diff --git a/tutorials/mesh/cvMesh/simpleShapes/Allclean b/tutorials/mesh/cvMesh/simpleShapes/Allclean
new file mode 100755
index 0000000000..5361756c0d
--- /dev/null
+++ b/tutorials/mesh/cvMesh/simpleShapes/Allclean
@@ -0,0 +1,18 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+# Source tutorial run functions
+. $WM_PROJECT_DIR/bin/tools/CleanFunctions
+
+rm -r constant/extendedFeatureEdgeMesh constant/internalDelaunayVertices > /dev/null 2>&1
+rm constant/triSurface/*.eMesh > /dev/null 2>&1
+rm constant/triSurface/*_clean* > /dev/null 2>&1
+rm -r constant/polyMesh > /dev/null 2>&1
+rm constant/targetCellSize > /dev/null 2>&1
+rm -r constant/tetDualMesh > /dev/null 2>&1
+
+rm domain coneAndSphere > /dev/null 2>&1
+
+cleanCase
+
+# ----------------------------------------------------------------- end-of-file
diff --git a/tutorials/mesh/cvMesh/simpleShapes/Allrun b/tutorials/mesh/cvMesh/simpleShapes/Allrun
index b348890484..f38a84a48b 100755
--- a/tutorials/mesh/cvMesh/simpleShapes/Allrun
+++ b/tutorials/mesh/cvMesh/simpleShapes/Allrun
@@ -4,13 +4,48 @@ cd ${0%/*} || exit 1    # run from this directory
 # Source tutorial run functions
 . $WM_PROJECT_DIR/bin/tools/RunFunctions
 
+# Remove any small triangles (edges < 1e-4, sliver with Q < 1e-6) from surface
+# (cvMesh will try to conform to every feature).
+runApplication surfaceClean \
+    constant/triSurface/coneAndSphere.obj \
+    1e-4 1e-6 \
+    constant/triSurface/coneAndSphere_clean.obj
+mv log.surfaceClean log.surfaceClean.coneAndSphere
+# Orient so point to be meshed is inside surface
+runApplication surfaceOrient \
+    constant/triSurface/coneAndSphere_clean.obj \
+    -inside '(0 -0.5 0)' \
+    constant/triSurface/coneAndSphere_clean_orient.obj
+mv log.surfaceOrient log.surfaceOrient.coneAndSphere
+
+# Same for outside
+runApplication surfaceClean \
+    constant/triSurface/domain.stl \
+    1e-4 1e-6 \
+    constant/triSurface/domain_clean.stl
+mv log.surfaceClean log.surfaceClean.domain
+runApplication surfaceOrient \
+    constant/triSurface/domain_clean.stl \
+    -inside '(0 -0.5 0)' \
+    constant/triSurface/domain_clean_orient.stl
+mv log.surfaceOrient log.surfaceOrient.domain
+
+runApplication surfaceFeatureExtract \
+    constant/triSurface/coneAndSphere_clean_orient.obj \
+    coneAndSphere -includedAngle 125
+mv log.surfaceFeatureExtract log.surfaceFeatureExtract.coneAndSphere_clean
+
+unset FOAM_SIGFPE
+runApplication surfaceFeatureExtract \
+    constant/triSurface/domain_clean_orient.stl \
+    domain -includedAngle 125
+mv log.surfaceFeatureExtract log.surfaceFeatureExtract.domain
+
 # Generate aligned points (in constant/internalDelaunayVertices) and a
 # mesh from that.
-runApplication surfaceFeatureExtract constant/triSurface/coneAndSphere.obj coneAndSphere -includedAngle 125
-runApplication surfaceFeatureExtract constant/triSurface/domain.stl domain -includedAngle 125
 runApplication cvMesh
 
 # Generate some sets for a bit of mesh inspection
-runApplication topoSet
+runApplication topoSet -constant -time 0:100
 
 # ----------------------------------------------------------------- end-of-file
diff --git a/tutorials/mesh/cvMesh/simpleShapes/system/cvMeshDict b/tutorials/mesh/cvMesh/simpleShapes/system/cvMeshDict
index c8055a4d34..db4183588b 100644
--- a/tutorials/mesh/cvMesh/simpleShapes/system/cvMeshDict
+++ b/tutorials/mesh/cvMesh/simpleShapes/system/cvMeshDict
@@ -403,6 +403,11 @@ meshQualityControls
     //  Set to 180 to disable.
     maxConcave 80;
 
+    //- Minimum pyramid volume. Is absolute volume of cell pyramid.
+    //  Set to a sensible fraction of the smallest cell volume expected.
+    //  Set to very negative number (e.g. -1E30) to disable.
+    minVol -1E30;
+
     //- Minimum quality of the tet formed by the
     //  variable base point minimum decomposition triangles and
     //  the cell centre (so not face-centre decomposition).