diff --git a/applications/test/gatherValues1/Test-gatherValues1.C b/applications/test/gatherValues1/Test-gatherValues1.C
index 7fdbf92bf3..773e1b9d25 100644
--- a/applications/test/gatherValues1/Test-gatherValues1.C
+++ b/applications/test/gatherValues1/Test-gatherValues1.C
@@ -68,6 +68,29 @@ int main(int argc, char *argv[])
     }
 
 
+    // This now compiles (and works)
+    // - reverts to normal gather for non-contiguous
+    {
+        const wordList sendData({"hello", "world"});
+
+        // One-sided sizing!  master only
+        const globalIndex allProcAddr
+        (
+            sendData.size(),
+            globalIndex::gatherOnly{}
+        );
+
+        Pout<< "listGather sizes: " << flatOutput(allProcAddr.sizes()) << nl;
+
+        // Collect all values
+        wordList allValues
+        (
+            allProcAddr.mpiGather(sendData)
+        );
+
+        Pout<< "all-data: " << allValues << endl;
+    }
+
     // Gather all values
     {
         const auto& sendData = localValues;
@@ -75,8 +98,8 @@ int main(int argc, char *argv[])
         // One-sided sizing!  master only
         const globalIndex allProcAddr
         (
-            UPstream::listGatherValues<label>(sendData.size()),
-            globalIndex::SIZES
+            sendData.size(),
+            globalIndex::gatherOnly{}
         );
 
         Pout<< "listGather sizes: " << flatOutput(allProcAddr.sizes()) << nl;
diff --git a/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomerateLduAddressing.C b/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomerateLduAddressing.C
index 8cde62c9d0..09b9057ed0 100644
--- a/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomerateLduAddressing.C
+++ b/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomerateLduAddressing.C
@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2017 OpenFOAM Foundation
-    Copyright (C) 2019-2021 OpenCFD Ltd.
+    Copyright (C) 2019-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -206,9 +206,6 @@ void Foam::GAMGAgglomeration::agglomerateLduAddressing
     boolList& faceFlipMap = faceFlipMap_[fineLevelIndex];
 
 
-    label nFlipped = 0;
-    label nDissapear = 0;
-
     forAll(faceRestrictAddr, fineFacei)
     {
         label coarseFacei = faceRestrictAddr[fineFacei];
@@ -225,7 +222,6 @@ void Foam::GAMGAgglomeration::agglomerateLduAddressing
             if (cOwn == rmUpperAddr && cNei == rmLowerAddr)
             {
                 faceFlipMap[fineFacei] = true;
-                nFlipped++;
             }
             else if (cOwn == rmLowerAddr && cNei == rmUpperAddr)
             {
@@ -244,10 +240,6 @@ void Foam::GAMGAgglomeration::agglomerateLduAddressing
                     << exit(FatalError);
             }
         }
-        else
-        {
-            nDissapear++;
-        }
     }
 
 
@@ -513,39 +505,37 @@ void Foam::GAMGAgglomeration::procAgglomerateRestrictAddressing
 {
     // Collect number of cells
     labelList nFineCells;
-    gatherList
+    globalIndex::gatherValues
     (
         comm,
         procIDs,
         restrictAddressing_[levelIndex].size(),
-        nFineCells
-    );
+        nFineCells,
 
-    labelList offsets(nFineCells.size()+1);
-    {
-        offsets[0] = 0;
-        forAll(nFineCells, i)
-        {
-            offsets[i+1] = offsets[i] + nFineCells[i];
-        }
-    }
+        UPstream::msgType(),
+        UPstream::commsTypes::scheduled
+    );
+    labelList fineOffsets(globalIndex::calcOffsets(nFineCells));
 
     // Combine and renumber nCoarseCells
     labelList nCoarseCells;
-    gatherList
+    globalIndex::gatherValues
     (
         comm,
         procIDs,
         nCells_[levelIndex],
-        nCoarseCells
+        nCoarseCells,
+
+        UPstream::msgType(),
+        UPstream::commsTypes::scheduled
     );
+    labelList coarseOffsets(globalIndex::calcOffsets(nCoarseCells));
 
     // (cell)restrictAddressing
-    const globalIndex cellOffsetter(offsets);
-
     labelList procRestrictAddressing;
-    cellOffsetter.gather
+    globalIndex::gather
     (
+        fineOffsets,
         comm,
         procIDs,
         restrictAddressing_[levelIndex],
@@ -558,29 +548,22 @@ void Foam::GAMGAgglomeration::procAgglomerateRestrictAddressing
 
     if (Pstream::myProcNo(comm) == procIDs[0])
     {
-        labelList coarseCellOffsets(procIDs.size()+1);
-        {
-            coarseCellOffsets[0] = 0;
-            forAll(procIDs, i)
-            {
-                coarseCellOffsets[i+1] = coarseCellOffsets[i]+nCoarseCells[i];
-            }
-        }
-
-        nCells_[levelIndex] = coarseCellOffsets.last();
+        nCells_[levelIndex] = coarseOffsets.last();  // ie, totalSize()
 
         // Renumber consecutively
-        for (label proci = 1; proci < procIDs.size(); proci++)
+        for (label proci = 1; proci < procIDs.size(); ++proci)
         {
             SubList<label> procSlot
             (
                 procRestrictAddressing,
-                offsets[proci+1]-offsets[proci],
-                offsets[proci]
+                fineOffsets[proci+1]-fineOffsets[proci],
+                fineOffsets[proci]
             );
+
+            // procSlot += coarseOffsets[proci];
             forAll(procSlot, i)
             {
-                procSlot[i] += coarseCellOffsets[proci];
+                procSlot[i] += coarseOffsets[proci];
             }
         }
 
@@ -688,51 +671,6 @@ void Foam::GAMGAgglomeration::combineLevels(const label curLevel)
 }
 
 
-//void Foam::GAMGAgglomeration::gatherList
-//(
-//    const label comm,
-//    const labelList& procIDs,
-//
-//    const label myVal,
-//    labelList& vals,
-//    const int tag
-//)
-//{
-//    vals.setSize(procIDs.size());
-//
-//    if (Pstream::myProcNo(comm) == procIDs[0])
-//    {
-//        vals[0] = myVal;
-//
-//        for (label i=1; i<procIDs.size(); i++)
-//        {
-//            label& slaveVal = vals[i];
-//            IPstream::read
-//            (
-//                Pstream::commsTypes::scheduled,
-//                procIDs[i],
-//                reinterpret_cast<char*>(&slaveVal),
-//                sizeof(slaveVal),
-//                tag,
-//                comm
-//            );
-//        }
-//    }
-//    else
-//    {
-//        OPstream::write
-//        (
-//            Pstream::commsTypes::scheduled,
-//            procIDs[0],
-//            reinterpret_cast<const char*>(&myVal),
-//            sizeof(myVal),
-//            tag,
-//            comm
-//        );
-//    }
-//}
-
-
 void Foam::GAMGAgglomeration::calculateRegionMaster
 (
     const label comm,
diff --git a/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomeration.H b/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomeration.H
index 7377d0c95a..7e3ec1d195 100644
--- a/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomeration.H
+++ b/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomeration.H
@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2019-2020 OpenCFD Ltd.
+    Copyright (C) 2019-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -37,8 +37,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef GAMGAgglomeration_H
-#define GAMGAgglomeration_H
+#ifndef Foam_GAMGAgglomeration_H
+#define Foam_GAMGAgglomeration_H
 
 #include "MeshObject.H"
 #include "lduPrimitiveMesh.H"
@@ -161,18 +161,6 @@ protected:
             const label nCoarseCells
         ) const;
 
-        //- Gather value from all procIDs onto procIDs[0]
-        template<class Type>
-        static void gatherList
-        (
-            const label comm,
-            const labelList& procIDs,
-
-            const Type& myVal,
-            List<Type>& allVals,
-            const int tag = Pstream::msgType()
-        );
-
         void clearLevel(const label leveli);
 
 
diff --git a/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomerationTemplates.C b/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomerationTemplates.C
index 88fc8d2617..916c0e2ec4 100644
--- a/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomerationTemplates.C
+++ b/src/OpenFOAM/matrices/lduMatrix/solvers/GAMG/GAMGAgglomerations/GAMGAgglomeration/GAMGAgglomerationTemplates.C
@@ -31,50 +31,6 @@ License
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
-template<class Type>
-void Foam::GAMGAgglomeration::gatherList
-(
-    const label comm,
-    const labelList& procIDs,
-    const Type& myVal,
-    List<Type>& allVals,
-    const int tag
-)
-{
-    if (Pstream::myProcNo(comm) == procIDs[0])
-    {
-        allVals.setSize(procIDs.size());
-
-        allVals[0] = myVal;
-        for (label i=1; i<procIDs.size(); i++)
-        {
-            IPstream fromSlave
-            (
-                Pstream::commsTypes::scheduled,
-                procIDs[i],
-                0,
-                tag,
-                comm
-            );
-
-            fromSlave >> allVals[i];
-        }
-    }
-    else
-    {
-        OPstream toMaster
-        (
-            Pstream::commsTypes::scheduled,
-            procIDs[0],
-            0,
-            tag,
-            comm
-        );
-        toMaster << myVal;
-    }
-}
-
-
 template<class Type>
 void Foam::GAMGAgglomeration::restrictField
 (
@@ -114,11 +70,12 @@ void Foam::GAMGAgglomeration::restrictField
 
     restrictField(cf, ff, fineToCoarse);
 
-    label coarseLevelIndex = fineLevelIndex+1;
+    const label coarseLevelIndex = fineLevelIndex+1;
 
     if (procAgglom && hasProcMesh(coarseLevelIndex))
     {
-        label fineComm = UPstream::parent(procCommunicator_[coarseLevelIndex]);
+        const label coarseComm =
+            UPstream::parent(procCommunicator_[coarseLevelIndex]);
 
         const List<label>& procIDs = agglomProcIDs(coarseLevelIndex);
         const labelList& offsets = cellOffsets(coarseLevelIndex);
@@ -126,7 +83,7 @@ void Foam::GAMGAgglomeration::restrictField
         globalIndex::gather
         (
             offsets,
-            fineComm,
+            coarseComm,
             procIDs,
             cf,
             UPstream::msgType(),
@@ -180,19 +137,17 @@ void Foam::GAMGAgglomeration::prolongField
 {
     const labelList& fineToCoarse = restrictAddressing_[levelIndex];
 
-    label coarseLevelIndex = levelIndex+1;
+    const label coarseLevelIndex = levelIndex+1;
 
     if (procAgglom && hasProcMesh(coarseLevelIndex))
     {
-        label coarseComm = UPstream::parent
-        (
-            procCommunicator_[coarseLevelIndex]
-        );
+        const label coarseComm =
+            UPstream::parent(procCommunicator_[coarseLevelIndex]);
 
         const List<label>& procIDs = agglomProcIDs(coarseLevelIndex);
         const labelList& offsets = cellOffsets(coarseLevelIndex);
 
-        label localSize = nCells_[levelIndex];
+        const label localSize = nCells_[levelIndex];
 
         Field<Type> allCf(localSize);
         globalIndex::scatter
diff --git a/src/OpenFOAM/parallel/globalIndex/globalIndex.H b/src/OpenFOAM/parallel/globalIndex/globalIndex.H
index f32eef6b39..2d4496c46d 100644
--- a/src/OpenFOAM/parallel/globalIndex/globalIndex.H
+++ b/src/OpenFOAM/parallel/globalIndex/globalIndex.H
@@ -408,389 +408,432 @@ public:
             const bool checkOverflow = false
         );
 
+        //- Collect single values in processor order on master (== procIDs[0]).
+        //  Handles contiguous/non-contiguous data.
+        template<class ProcIDsContainer, class Type>
+        static void gatherValues
+        (
+            const label comm,           //!< communicator
+            const ProcIDsContainer& procIDs,
+            const Type& localValue,
+            List<Type>& allValues,      //! output field (master only)
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::scheduled
+        );
 
-    // Other
+        //- Collect data in processor order on master (== procIDs[0]).
+        //  Handles contiguous/non-contiguous data, skips empty fields.
+        template<class ProcIDsContainer, class Type>
+        static void gather
+        (
+            const labelUList& offsets,  //!< offsets (master only)
+            const label comm,           //!< communicator
+            const ProcIDsContainer& procIDs,
+            const UList<Type>& fld,
+            List<Type>& allFld,         //! output field (master only)
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking
+        );
 
-        // Gather (helpers)
+        //- Collect indirect data in processor order on master
+        //  Handles contiguous/non-contiguous data, skips empty fields.
+        template<class Type, class Addr>
+        static void gather
+        (
+            const labelUList& offsets,  //!< offsets (master only)
+            const label comm,           //!< communicator
+            const UList<int>& procIDs,
+            const IndirectListBase<Type, Addr>& fld,
+            List<Type>& allFld,         //! output field (master only)
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::scheduled
+        );
 
-            //- Collect data in processor order on master (== procIDs[0]).
-            //  \note offsets needed on master only.
-            template<class ProcIDsContainer, class Type>
-            static void gather
-            (
-                const labelUList& offsets,
-                const label comm,       //!< communicator
-                const ProcIDsContainer& procIDs,
-                const UList<Type>& fld,
-                List<Type>& allFld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking
-            );
 
-            //- Collect indirect data in processor order on master
-            //  \note offsets needed on master only.
-            template<class Type, class Addr>
-            static void gather
-            (
-                const labelUList& offsets,
-                const label comm,       //!< communicator
-                const UList<int>& procIDs,
-                const IndirectListBase<Type, Addr>& fld,
-                List<Type>& allFld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::scheduled
-            );
+    // Misc low-level gather routines
 
-            //- Inplace collect in processor order on master (== procIDs[0]).
-            //  \note offsets needed on master only.
-            template<class ProcIDsContainer, class Type>
-            static void gather
-            (
-                const labelUList& offsets,
-                const label comm,       //!< communicator
-                const ProcIDsContainer& procIDs,
-                List<Type>& fld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking
-            );
-
-            //- Collect data in processor order on master (== procIDs[0]).
-            //  \note the globalIndex offsets needed on master only.
-            template<class ProcIDsContainer, class Type>
-            void gather
-            (
-                const label comm,       //!< communicator
-                const ProcIDsContainer& procIDs,
-                const UList<Type>& fld,
-                List<Type>& allFld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes commsType =
-                    Pstream::commsTypes::nonBlocking
-            ) const
+        //- Inplace collect in processor order on master (== procIDs[0]).
+        //  Note: adjust naming?
+        template<class ProcIDsContainer, class Type>
+        static void gather
+        (
+            const labelUList& offsets,  //!< offsets (master only)
+            const label comm,           //!< communicator
+            const ProcIDsContainer& procIDs,
+            List<Type>& fld,            //!< in/out field
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes ct = UPstream::commsTypes::nonBlocking
+        )
+        {
+            List<Type> allData;
+            gather(offsets, comm, procIDs, fld, allData, tag, ct);
+            if (Pstream::myProcNo(comm) == procIDs[0])
             {
-                gather(offsets_, comm, procIDs, fld, allFld, tag, commsType);
+                fld.transfer(allData);
             }
+        }
 
-            //- Inplace collect in processor order on master (== procIDs[0]).
-            //  \note the globalIndex offsets needed on master only.
-            template<class ProcIDsContainer, class Type>
-            void gather
-            (
-                const label comm,       //!< communicator
-                const ProcIDsContainer& procIDs,
-                List<Type>& fld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes commsType =
-                    Pstream::commsTypes::nonBlocking
-            ) const
-            {
-                gather(offsets_, comm, procIDs, fld, tag, commsType);
-            }
+        //- Collect data in processor order on master (== procIDs[0]).
+        //  \note the globalIndex offsets needed on master only.
+        template<class ProcIDsContainer, class Type>
+        void gather
+        (
+            const label comm,           //!< communicator
+            const ProcIDsContainer& procIDs,
+            const UList<Type>& fld,     //!< input field
+            List<Type>& allFld,         //! output field (master only)
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes ct = UPstream::commsTypes::nonBlocking
+        ) const
+        {
+            gather(offsets_, comm, procIDs, fld, allFld, tag, ct);
+        }
+
+        //- Inplace collect in processor order on master (== procIDs[0]).
+        //  \note the globalIndex offsets needed on master only.
+        //  Note: adjust naming?
+        template<class ProcIDsContainer, class Type>
+        void gather
+        (
+            const label comm,           //!< communicator
+            const ProcIDsContainer& procIDs,
+            List<Type>& fld,            //!< in/out field
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes ct = UPstream::commsTypes::nonBlocking
+        ) const
+        {
+            gather(offsets_, comm, procIDs, fld, tag, ct);
+        }
 
 
-        // Gather
+    // Gather
 
-            //- Collect data in processor order on master
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator, message tag.
-            template<class Type>
-            void gather
-            (
-                const UList<Type>& sendData,
-                List<Type>& allData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Collect data in processor order on master
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator, message tag.
+        template<class Type>
+        void gather
+        (
+            const UList<Type>& sendData,
+            List<Type>& allData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        ) const;
 
-            //- Collect data indirectly in processor order on master
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator, message tag.
-            template<class Type, class Addr>
-            void gather
-            (
-                const IndirectListBase<Type, Addr>& sendData,
-                List<Type>& allData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::scheduled,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Collect data indirectly in processor order on master
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator, message tag.
+        template<class Type, class Addr>
+        void gather
+        (
+            const IndirectListBase<Type, Addr>& sendData,
+            List<Type>& allData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        ) const;
 
-            //- Collect data in processor order on master
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator, message tag.
-            //
-            //  \return output (master), zero-sized on non-master
-            template<class Type, class OutputContainer = List<Type>>
-            OutputContainer gather
-            (
-                const UList<Type>& sendData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Collect data in processor order on master
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator, message tag.
+        //
+        //  \return output (master), zero-sized on non-master
+        template<class Type, class OutputContainer = List<Type>>
+        OutputContainer gather
+        (
+            const UList<Type>& sendData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        ) const;
 
-            //- Collect data indirectly in processor order on master.
-            //  Communication with default/specified communicator, message tag.
-            //
-            //  \return output (master), zero-sized on non-master
-            template<class Type, class Addr, class OutputContainer = List<Type>>
-            OutputContainer gather
-            (
-                const IndirectListBase<Type, Addr>& sendData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::scheduled,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Collect data indirectly in processor order on master.
+        //  Communication with default/specified communicator, message tag.
+        //
+        //  \return output (master), zero-sized on non-master
+        template<class Type, class Addr, class OutputContainer = List<Type>>
+        OutputContainer gather
+        (
+            const IndirectListBase<Type, Addr>& sendData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        ) const;
 
-            //- Inplace collect data in processor order on master
-            //- (in serial: a no-op).
-            //  Communication with default/specified communicator, message tag.
-            //  After the gather, the field is zero-sized on the slaves.
-            template<class Type>
-            void gatherInplace
-            (
-                List<Type>& fld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Inplace collect data in processor order on master
+        //- (in serial: a no-op).
+        //  Communication with default/specified communicator, message tag.
+        //  After the gather, the field is zero-sized on the slaves.
+        template<class Type>
+        void gatherInplace
+        (
+            List<Type>& fld,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        ) const;
 
-            //- Collect \em contiguous data using a MPI_Gatherv call
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator.
-            //  \attention The nProcs for globalIndex and communicator
-            //      must match!!
-            //
-            //  The allData is output (master), zero-sized on non-master
-            template<class Type, class OutputContainer = List<Type>>
-            void mpiGather
-            (
-                const UList<Type>& sendData,
-                OutputContainer& allData,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Use MPI_Gatherv call for contiguous data when possible
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator.
+        //  \attention The nProcs for globalIndex and communicator
+        //      must match!!
+        //
+        //  The allData is output (master), zero-sized on non-master
+        template<class Type, class OutputContainer = List<Type>>
+        void mpiGather
+        (
+            const UList<Type>& sendData,
+            OutputContainer& allData,
+            const label comm = UPstream::worldComm,  //!< communicator
 
-            //- Collect \em contiguous data using a MPI_Gatherv call
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator.
-            //  \attention The nProcs for globalIndex and communicator
-            //      must match!!
-            //
-            //  \return output (master), zero-sized on non-master
-            template<class Type, class OutputContainer = List<Type>>
-            OutputContainer mpiGather
-            (
-                const UList<Type>& sendData,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+            // For fallback routines:
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const int tag = UPstream::msgType()
+        ) const;
 
-            //- Inplace collect \em contiguous data using a MPI_Gatherv call
-            //- (in serial: a no-op).
-            //  Communication with default/specified communicator.
-            //  \attention The nProcs for globalIndex and communicator
-            //      must match!!
-            //
-            //  After the gather, the field is zero-sized on non-master.
-            template<class Type>
-            void mpiGatherInplace
-            (
-                List<Type>& fld,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Use MPI_Gatherv call for contiguous data when possible
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator.
+        //  \attention The nProcs for globalIndex and communicator
+        //      must match!!
+        //
+        //  \return output (master), zero-sized on non-master
+        template<class Type, class OutputContainer = List<Type>>
+        OutputContainer mpiGather
+        (
+            const UList<Type>& sendData,
+            const label comm = UPstream::worldComm,  //!< communicator
+
+            // For fallback routines:
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const int tag = UPstream::msgType()
+        ) const;
+
+        //- Use MPI_Gatherv call to inplace collect contiguous data
+        //- when possible.
+        //- (in serial: a no-op).
+        //  Communication with default/specified communicator.
+        //  \attention The nProcs for globalIndex and communicator
+        //      must match!!
+        //
+        //  After the gather, the field is zero-sized on non-master.
+        template<class Type>
+        void mpiGatherInplace
+        (
+            List<Type>& fld,
+            const label comm = UPstream::worldComm,  //!< communicator
+
+            // For fallback routines:
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const int tag = UPstream::msgType()
+        ) const;
 
 
-        // Gather Operations
+    // Gather Operations
 
-            //- Collect \em contiguous data using a MPI_Gatherv call
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator.
-            //
-            //  The allData is output (master), zero-sized on non-master
-            template<class Type, class OutputContainer = List<Type>>
-            static void mpiGatherOp
-            (
-                const UList<Type>& sendData,
-                OutputContainer& allData,
-                const label comm = UPstream::worldComm  //!< communicator
-            );
+        //- Use MPI_Gatherv call to collect contiguous data when possible
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator.
+        //
+        //  The allData is output (master), zero-sized on non-master
+        template<class Type, class OutputContainer = List<Type>>
+        static void mpiGatherOp
+        (
+            const UList<Type>& sendData,
+            OutputContainer& allData,
+            const label comm = UPstream::worldComm,  //!< communicator
 
-            //- Collect \em contiguous data using a MPI_Gatherv call
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator.
-            //
-            //  \return output (master), zero-sized on non-master
-            template<class Type, class OutputContainer = List<Type>>
-            static OutputContainer mpiGatherOp
-            (
-                const UList<Type>& sendData,
-                const label comm = UPstream::worldComm  //!< communicator
-            );
+            // For fallback routines:
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const int tag = UPstream::msgType()
+        );
 
-            //- Inplace collect \em contiguous data using a MPI_Gatherv call
-            //- (in serial: a no-op).
-            //  Communication with default/specified communicator.
-            //
-            //  After the gather, the field is zero-sized on non-master.
-            template<class Type>
-            static void mpiGatherInplaceOp
-            (
-                List<Type>& fld,
-                const label comm = UPstream::worldComm  //!< communicator
-            );
+        //- Use MPI_Gatherv call to collect contiguous data when possible
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator.
+        //
+        //  \return output (master), zero-sized on non-master
+        template<class Type, class OutputContainer = List<Type>>
+        static OutputContainer mpiGatherOp
+        (
+            const UList<Type>& sendData,
+            const label comm = UPstream::worldComm,  //!< communicator
 
-            //- Collect data in processor order on master
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator, message tag.
-            //
-            //  The allFld is output (master), zero-sized on non-master
-            template<class Type>
-            static void gatherOp
-            (
-                const UList<Type>& sendData,
-                List<Type>& allData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            );
+            // For fallback routines:
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const int tag = UPstream::msgType()
+        );
 
-            //- Collect data in processor order on master
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator, message tag.
-            //
-            //  The allFld is output (master), zero-sized on non-master
-            template<class Type, class Addr>
-            static void gatherOp
-            (
-                const IndirectListBase<Type, Addr>& sendData,
-                List<Type>& allData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            );
+        //- Use MPI_Gatherv call to inplace collect contiguous data
+        //- when possible.
+        //- (in serial: a no-op).
+        //  Communication with default/specified communicator.
+        //
+        //  After the gather, the field is zero-sized on non-master.
+        template<class Type>
+        static void mpiGatherInplaceOp
+        (
+            List<Type>& fld,
+            const label comm = UPstream::worldComm,  //!< communicator
 
-            //- Collect and return data in processor order on master
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator, message tag.
-            //
-            //  \return output (master), zero-sized on non-master
-            template<class Type, class OutputContainer = List<Type>>
-            static OutputContainer gatherOp
-            (
-                const UList<Type>& sendData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            );
+            // For fallback routines:
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const int tag = UPstream::msgType()
+        );
 
-            //- Collect and return data in processor order on master
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator, message tag.
-            //
-            //  \return output (master), zero-sized on non-master
-            template<class Type, class Addr, class OutputContainer = List<Type>>
-            static OutputContainer gatherOp
-            (
-                const IndirectListBase<Type, Addr>& sendData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            );
+        //- Collect data in processor order on master
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator, message tag.
+        //
+        //  The allFld is output (master), zero-sized on non-master
+        template<class Type>
+        static void gatherOp
+        (
+            const UList<Type>& sendData,
+            List<Type>& allData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        );
 
-            //- Inplace collect data in processor order on master
-            //- (in serial: a no-op).
-            //  Communication with default/specified communicator, message tag.
-            //
-            //  After the gather, the field is zero-sized on the slaves.
-            template<class Type>
-            static void gatherInplaceOp
-            (
-                List<Type>& fld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            );
+        //- Collect data in processor order on master
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator, message tag.
+        //
+        //  The allFld is output (master), zero-sized on non-master
+        template<class Type, class Addr>
+        static void gatherOp
+        (
+            const IndirectListBase<Type, Addr>& sendData,
+            List<Type>& allData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        );
+
+        //- Collect and return data in processor order on master
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator, message tag.
+        //
+        //  \return output (master), zero-sized on non-master
+        template<class Type, class OutputContainer = List<Type>>
+        static OutputContainer gatherOp
+        (
+            const UList<Type>& sendData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        );
+
+        //- Collect and return data in processor order on master
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator, message tag.
+        //
+        //  \return output (master), zero-sized on non-master
+        template<class Type, class Addr, class OutputContainer = List<Type>>
+        static OutputContainer gatherOp
+        (
+            const IndirectListBase<Type, Addr>& sendData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        );
+
+        //- Inplace collect data in processor order on master
+        //- (in serial: a no-op).
+        //  Communication with default/specified communicator, message tag.
+        //
+        //  After the gather, the field is zero-sized on the slaves.
+        template<class Type>
+        static void gatherInplaceOp
+        (
+            List<Type>& fld,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        );
 
 
-        // Scatter
+    // Scatter
 
-            //- Distribute data in processor order.
-            //  Requires fld to be correctly sized!
-            //  Communication with default/specified communicator, message tag.
-            //  \note offsets needed on master only.
-            template<class ProcIDsContainer, class Type>
-            static void scatter
-            (
-                const labelUList& offsets,
-                const label comm,       //!< communicator
-                const ProcIDsContainer& procIDs,
-                const UList<Type>& allFld,
-                UList<Type>& fld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking
-            );
+        //- Distribute data in processor order.
+        //  Requires fld to be correctly sized!
+        //  Communication with default/specified communicator, message tag.
+        template<class ProcIDsContainer, class Type>
+        static void scatter
+        (
+            const labelUList& offsets,  //!< offsets (master only)
+            const label comm,           //!< communicator
+            const ProcIDsContainer& procIDs,
+            const UList<Type>& allFld,
+            UList<Type>& fld,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking
+        );
 
-            //- Distribute data in processor order.
-            //  Requires fld to be correctly sized!
-            //  Communication with default/specified communicator, message tag.
-            //  \note the globalIndex offsets needed on master only.
-            template<class ProcIDsContainer, class Type>
-            void scatter
-            (
-                const label comm,       //!< communicator
-                const ProcIDsContainer& procIDs,
-                const UList<Type>& allFld,
-                UList<Type>& fld,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes commsType =
-                    Pstream::commsTypes::nonBlocking
-            ) const
-            {
-                scatter(offsets_, comm, procIDs, allFld, fld, tag, commsType);
-            }
+        //- Distribute data in processor order.
+        //  Requires fld to be correctly sized!
+        //  Communication with default/specified communicator, message tag.
+        //  \note the globalIndex offsets needed on master only.
+        template<class ProcIDsContainer, class Type>
+        void scatter
+        (
+            const label comm,           //!< communicator
+            const ProcIDsContainer& procIDs,
+            const UList<Type>& allFld,
+            UList<Type>& fld,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes ct =
+                UPstream::commsTypes::nonBlocking
+        ) const
+        {
+            scatter(offsets_, comm, procIDs, allFld, fld, tag, ct);
+        }
 
-            //- Distribute data in processor order.
-            //  Requires fld to be correctly sized!
-            //  Communication with default/specified communicator, message tag.
-            //  \note the globalIndex offsets needed on master only.
-            template<class Type>
-            void scatter
-            (
-                const UList<Type>& allData,
-                UList<Type>& localData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Distribute data in processor order.
+        //  Requires fld to be correctly sized!
+        //  Communication with default/specified communicator, message tag.
+        //  \note the globalIndex offsets needed on master only.
+        template<class Type>
+        void scatter
+        (
+            const UList<Type>& allData,
+            UList<Type>& localData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        ) const;
 
-            //- Distribute data in processor order
-            //- (in serial: performs a simple copy).
-            //  Communication with default/specified communicator, message tag.
-            //  \note the globalIndex offsets needed on master only.
-            template<class Type, class OutputContainer = List<Type>>
-            OutputContainer scatter
-            (
-                const UList<Type>& allData,
-                const int tag = UPstream::msgType(),
-                const Pstream::commsTypes = Pstream::commsTypes::nonBlocking,
-                const label comm = UPstream::worldComm  //!< communicator
-            ) const;
+        //- Distribute data in processor order
+        //- (in serial: performs a simple copy).
+        //  Communication with default/specified communicator, message tag.
+        //  \note the globalIndex offsets needed on master only.
+        template<class Type, class OutputContainer = List<Type>>
+        OutputContainer scatter
+        (
+            const UList<Type>& allData,
+            const int tag = UPstream::msgType(),
+            const UPstream::commsTypes = UPstream::commsTypes::nonBlocking,
+            const label comm = UPstream::worldComm  //!< communicator
+        ) const;
 
 
-        // Scatter
+    // Scatter
 
-            //- Get (potentially remote) data.
-            //- Elements required given as global indices
-            //  Communication with default/specified communicator, message tag.
-            template<class Type, class CombineOp>
-            void get
-            (
-                List<Type>& allFld,
-                const labelUList& globalIds,
-                const CombineOp& cop,
-                const label comm = UPstream::worldComm,  //!< communicator
-                const int tag = UPstream::msgType()
-            ) const;
+        //- Get (potentially remote) data.
+        //- Elements required given as global indices
+        //  Communication with default/specified communicator, message tag.
+        template<class Type, class CombineOp>
+        void get
+        (
+            List<Type>& allFld,
+            const labelUList& globalIds,
+            const CombineOp& cop,
+            const label comm = UPstream::worldComm,  //!< communicator
+            const int tag = UPstream::msgType()
+        ) const;
 
 
     // IOstream Operators
diff --git a/src/OpenFOAM/parallel/globalIndex/globalIndexTemplates.C b/src/OpenFOAM/parallel/globalIndex/globalIndexTemplates.C
index a653d34fac..1a4b59b5bc 100644
--- a/src/OpenFOAM/parallel/globalIndex/globalIndexTemplates.C
+++ b/src/OpenFOAM/parallel/globalIndex/globalIndexTemplates.C
@@ -64,6 +64,90 @@ Foam::globalIndex::calcListOffsets
 }
 
 
+template<class ProcIDsContainer, class Type>
+void Foam::globalIndex::gatherValues
+(
+    const label comm,
+    const ProcIDsContainer& procIDs,
+    const Type& localValue,
+    List<Type>& allValues,
+    const int tag,
+    const UPstream::commsTypes preferredCommsType
+)
+{
+    // low-level: no parRun guard
+
+    // Automatically change from nonBlocking to scheduled for
+    // non-contiguous data.
+    const UPstream::commsTypes commsType =
+    (
+        (
+            !is_contiguous<Type>::value
+         && UPstream::commsTypes::nonBlocking == preferredCommsType
+        )
+      ? UPstream::commsTypes::scheduled
+      : preferredCommsType
+    );
+
+    const label startOfRequests = UPstream::nRequests();
+
+    if (UPstream::myProcNo(comm) == procIDs[0])
+    {
+        allValues.resize_nocopy(procIDs.size());
+        allValues[0] = localValue;
+
+        for (label i = 1; i < procIDs.size(); ++i)
+        {
+            if (is_contiguous<Type>::value)
+            {
+                IPstream::read
+                (
+                    commsType,
+                    procIDs[i],
+                    reinterpret_cast<char*>(&allValues[i]),
+                    sizeof(Type),
+                    tag,
+                    comm
+                );
+            }
+            else
+            {
+                IPstream fromProc(commsType, procIDs[i], 0, tag, comm);
+                fromProc >> allValues[i];
+            }
+        }
+    }
+    else
+    {
+        allValues.clear();  // safety: zero-size on non-master
+
+        if (is_contiguous<Type>::value)
+        {
+            OPstream::write
+            (
+                commsType,
+                procIDs[0],
+                reinterpret_cast<const char*>(&localValue),
+                sizeof(Type),
+                tag,
+                comm
+            );
+        }
+        else
+        {
+            OPstream toMaster(commsType, procIDs[0], 0, tag, comm);
+            toMaster << localValue;
+        }
+    }
+
+    if (commsType == UPstream::commsTypes::nonBlocking)
+    {
+        // Wait for all to finish
+        UPstream::waitRequests(startOfRequests);
+    }
+}
+
+
 template<class ProcIDsContainer, class Type>
 void Foam::globalIndex::gather
 (
@@ -73,7 +157,7 @@ void Foam::globalIndex::gather
     const UList<Type>& fld,
     List<Type>& allFld,
     const int tag,
-    const Pstream::commsTypes preferredCommsType
+    const UPstream::commsTypes preferredCommsType
 )
 {
     // low-level: no parRun guard
@@ -156,7 +240,7 @@ void Foam::globalIndex::gather
         }
     }
 
-    if (commsType == Pstream::commsTypes::nonBlocking)
+    if (commsType == UPstream::commsTypes::nonBlocking)
     {
         // Wait for all to finish
         UPstream::waitRequests(startOfRequests);
@@ -173,7 +257,7 @@ void Foam::globalIndex::gather
     const IndirectListBase<Type, Addr>& fld,
     List<Type>& allFld,
     const int tag,
-    const Pstream::commsTypes preferredCommsType
+    const UPstream::commsTypes preferredCommsType
 )
 {
     // low-level: no parRun guard
@@ -190,6 +274,8 @@ void Foam::globalIndex::gather
       : preferredCommsType
     );
 
+    const label startOfRequests = UPstream::nRequests();
+
     if (Pstream::myProcNo(comm) == procIDs[0])
     {
         allFld.resize_nocopy(off.last());  // == totalSize()
@@ -231,29 +317,11 @@ void Foam::globalIndex::gather
             toMaster << fld;
         }
     }
-}
 
-
-template<class ProcIDsContainer, class Type>
-void Foam::globalIndex::gather
-(
-    const labelUList& off,  // needed on master only
-    const label comm,
-    const ProcIDsContainer& procIDs,
-    List<Type>& fld,
-    const int tag,
-    const Pstream::commsTypes commsType
-)
-{
-    // low-level: no parRun guard
-
-    List<Type> allData;
-
-    gather(off, comm, procIDs, fld, allData, tag, commsType);
-
-    if (Pstream::myProcNo(comm) == procIDs[0])
+    if (commsType == UPstream::commsTypes::nonBlocking)
     {
-        fld.transfer(allData);
+        // Wait for all to finish
+        UPstream::waitRequests(startOfRequests);
     }
 }
 
@@ -266,13 +334,19 @@ void Foam::globalIndex::gather
     const UList<Type>& sendData,
     List<Type>& allData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 ) const
 {
-    if (UPstream::parRun())
+    if (!UPstream::parRun())
     {
-        gather
+        // Serial: direct copy
+        allData = sendData;
+        return;
+    }
+
+    {
+        globalIndex::gather
         (
             offsets_,  // needed on master only
             comm,
@@ -287,11 +361,6 @@ void Foam::globalIndex::gather
             allData.clear();  // safety: zero-size on non-master
         }
     }
-    else
-    {
-        // Serial: direct copy
-        allData = sendData;
-    }
 }
 
 
@@ -301,13 +370,19 @@ void Foam::globalIndex::gather
     const IndirectListBase<Type, Addr>& sendData,
     List<Type>& allData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 ) const
 {
-    if (UPstream::parRun())
+    if (!UPstream::parRun())
     {
-        gather
+        // Serial: direct copy
+        allData = sendData;
+        return;
+    }
+
+    {
+        globalIndex::gather
         (
             offsets_,  // needed on master only
             comm,
@@ -322,11 +397,6 @@ void Foam::globalIndex::gather
             allData.clear();  // safety: zero-size on non-master
         }
     }
-    else
-    {
-        // Serial: direct copy
-        allData = List<Type>(sendData);
-    }
 }
 
 
@@ -335,7 +405,7 @@ OutputContainer Foam::globalIndex::gather
 (
     const UList<Type>& sendData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 ) const
 {
@@ -350,7 +420,7 @@ OutputContainer Foam::globalIndex::gather
 (
     const IndirectListBase<Type, Addr>& sendData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 ) const
 {
@@ -365,23 +435,14 @@ void Foam::globalIndex::gatherInplace
 (
     List<Type>& fld,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 ) const
 {
     if (UPstream::parRun())
     {
         List<Type> allData;
-
-        gather
-        (
-            comm,
-            UPstream::procID(comm),
-            fld,
-            allData,
-            tag,
-            commsType
-        );
+        gather(fld, allData, tag, commsType, comm);
 
         if (UPstream::master(comm))
         {
@@ -401,7 +462,10 @@ void Foam::globalIndex::mpiGather
 (
     const UList<Type>& sendData,
     OutputContainer& allData,
-    const label comm
+    const label comm,
+
+    const UPstream::commsTypes commsType,
+    const int tag
 ) const
 {
     if (!UPstream::parRun())
@@ -410,57 +474,150 @@ void Foam::globalIndex::mpiGather
         allData = sendData;
         return;
     }
-    if (!is_contiguous<Type>::value)
-    {
-        FatalErrorInFunction
-            << "Cannot be called for non-contiguous data" << nl
-            << abort(FatalError);
-    }
 
-    auto nSendBytes = sendData.size_bytes();
+    // MPI_Gatherv requires contiguous data, but a byte-wise transfer can
+    // quickly exceed the 'int' limits used for MPI sizes/offsets.
+    // Thus gather label/scalar components when possible to increase the
+    // effective size limit.
+    //
+    // Note: cannot rely on pTraits (cmptType, nComponents) since this method
+    // needs to compile (and work) even with things like strings etc.
 
-    List<int> recvSizes;
+    // Single char ad hoc "enum":
+    // - b(yte):  gather bytes
+    // - f(loat): gather scalars components
+    // - i(nt):   gather label components
+    // - 0:       gather with Pstream read/write etc.
+
+    List<int> recvCounts;
     List<int> recvOffsets;
 
-    if (UPstream::master(comm))
+    char dataMode(0);
+    int nCmpts(0);
+
+    if (is_contiguous<Type>::value)
     {
-        const globalIndex& globalAddr = *this;
-
-        // Must be the same as Pstream::nProcs(comm), at least on master!!
-        const label nproc = globalAddr.nProcs();
-
-        // Allow request of 0 entries to be sent on master
-        if (!globalAddr.localSize(0))
+        if (is_contiguous_scalar<Type>::value)
         {
-            nSendBytes = 0;
+            dataMode = 'f';
+            nCmpts = static_cast<int>(sizeof(Type)/sizeof(scalar));
+        }
+        else if (is_contiguous_label<Type>::value)
+        {
+            dataMode = 'i';
+            nCmpts = static_cast<int>(sizeof(Type)/sizeof(label));
+        }
+        else
+        {
+            dataMode = 'b';
+            nCmpts = static_cast<int>(sizeof(Type));
         }
 
-        allData.resize_nocopy(globalAddr.totalSize());
-
-        recvSizes.resize(nproc);
-        recvOffsets.resize(nproc+1);
-
-        for (label proci = 0; proci < nproc; ++proci)
+        // Offsets must fit into int
+        if (UPstream::master(comm))
         {
-            recvSizes[proci] = globalAddr.localSize(proci) * sizeof(Type);
-            recvOffsets[proci] = globalAddr.localStart(proci) * sizeof(Type);
+            const globalIndex& globalAddr = *this;
+
+            if (globalAddr.totalSize() > (INT_MAX/nCmpts))
+            {
+                // Offsets do not fit into int - revert to manual.
+                dataMode = 0;
+            }
+            else
+            {
+                // Must be same as Pstream::nProcs(comm), at least on master!
+                const label nproc = globalAddr.nProcs();
+
+                allData.resize_nocopy(globalAddr.totalSize());
+
+                recvCounts.resize(nproc);
+                recvOffsets.resize(nproc+1);
+
+                for (label proci = 0; proci < nproc; ++proci)
+                {
+                    recvCounts[proci] = globalAddr.localSize(proci)*nCmpts;
+                    recvOffsets[proci] = globalAddr.localStart(proci)*nCmpts;
+                }
+                recvOffsets[nproc] = globalAddr.totalSize()*nCmpts;
+
+                // Assign local data directly
+
+                recvCounts[0] = 0;  // ie, ignore for MPI_Gatherv
+                SubList<Type>(allData, globalAddr.range(0)) =
+                    SubList<Type>(sendData, globalAddr.range(0));
+            }
         }
-        recvOffsets[nproc] = globalAddr.totalSize() * sizeof(Type);
+
+        // Consistent information for everyone
+        UPstream::broadcast(&dataMode, 1, comm);
     }
-    else
+
+    // Dispatch
+    switch (dataMode)
+    {
+        case 'b':   // Byte-wise
+        {
+            UPstream::gather
+            (
+                sendData.cdata_bytes(),
+                sendData.size_bytes(),
+                allData.data_bytes(),
+                recvCounts,
+                recvOffsets,
+                comm
+            );
+            break;
+        }
+        case 'f':   // Float (scalar) components
+        {
+            typedef scalar cmptType;
+
+            UPstream::gather
+            (
+                reinterpret_cast<const cmptType*>(sendData.cdata()),
+                (sendData.size()*nCmpts),
+                reinterpret_cast<cmptType*>(allData.data()),
+                recvCounts,
+                recvOffsets,
+                comm
+            );
+            break;
+        }
+        case 'i':   // Int (label) components
+        {
+            typedef label cmptType;
+
+            UPstream::gather
+            (
+                reinterpret_cast<const cmptType*>(sendData.cdata()),
+                (sendData.size()*nCmpts),
+                reinterpret_cast<cmptType*>(allData.data()),
+                recvCounts,
+                recvOffsets,
+                comm
+            );
+            break;
+        }
+        default:    // Regular (manual) gathering
+        {
+            globalIndex::gather
+            (
+                offsets_,  // needed on master only
+                comm,
+                UPstream::procID(comm),
+                sendData,
+                allData,
+                tag,
+                commsType
+            );
+            break;
+        }
+    }
+
+    if (!UPstream::master(comm))
     {
         allData.clear();  // safety: zero-size on non-master
     }
-
-    UPstream::gather
-    (
-        sendData.cdata_bytes(),
-        nSendBytes,
-        allData.data_bytes(),
-        recvSizes,
-        recvOffsets,
-        comm
-    );
 }
 
 
@@ -468,11 +625,14 @@ template<class Type, class OutputContainer>
 OutputContainer Foam::globalIndex::mpiGather
 (
     const UList<Type>& sendData,
-    const label comm
+    const label comm,
+
+    const UPstream::commsTypes commsType,
+    const int tag
 ) const
 {
     OutputContainer allData;
-    mpiGather(sendData, allData, comm);
+    mpiGather(sendData, allData, comm, commsType, tag);
     return allData;
 }
 
@@ -481,13 +641,16 @@ template<class Type>
 void Foam::globalIndex::mpiGatherInplace
 (
     List<Type>& fld,
-    const label comm
+    const label comm,
+
+    const UPstream::commsTypes commsType,
+    const int tag
 ) const
 {
     if (UPstream::parRun())
     {
         List<Type> allData;
-        mpiGather(fld, allData, comm);
+        mpiGather(fld, allData, comm, commsType, tag);
 
         if (UPstream::master(comm))
         {
@@ -507,14 +670,17 @@ void Foam::globalIndex::mpiGatherOp
 (
     const UList<Type>& sendData,
     OutputContainer& allData,
-    const label comm
+    const label comm,
+
+    const UPstream::commsTypes commsType,
+    const int tag
 )
 {
     if (UPstream::parRun())
     {
         // Gather sizes - only needed on master
         globalIndex(sendData.size(), globalIndex::gatherOnly{}, comm)
-            .mpiGather(sendData, allData, comm);
+            .mpiGather(sendData, allData, comm, commsType, tag);
     }
     else
     {
@@ -528,11 +694,14 @@ template<class Type, class OutputContainer>
 OutputContainer Foam::globalIndex::mpiGatherOp
 (
     const UList<Type>& sendData,
-    const label comm
+    const label comm,
+
+    const UPstream::commsTypes commsType,
+    const int tag
 )
 {
     OutputContainer allData;
-    mpiGatherOp(sendData, allData, comm);
+    mpiGatherOp(sendData, allData, comm, commsType, tag);
     return allData;
 }
 
@@ -541,13 +710,16 @@ template<class Type>
 void Foam::globalIndex::mpiGatherInplaceOp
 (
     List<Type>& fld,
-    const label comm
+    const label comm,
+
+    const UPstream::commsTypes commsType,
+    const int tag
 )
 {
     if (UPstream::parRun())
     {
         List<Type> allData;
-        mpiGatherOp(fld, allData, comm);
+        mpiGatherOp(fld, allData, comm, commsType, tag);
 
         if (UPstream::master(comm))
         {
@@ -568,7 +740,7 @@ void Foam::globalIndex::gatherOp
     const UList<Type>& sendData,
     List<Type>& allData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 )
 {
@@ -592,7 +764,7 @@ void Foam::globalIndex::gatherOp
     const IndirectListBase<Type, Addr>& sendData,
     List<Type>& allData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 )
 {
@@ -615,7 +787,7 @@ OutputContainer Foam::globalIndex::gatherOp
 (
     const UList<Type>& sendData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 )
 {
@@ -630,7 +802,7 @@ OutputContainer Foam::globalIndex::gatherOp
 (
     const IndirectListBase<Type, Addr>& sendData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 )
 {
@@ -645,7 +817,7 @@ void Foam::globalIndex::gatherInplaceOp
 (
     List<Type>& fld,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 )
 {
@@ -668,7 +840,7 @@ void Foam::globalIndex::scatter
     const UList<Type>& allFld,
     UList<Type>& fld,
     const int tag,
-    const Pstream::commsTypes preferredCommsType
+    const UPstream::commsTypes preferredCommsType
 )
 {
     // low-level: no parRun guard
@@ -685,10 +857,6 @@ void Foam::globalIndex::scatter
       : preferredCommsType
     );
 
-    // FUTURE:
-    // could decide which procs will receive data and use mpiScatter
-    // to distribute. Could then skip send/receive for those procs...
-
     const label startOfRequests = UPstream::nRequests();
 
     if (Pstream::myProcNo(comm) == procIDs[0])
@@ -757,7 +925,7 @@ void Foam::globalIndex::scatter
         }
     }
 
-    if (commsType == Pstream::commsTypes::nonBlocking)
+    if (commsType == UPstream::commsTypes::nonBlocking)
     {
         // Wait for all to finish
         UPstream::waitRequests(startOfRequests);
@@ -771,7 +939,7 @@ void Foam::globalIndex::scatter
     const UList<Type>& allData,
     UList<Type>& localData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 ) const
 {
@@ -802,7 +970,7 @@ OutputContainer Foam::globalIndex::scatter
 (
     const UList<Type>& allData,
     const int tag,
-    const Pstream::commsTypes commsType,
+    const UPstream::commsTypes commsType,
     const label comm
 ) const
 {
@@ -853,7 +1021,7 @@ void Foam::globalIndex::get
         );
 
         // Send local indices to individual processors as local index
-        PstreamBuffers sendBufs(Pstream::commsTypes::nonBlocking, tag, comm);
+        PstreamBuffers sendBufs(UPstream::commsTypes::nonBlocking, tag, comm);
 
         for (const auto proci : validBins)
         {
@@ -870,7 +1038,7 @@ void Foam::globalIndex::get
         sendBufs.finishedSends();
 
 
-        PstreamBuffers returnBufs(Pstream::commsTypes::nonBlocking, tag, comm);
+        PstreamBuffers returnBufs(UPstream::commsTypes::nonBlocking, tag, comm);
 
         for (const int proci : sendBufs.allProcs())
         {