TUT: Added new decay of isotropic turbulence case based on CBC data

Reference:
Comte-Bellot, G., and Corrsin, S., "Simple Eulerian Time Correlation of
Full- and Narrow-Band Velocity Signals in Grid-Generated, 'Isotropic'
Turbulence," Journal of Fluid Mechanics, Vol. 48, No. 2, 1971,
pp. 273–337.

applications/utilities/preProcessing/createBoxTurb/createFields.H

@@ -16,7 +16,7 @@ const vector L(dict.get<vector>("L"));
 const Vector<label> N(dict.get<Vector<label>>("N"));
 
 // Wave number vs energy profile
-autoPtr<Function1<scalar>> Ek(Function1<scalar>::New("E", dict));
+autoPtr<Function1<scalar>> Ek(Function1<scalar>::New("Ek", dict));
 
 // Number of modes
 const label nModes = dict.get<label>("nModes");

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/0.orig/nut

@@ -0,0 +1,31 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  plus                                  |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object      nut;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 2 -1 0 0 0 0];
+
+internalField   uniform 0;
+
+boundaryField
+{
+    ".*"
+    {
+        type        cyclic;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/0.orig/p

@@ -0,0 +1,31 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  plus                                  |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 2 -2 0 0 0 0];
+
+internalField   uniform 0;
+
+boundaryField
+{
+    ".*"
+    {
+        type        cyclic;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/Allclean

@@ -0,0 +1,5 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+. $WM_PROJECT_DIR/bin/tools/CleanFunctions  # Tutorial clean functions
+
+cleanCase0

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/Allrun

@@ -0,0 +1,13 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+. $WM_PROJECT_DIR/bin/tools/RunFunctions  # Tutorial run functions
+
+restore0Dir
+
+runApplication -s createBlockMesh createBoxTurb -createBlockMesh
+
+runApplication decomposePar
+
+runParallel createBoxTurb
+
+runParallel pimpleFoam

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/README

@@ -0,0 +1,16 @@
+Decay of homogenious incompressible isotropic turbulence
+
+This case is based on the set-up of Comte-Bellot and S. Corrsin [1]
+
+The mesh comprises a block-structured cube divided into 64x64x64 cells, with
+a box length of 9*pi cm.
+
+Turbulence is initialised using the target energy spectrum supplied in [1] (see
+table 3).
+
+For more information, see:
+
+    https://www.openfoam.com/documentation/cpp-guide/html/verification-validation-turbulent-decay-homogeneous-isotropic-turbulence.html
+
+[1] G. Comte-Bellot and S. Corrsin, "The use of a contraction to improve the 
+    isotropy of grid-generated turbulence," J. Fluid Mech. 25, 657 (1966).

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/constant/createBoxTurbDict

@@ -0,0 +1,54 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v1806                                 |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      createBoxTurbDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+N           (64 64 64);
+//N           (128 128 128);
+//N           (256 256 256);
+
+// Suggested box size of 9*2*pi [cm]
+L           (0.56548667765 0.56548667765 0.56548667765);
+
+nModes      5000;
+
+// Energy as a function of wave number
+// Here using Comte-Bellot and Corrsin data at t.U_0/M = 42 (see Ref. table 3)
+Ek          table
+(
+    (15 0)
+    (20 0.000129)
+    (25 0.00023)
+    (30 0.000322)
+    (40 0.000435)
+    (50 0.000457)
+    (70 0.00038)
+    (100 0.00027)
+    (150 0.000168)
+    (200 0.00012)
+    (250 8.9e-05)
+    (300 7.03e-05)
+    (400 4.7e-05)
+    (600 2.47e-05)
+    (800 1.26e-05)
+    (1000 7.42e-06)
+    (1250 3.96e-06)
+    (1500 2.33e-06)
+    (1750 1.34e-06)
+    (2000 8e-07)
+);
+
+
+// ************************************************************************* // 

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/constant/include/turbulenceModels

@@ -0,0 +1,38 @@
+WALE
+{
+    delta           cubeRootVol;
+
+    cubeRootVolCoeffs
+    {
+        deltaCoeff      1;
+    }
+}
+
+kEqn
+{
+    delta           cubeRootVol;
+    kEqnCoeffs
+    {
+        Ck                  0.094;
+        Ce                  1.048;
+    }
+}
+
+dynamicKEqn
+{
+    delta           cubeRootVol;
+    dynamicKEqnCoeffs
+    {
+        filter          simple;
+    }
+}
+
+Smagorinsky
+{
+    delta           cubeRootVol;
+    SmagorinskyCoeffs
+    {
+        Ck                  0.094;
+        Ce                  1.048;
+    }
+}

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/constant/transportProperties

@@ -0,0 +1,22 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v1806                                 |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      transportProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+transportModel  Newtonian;
+
+nu              1e-05;
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/constant/turbulenceProperties

@@ -0,0 +1,36 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v1806                                 |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#include "include/turbulenceModels"
+
+simulationType LES;
+
+
+LES
+{
+    turbulence      on;
+
+    printCoeffs     on;
+
+    LESModel       kEqn;
+
+    ${:$LESModel}
+}
+
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/system/blockMeshDict

@@ -0,0 +1,115 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v1806                                 |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+scale   1;
+
+vertices
+(
+    (0 0 0)
+    (4 0 0)
+    (0 1 0)
+    (4 1 0)
+    (0 2 0)
+    (4 2 0)
+    (0 0 2)
+    (4 0 2)
+    (0 1 2)
+    (4 1 2)
+    (0 2 2)
+    (4 2 2)
+);
+
+blocks
+(
+    hex (0 1 3 2 6 7 9 8) (40 25 30) simpleGrading (1 10.7028 1)
+    hex (2 3 5 4 8 9 11 10) (40 25 30) simpleGrading (1 0.0934 1)
+);
+
+edges
+(
+);
+
+boundary
+(
+    bottomWall
+    {
+        type            wall;
+        faces           ((0 1 7 6));
+    }
+    topWall
+    {
+        type            wall;
+        faces           ((4 10 11 5));
+    }
+
+    sides1_half0
+    {
+        type            cyclic;
+        neighbourPatch  sides1_half1;
+        faces           ((0 2 3 1));
+    }
+    sides1_half1
+    {
+        type            cyclic;
+        neighbourPatch  sides1_half0;
+        faces           ((6 7 9 8));
+    }
+
+    sides2_half0
+    {
+        type            cyclic;
+        neighbourPatch  sides2_half1;
+        faces           ((2 4 5 3));
+    }
+    sides2_half1
+    {
+        type            cyclic;
+        neighbourPatch  sides2_half0;
+        faces           ((8 9 11 10));
+    }
+
+    inout1_half0
+    {
+        type            cyclic;
+        neighbourPatch  inout1_half1;
+        faces           ((1 3 9 7));
+    }
+    inout1_half1
+    {
+        type            cyclic;
+        neighbourPatch  inout1_half0;
+        faces           ((0 6 8 2));
+    }
+
+    inout2_half0
+    {
+        type            cyclic;
+        neighbourPatch  inout2_half1;
+        faces           ((3 5 11 9));
+    }
+    inout2_half1
+    {
+        type            cyclic;
+        neighbourPatch  inout2_half0;
+        faces           ((2 8 10 4));
+    }
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/system/controlDict

@@ -0,0 +1,60 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v1806                                 |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     pimpleFoam;
+
+startFrom       startTime;
+
+startTime       0;
+//startTime       0.28;
+//startTime       0.66;
+
+stopAt          endTime;
+
+endTime         1;
+
+deltaT          0.001;
+
+writeControl    timeStep;
+
+writeInterval   10;
+
+purgeWrite      0;
+
+writeFormat     binary;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+functions
+{
+    energySpectrum1
+    {
+        type            energySpectrum;
+        libs            ("librandomProcessesFunctionObjects.so");
+        writeControl    writeTime;
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/system/decomposeParDict

@@ -0,0 +1,28 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v1806                                 |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    note        "mesh decomposition control dictionary";
+    object      decomposeParDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+numberOfSubdomains  8;
+
+method          simple;
+
+simpleCoeffs
+{
+    n           (2 2 2);
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/system/fvSchemes

@@ -0,0 +1,61 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v1806                                 |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+ddtSchemes
+{
+    default         backward;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default         none;
+    div(phi,U)      Gauss linear;
+    div(phi,k)      Gauss limitedLinear 1;
+    div(phi,B)      Gauss limitedLinear 1;
+    div(B)          Gauss linear;
+    div(U)          Gauss linear;
+    div(phi,nuTilda) Gauss limitedLinear 1;
+    div((nuEff*dev2(T(grad(U))))) Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+wallDist
+{
+    method meshWave;
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/decayIsoTurb/system/fvSolution

@@ -0,0 +1,63 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v1806                                 |
+|   \\  /    A nd           | Web:      www.OpenFOAM.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    p
+    {
+        solver          GAMG;
+        tolerance       0;
+        relTol          0.1;
+        smoother        GaussSeidel;
+    }
+
+    pFinal
+    {
+        $p;
+        smoother        DICGaussSeidel;
+        tolerance       1e-06;
+        relTol          0;
+    }
+
+    "(U|k|nuTilda)"
+    {
+        solver          smoothSolver;
+        smoother        symGaussSeidel;
+        tolerance       1e-05;
+        relTol          0.1;
+        minIter         1;
+    }
+
+    "(U|k|nuTilda)Final"
+    {
+        $U;
+        tolerance       1e-05;
+        relTol          0;
+    }
+}
+
+PIMPLE
+{
+    nOuterCorrectors 1;
+    nCorrectors     2;
+    nNonOrthogonalCorrectors 0;
+    pRefCell        0;
+    pRefValue       0;
+}
+
+
+// ************************************************************************* //