[ordinary]

Hello everyone,

I encounter incomprehensible Courant number errors and velocity magnitudes when I try to simulate 2D Couette flow.

U file:

/*--------------------------------*- C++ -*----------------------------------*\
| =========                 |                                                 |
| \\      /  F ield         | foam-extend: Open Source CFD                    |
|  \\    /   O peration     | Version:     4.0                                |
|   \\  /    A nd           | Web:         http://www.foam-extend.org         |
|    \\/     M anipulation  |                                                 |
\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       volVectorField;
    object      U;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

dimensions      [0 1 -1 0 0 0 0];

internalField   uniform (0 0 0);

boundaryField
{
    movingWall
    {
        type            fixedValue;
    value        uniform (1 0 0);
    }

    stationaryWall
    {
        type            fixedValue;
    value        uniform (0 0 0);
    }

    inlet
    {
        type            zeroGradient;
    }

    outlet
    {
        type            zeroGradient;
    }

    frontAndBack
    {
        type            empty;
    }
}

p file

/*--------------------------------*- C++ -*----------------------------------*\
| =========                 |                                                 |
| \\      /  F ield         | foam-extend: Open Source CFD                    |
|  \\    /   O peration     | Version:     4.0                                |
|   \\  /    A nd           | Web:         http://www.foam-extend.org         |
|    \\/     M anipulation  |                                                 |
\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       volScalarField;
    object      p;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

dimensions      [0 2 -2 0 0 0 0];

internalField   uniform 0;

boundaryField
{
    movingWall
    {
        type            zeroGradient;
    }

    stationaryWall
    {
        type            zeroGradient;
    }

    inlet
    {
        type            fixedValue;
    value        uniform 0;
    }

    outlet
    {
        type            fixedValue;
    value        uniform 0;
    }

    frontAndBack
    {
        type            empty;
    }
}

blockMeshDict file

/*--------------------------------*- C++ -*----------------------------------*\
| =========                 |                                                 |
| \\      /  F ield         | foam-extend: Open Source CFD                    |
|  \\    /   O peration     | Version:     4.0                                |
|   \\  /    A nd           | Web:         http://www.foam-extend.org         |
|    \\/     M anipulation  |                                                 |
\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       dictionary;
    object      blockMeshDict;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

convertToMeters 1;

vertices
(
    (0 0 0)
    (1 0 0)
    (1 0.25 0)
    (0 0.25 0)
    (0 0 0.1)
    (1 0 0.1)
    (1 0.25 0.1)
    (0 0.25 0.1)
);

blocks
(
    hex (0 1 2 3 4 5 6 7) (400 400 1) simpleGrading (1 1 1)
);

edges
(
);

boundary
(
    movingWall
    {
        type wall;
        faces
        (
            (3 7 6 2)
        );
    }
    inlet
    {
    type patch;
    faces
    (
        (0 4 7 3) 
    );
    }
    outlet
    {    
    type patch;
    faces
    (
         (2 6 5 1)
    );
    }
    stationaryWall
    {
        type wall;
        faces
        (       
            (1 5 4 0)
        );
    }
    frontAndBack
    {
        type empty;
        faces
        (
            (0 3 2 1)
            (4 5 6 7)
        );
    }
);

mergePatchPairs
(
);

controlDict file

/*--------------------------------*- C++ -*----------------------------------*\
| =========                 |                                                 |
| \\      /  F ield         | foam-extend: Open Source CFD                    |
|  \\    /   O peration     | Version:     4.0                                |
|   \\  /    A nd           | Web:         http://www.foam-extend.org         |
|    \\/     M anipulation  |                                                 |
\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       dictionary;
    object      controlDict;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

application icoFoam;

startFrom       startTime;

startTime       0;

stopAt          endTime;

endTime         3;

deltaT          0.001;

writeControl    runTime;

writeInterval   1;

purgeWrite      0;

writeFormat     ascii;

writePrecision  6;

writeCompression uncompressed;

timeFormat      general;

timePrecision   6;

runTimeModifiable yes;

Courant number = u*DeltaT/DeltaX must be smaller than 1. My maximum velocity is 1 m/s which is at the moving wall. My DeltaX is 1/400=0.0025 m. So my DeltaT must be smaller than 0.0025. Thus, I set DeltaT to 0.001. So, how could this case give me an error and absurd velocity magnitutes like these:

Time = 0.044

Courant Number mean: 0.336637 max: 1944.94 velocity magnitude: 2431.17
BiCGStab:  Solving for Ux, Initial residual = 0.972023, Final residual = 9.93918e-06, No Iterations 80
BiCGStab:  Solving for Uy, Initial residual = 0.945448, Final residual = 6.14037e-06, No Iterations 82
DICPCG:  Solving for p, Initial residual = 0.849381, Final residual = 9.71391e-07, No Iterations 521
time step continuity errors : sum local = 6.37445e-07, global = 9.354e-09, cumulative = 1.45292e-08
DICPCG:  Solving for p, Initial residual = 0.920578, Final residual = 9.38132e-07, No Iterations 543
time step continuity errors : sum local = 9.62929e-06, global = 9.33402e-08, cumulative = 1.07869e-07
ExecutionTime = 133.78 s  ClockTime = 134 s

Time = 0.045

Courant Number mean: 168.34 max: 1.37785e+06 velocity magnitude: 3.28688e+06
BiCGStab:  Solving for Ux, Initial residual = 0.999994, Final residual = 3.24586e+18, No Iterations 1000
BiCGStab:  Solving for Uy, Initial residual = 0.999935, Final residual = 3.48908e+16, No Iterations 1000
DICPCG:  Solving for p, Initial residual = 1, Final residual = 2.42732e-08, No Iterations 3
time step continuity errors : sum local = 1.36528e+17, global = 1.55905e+10, cumulative = 1.55905e+10
DICPCG:  Solving for p, Initial residual = 0.985689, Final residual = 1.29964e-08, No Iterations 3
time step continuity errors : sum local = 1.3758e+17, global = -3.67509e+13, cumulative = -3.67353e+13
ExecutionTime = 148.01 s  ClockTime = 148 s

Time = 0.046

Courant Number mean: 6.45818e+24 max: 6.04572e+27 velocity magnitude: 1.51143e+28
Floating point exception (core dumped)

Any idea is appreciated.

Sincerely,

ordinary