[Aydar Mukhametov]

Trying to calculate the velocity profile on the axis of the pipeline. Does not match analytical calculation.

long pipe section, y+ = 1, simpleFoam solver.

Please tell me how to set the initial settings.

/*--------------------------------*- C++ -*----------------------------------*\
| =========                 |                                                 |
| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
|  \\    /   O peration     | Version:  v2106                                 |
|   \\  /    A nd           | Website:  www.openfoam.com                      |
|    \\/     M anipulation  |                                                 |
\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       dictionary;
    object      fvSchemes;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

ddtSchemes
{
    default         steadyState;
}

gradSchemes
{
    default         Gauss linear;
}

divSchemes
{
    default         none;

    div(phi,U)      bounded Gauss upwind;
	div(phi,p)      bounded Gauss upwind;
    turbulence      bounded Gauss upwind;
    div(phi,k)      $turbulence;
    div(phi,omega) $turbulence;

    div((nuEff*dev2(T(grad(U))))) Gauss linear;
}

laplacianSchemes
{
    default         Gauss linear corrected;
}

interpolationSchemes
{
    default         linear;
}

snGradSchemes
{
    default         corrected;
}

wallDist
{
	method meshWave;
}

// ************************************************************************* //

/*--------------------------------*- C++ -*----------------------------------*\
| =========                 |                                                 |
| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
|  \\    /   O peration     | Version:  v2106                                 |
|   \\  /    A nd           | Website:  www.openfoam.com                      |
|    \\/     M anipulation  |                                                 |
\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       dictionary;
    object      fvSolution;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

solvers
{
    p
    {
        solver          GAMG;
        tolerance       1e-06;
        relTol          0.1;
        smoother        GaussSeidel;
        nPreSweeps      0;
        nPostSweeps     2;
        cacheAgglomeration on;
        agglomerator    faceAreaPair;
        nCellsInCoarsestLevel 10;
        mergeLevels     1;
    }

    "(U|k|omega|R|nuTilda)"
    {
        solver          smoothSolver;
        smoother        symGaussSeidel;
        tolerance       1e-05;
        relTol          0.1;
    }
}

SIMPLE
{
    nNonOrthogonalCorrectors 0;

   
}

relaxationFactors
{
    fields
    {
        p               0.3;
    }
    equations
    {
        U               0.7;
        k               0.7;
        omega         0.7;
    }
}


// ************************************************************************* //

[SHUBHAM9595]

Hello Aydar,

To begin with, you should switch to more accurate div scheme, something like

  div(phi,U)      bounded Gauss linearUpwind grad(U);

For the gradient calculations, you can switch to leastSquares instead of Gauss linear.

Do a checkMesh and see the max non - orthogonality, because now its bit contrdictory, as in fvSolutions you dont have any nonOrthoCorrectors but in fvSchemes you are using "corrector" for snGrad.

P.S. I did grep in tutorials and found that, you will never need div(phi, p), unless either you are solving for Compressible multiphase flows or have modified the solver to obtain something else.