TUT: add examples of general spheroid (#1901)

- for blockMesh meshing and as snappyHexMesh geometry
  (adjust the igloo aspect ratio)

tutorials/heatTransfer/buoyantBoussinesqSimpleFoam/iglooWithFridges/system/snappyHexMeshDict

@@ -32,7 +32,7 @@ geometry
     {
         type    sphere;
         origin  (3 3 0);
-        radius  4;
+        radius  (3.5 3.5 4);
     }
 
     box1

tutorials/mesh/blockMesh/sphere7/system/blockMeshDict

@@ -42,8 +42,8 @@ vo   #eval{ sqrt($outerRadius/3) };
 mvo  #eval{ -$vo };
 
 // Inner box sizes - % of overall dimension
-vi   #eval{ $innerRatio*$vo };
+vi   #eval{ $vo * $innerRatio };
-mvi  #eval{ $innerRatio*$mvo };
+mvi  #eval{ -$vi };
 
 vertices
 (

tutorials/mesh/blockMesh/sphere7ProjectedEdges/system/blockMeshDict

@@ -31,16 +31,15 @@ geometry
 {
     sphere
     {
-        type   sphere;
+        type    sphere;
-        origin (0 0 0);
+        origin  (0 0 0);
-        radius $outerRadius;
+        radius  $outerRadius;
     }
 
     innerSphere
     {
-        type   sphere;
+        $sphere
-        origin (0 0 0);
+        radius  #eval{ $outerRadius * $innerRatio };
-        radius #eval{ $innerRatio * $outerRadius };
     }
 }
 
@@ -50,8 +49,8 @@ vo   #eval{ sqrt($outerRadius/3) };
 mvo  #eval{ -$vo };
 
 // Inner box sizes - % of overall dimension
-vi   #eval{ $innerRatio*$vo };
+vi   #eval{ $vo * $innerRatio };
-mvi  #eval{ $innerRatio*$mvo };
+mvi  #eval{ -$mvo };
 
 vertices
 (

tutorials/mesh/blockMesh/spheroid7Projected/Allrun

@@ -0,0 +1,8 @@
+#!/bin/sh
+cd "${0%/*}" || exit                                # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions        # Tutorial run functions
+#------------------------------------------------------------------------------
+
+runApplication blockMesh
+
+#------------------------------------------------------------------------------

tutorials/mesh/blockMesh/spheroid7Projected/system/blockMeshDict

@@ -0,0 +1,166 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2006                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+scale   1;
+verbose no;
+
+// Geometric parameters
+rxo 2;
+ryo 3;
+rzo 4;
+
+// Geometric parameters
+outerRadius 1;
+innerRatio  0.75;
+
+// Divisions in x/y/z and radial directions. Can be unequal.
+nx   30;
+ny   24;
+nz   20;
+nr   6;
+
+geometry
+{
+    sphere
+    {
+        type    sphere;
+        origin  (0 0 0);
+        radius  ($rxo $ryo $rzo);
+    }
+
+    innerSphere
+    {
+        $sphere
+        radius
+        (
+            #eval{ $rxo * $innerRatio }
+            #eval{ $ryo * $innerRatio }
+            #eval{ $rzo * $innerRatio }
+        );
+    }
+}
+
+
+// Outer box sizes (approximate)
+vxo #eval{ sqrt(1.0/3.0) * $rxo };  mvxo #eval{ -$vxo };
+vyo #eval{ sqrt(1.0/3.0) * $ryo };  mvyo #eval{ -$vyo };
+vzo #eval{ sqrt(1.0/3.0) * $rzo };  mvzo #eval{ -$vzo };
+
+// Inner box sizes - % of overall dimension
+vxi #eval{ $vxo * $innerRatio };  mvxi #eval{ -$vxi };
+vyi #eval{ $vyo * $innerRatio };  mvyi #eval{ -$vyi };
+vzi #eval{ $vzo * $innerRatio };  mvzi #eval{ -$vzi };
+
+vertices
+(
+    // Inner block points
+    project ($mvxi $mvyi $mvzi) (innerSphere)
+    project ( $vxi $mvyi $mvzi) (innerSphere)
+    project ( $vxi  $vyi $mvzi) (innerSphere)
+    project ($mvxi  $vyi $mvzi) (innerSphere)
+    project ($mvxi $mvyi  $vzi) (innerSphere)
+    project ( $vxi $mvyi  $vzi) (innerSphere)
+    project ( $vxi  $vyi  $vzi) (innerSphere)
+    project ($mvxi  $vyi  $vzi) (innerSphere)
+
+    // Outer block points
+    project ($mvxo $mvyo $mvzo) (sphere)
+    project ( $vxo $mvyo $mvzo) (sphere)
+    project ( $vxo  $vyo $mvzo) (sphere)
+    project ($mvxo  $vyo $mvzo) (sphere)
+    project ($mvxo $mvyo  $vzo) (sphere)
+    project ( $vxo $mvyo  $vzo) (sphere)
+    project ( $vxo  $vyo  $vzo) (sphere)
+    project ($mvxo  $vyo  $vzo) (sphere)
+);
+
+blocks
+(
+    hex (0 1 2 3 4 5 6 7) ($nx $ny $nz) grading (1 1 1)  // Inner block
+
+    // Outer blocks
+    hex ( 8  0  3 11 12  4  7 15) ($nr $ny $nz) grading (1 1 1)  // x-min
+    hex ( 1  9 10  2  5 13 14  6) ($nr $ny $nz) grading (1 1 1)  // x-max
+    hex ( 8  9  1  0 12 13  5  4) ($nx $nr $nz) grading (1 1 1)  // y-min
+    hex ( 3  2 10 11  7  6 14 15) ($nx $nr $nz) grading (1 1 1)  // y-max
+    hex ( 8  9 10 11  0  1  2  3) ($nx $ny $nr) grading (1 1 1)  // z-min
+    hex ( 4  5  6  7 12 13 14 15) ($nx $ny $nr) grading (1 1 1)  // z-max
+);
+
+edges
+(
+    // Outer blocks
+    project  8  9 (sphere)
+    project 10 11 (sphere)
+    project 14 15 (sphere)
+    project 12 13 (sphere)
+
+    project  8 11 (sphere)
+    project  9 10 (sphere)
+    project 13 14 (sphere)
+    project 12 15 (sphere)
+
+    project  8 12 (sphere)
+    project  9 13 (sphere)
+    project 10 14 (sphere)
+    project 11 15 (sphere)
+
+    // Inner block
+    project 0 1 (innerSphere)
+    project 2 3 (innerSphere)
+    project 6 7 (innerSphere)
+    project 4 5 (innerSphere)
+
+    project 0 3 (innerSphere)
+    project 1 2 (innerSphere)
+    project 5 6 (innerSphere)
+    project 4 7 (innerSphere)
+
+    project 0 4 (innerSphere)
+    project 1 5 (innerSphere)
+    project 2 6 (innerSphere)
+    project 3 7 (innerSphere)
+);
+
+faces
+(
+    // Outer blocks
+    project ( 8 12 15 11) sphere  // x-min
+    project ( 9 10 14 13) sphere  // x-max
+    project ( 8  9 13 12) sphere  // y-min
+    project (11 15 14 10) sphere  // y-max
+    project ( 8 11 10  9) sphere  // z-min
+    project (12 13 14 15) sphere  // z-max
+);
+
+boundary
+(
+    walls
+    {
+        type wall;
+        faces
+        (
+            ( 8 12 15 11)  // x-min
+            ( 9 10 14 13)  // x-max
+            ( 8  9 13 12)  // y-min
+            (11 15 14 10)  // y-max
+            ( 8 11 10  9)  // z-min
+            (12 13 14 15)  // z-max
+        );
+    }
+);
+
+// ************************************************************************* //

tutorials/mesh/blockMesh/spheroid7Projected/system/controlDict

@@ -0,0 +1,49 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2006                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     blockMesh;
+
+startFrom       startTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         0;
+
+deltaT          0;
+
+writeControl    timeStep;
+
+writeInterval   1;
+
+purgeWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+
+// ************************************************************************* //

tutorials/mesh/blockMesh/spheroid7Projected/system/fvSchemes

@@ -0,0 +1,37 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2006                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+ddtSchemes
+{}
+
+gradSchemes
+{}
+
+divSchemes
+{}
+
+laplacianSchemes
+{}
+
+interpolationSchemes
+{}
+
+snGradSchemes
+{}
+
+
+// ************************************************************************* //

tutorials/mesh/blockMesh/spheroid7Projected/system/fvSolution

@@ -0,0 +1,18 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2006                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+// ************************************************************************* //

tutorials/mesh/blockMesh/spheroidProjected/Allrun

@@ -0,0 +1,8 @@
+#!/bin/sh
+cd "${0%/*}" || exit                                # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions        # Tutorial run functions
+#------------------------------------------------------------------------------
+
+runApplication blockMesh
+
+#------------------------------------------------------------------------------

tutorials/mesh/blockMesh/spheroidProjected/system/blockMeshDict

@@ -0,0 +1,108 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2006                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+scale   1;
+
+// Geometric parameters
+rxo 2;
+ryo 3;
+rzo 4;
+
+// Divisions in x/y/z directions. Can be unequal.
+nx   30;
+ny   24;
+nz   20;
+
+geometry
+{
+    sphere
+    {
+        type    sphere;
+        origin  (0 0 0);
+        radius  ($rxo $ryo $rzo);
+    }
+}
+
+// Box sizes
+vxo #eval{sqrt(1.0/3.0) * $rxo};  mvxo #eval{-$vxo};
+vyo #eval{sqrt(1.0/3.0) * $ryo};  mvyo #eval{-$vyo};
+vzo #eval{sqrt(1.0/3.0) * $rzo};  mvzo #eval{-$vzo};
+
+vertices
+(
+    // Outer block points
+    project ($mvxo $mvyo $mvzo) (sphere)
+    project ( $vxo $mvyo $mvzo) (sphere)
+    project ( $vxo  $vyo $mvzo) (sphere)
+    project ($mvxo  $vyo $mvzo) (sphere)
+    project ($mvxo $mvyo  $vzo) (sphere)
+    project ( $vxo $mvyo  $vzo) (sphere)
+    project ( $vxo  $vyo  $vzo) (sphere)
+    project ($mvxo  $vyo  $vzo) (sphere)
+);
+
+blocks
+(
+    hex (0 1 2 3 4 5 6 7) ($nx $ny $nz) grading (1 1 1)
+);
+
+edges
+(
+    // Outer edges
+    project 0 1 (sphere)
+    project 2 3 (sphere)
+    project 6 7 (sphere)
+    project 4 5 (sphere)
+
+    project 0 3 (sphere)
+    project 1 2 (sphere)
+    project 5 6 (sphere)
+    project 4 7 (sphere)
+
+    project 0 4 (sphere)
+    project 1 5 (sphere)
+    project 2 6 (sphere)
+    project 3 7 (sphere)
+);
+
+faces
+(
+    project (0 4 7 3) sphere  // x-min
+    project (1 2 6 5) sphere  // x-max
+    project (0 1 5 4) sphere  // y-min
+    project (3 7 6 2) sphere  // y-max
+    project (0 3 2 1) sphere  // z-min
+    project (4 5 6 7) sphere  // z-max
+);
+
+boundary
+(
+    walls
+    {
+        type wall;
+        faces
+        (
+            (0 4 7 3)  // x-min
+            (1 2 6 5)  // x-max
+            (0 1 5 4)  // y-min
+            (3 7 6 2)  // y-max
+            (0 3 2 1)  // z-min
+            (4 5 6 7)  // z-max
+        );
+    }
+);
+
+// ************************************************************************* //

tutorials/mesh/blockMesh/spheroidProjected/system/controlDict

@@ -0,0 +1,49 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2006                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     blockMesh;
+
+startFrom       startTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         0;
+
+deltaT          0;
+
+writeControl    timeStep;
+
+writeInterval   1;
+
+purgeWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+
+// ************************************************************************* //

tutorials/mesh/blockMesh/spheroidProjected/system/fvSchemes

@@ -0,0 +1,37 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2006                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+ddtSchemes
+{}
+
+gradSchemes
+{}
+
+divSchemes
+{}
+
+laplacianSchemes
+{}
+
+interpolationSchemes
+{}
+
+snGradSchemes
+{}
+
+
+// ************************************************************************* //

tutorials/mesh/blockMesh/spheroidProjected/system/fvSolution

@@ -0,0 +1,18 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2006                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+// ************************************************************************* //

tutorials/mesh/snappyHexMesh/iglooWithFridgesDirectionalRefinement/system/snappyHexMeshDict

@@ -32,7 +32,7 @@ geometry
     {
         type   sphere;
         origin (3 3 0);
-        radius 4;
+        radius (3.5 3.5 4);
     }
 
     box1
@@ -51,7 +51,7 @@ geometry
         seal
         {
             surface box1;
-            scale (1.0 1.0 2.1);
+            scale   (1.0 1.0 2.1);
 
             // Old syntax
             transform