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Mark Olesen
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Andrew Heather
Andrew Heather
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========= |
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========= |
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / O peration |
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\\ / O peration |
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\\ / A nd |
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\\ / A nd | Copyright (C) 2019 OpenCFD Ltd.
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\\/ M anipulation |
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\\/ M anipulation |
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-------------------------------------------------------------------------------
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-------------------------------------------------------------------------------
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| Copyright (C) 2011-2016 OpenFOAM Foundation
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| Copyright (C) 2011-2016 OpenFOAM Foundation
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@ -1,254 +0,0 @@
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/*---------------------------------------------------------------------------*\
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========= |
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / O peration |
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\\ / A nd | Copyright (C) 2004-2011 OpenCFD Ltd.
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\\/ M anipulation |
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-------------------------------------------------------------------------------
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| Copyright (C) 2011-2016 OpenFOAM Foundation
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-------------------------------------------------------------------------------
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License
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This file is part of OpenFOAM.
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OpenFOAM is free software: you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
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Application
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potentialFoam
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Group
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grpBasicSolvers
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Description
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Potential flow solver which solves for the velocity potential, to
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calculate the flux-field, from which the velocity field is obtained by
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reconstructing the flux.
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\heading Solver details
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The potential flow solution is typically employed to generate initial fields
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for full Navier-Stokes codes. The flow is evolved using the equation:
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\f[
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\laplacian \Phi = \div(\vec{U})
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\f]
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Where:
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\vartable
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\Phi | Velocity potential [m2/s]
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\vec{U} | Velocity [m/s]
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\endvartable
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The corresponding pressure field could be calculated from the divergence
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of the Euler equation:
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\f[
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\laplacian p + \div(\div(\vec{U}\otimes\vec{U})) = 0
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\f]
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but this generates excessive pressure variation in regions of large
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velocity gradient normal to the flow direction. A better option is to
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calculate the pressure field corresponding to velocity variation along the
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stream-lines:
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\f[
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\laplacian p + \div(\vec{F}\cdot\div(\vec{U}\otimes\vec{U})) = 0
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\f]
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where the flow direction tensor \f$\vec{F}\f$ is obtained from
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\f[
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\vec{F} = \hat{\vec{U}}\otimes\hat{\vec{U}}
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\f]
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\heading Required fields
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\plaintable
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U | Velocity [m/s]
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\endplaintable
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\heading Optional fields
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\plaintable
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p | Kinematic pressure [m2/s2]
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Phi | Velocity potential [m2/s]
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| Generated from p (if present) or U if not present
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\endplaintable
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\heading Options
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\plaintable
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-writep | write the Euler pressure
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-writePhi | Write the final velocity potential
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-initialiseUBCs | Update the velocity boundaries before solving for Phi
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\endplaintable
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\*---------------------------------------------------------------------------*/
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#include "fvCFD.H"
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#include "pisoControl.H"
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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int main(int argc, char *argv[])
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{
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argList::addNote
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(
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"Potential flow solver which solves for the velocity potential"
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);
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argList::addOption
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(
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"pName",
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"pName",
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"Name of the pressure field"
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);
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argList::addBoolOption
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(
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"initialiseUBCs",
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"Initialise U boundary conditions"
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);
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argList::addBoolOption
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(
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"writePhi",
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"Write the final velocity potential field"
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);
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argList::addBoolOption
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(
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"writep",
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"Calculate and write the Euler pressure field"
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);
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argList::addBoolOption
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(
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"withFunctionObjects",
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"Execute functionObjects"
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);
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#include "addCheckCaseOptions.H"
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#include "setRootCaseLists.H"
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#include "createTime.H"
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#include "createMesh.H"
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pisoControl potentialFlow(mesh, "potentialFlow");
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#include "createFields.H"
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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Info<< nl << "Calculating potential flow" << endl;
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// Since solver contains no time loop it would never execute
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// function objects so do it ourselves
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runTime.functionObjects().start();
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MRF.makeRelative(phi);
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adjustPhi(phi, U, p);
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// Non-orthogonal velocity potential corrector loop
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while (potentialFlow.correctNonOrthogonal())
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{
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fvScalarMatrix PhiEqn
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(
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fvm::laplacian(dimensionedScalar("1", dimless, 1), Phi)
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==
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fvc::div(phi)
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);
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PhiEqn.setReference(PhiRefCell, PhiRefValue);
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PhiEqn.solve();
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if (potentialFlow.finalNonOrthogonalIter())
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{
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phi -= PhiEqn.flux();
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}
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}
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MRF.makeAbsolute(phi);
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Info<< "Continuity error = "
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<< mag(fvc::div(phi))().weightedAverage(mesh.V()).value()
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<< endl;
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U = fvc::reconstruct(phi);
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U.correctBoundaryConditions();
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Info<< "Interpolated velocity error = "
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<< (sqrt(sum(sqr(fvc::flux(U) - phi)))/sum(mesh.magSf())).value()
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<< endl;
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// Write U and phi
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U.write();
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phi.write();
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// Optionally write Phi
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if (args.found("writePhi"))
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{
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Phi.write();
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}
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// Calculate the pressure field from the Euler equation
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if (args.found("writep"))
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{
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Info<< nl << "Calculating approximate pressure field" << endl;
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label pRefCell = 0;
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scalar pRefValue = 0.0;
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setRefCell
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(
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p,
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potentialFlow.dict(),
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pRefCell,
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pRefValue
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);
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// Calculate the flow-direction filter tensor
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volScalarField magSqrU(magSqr(U));
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volSymmTensorField F(sqr(U)/(magSqrU + SMALL*average(magSqrU)));
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// Calculate the divergence of the flow-direction filtered div(U*U)
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// Filtering with the flow-direction generates a more reasonable
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// pressure distribution in regions of high velocity gradient in the
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// direction of the flow
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volScalarField divDivUU
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(
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fvc::div
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(
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F & fvc::div(phi, U),
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"div(div(phi,U))"
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)
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);
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// Solve a Poisson equation for the approximate pressure
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while (potentialFlow.correctNonOrthogonal())
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{
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fvScalarMatrix pEqn
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(
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fvm::laplacian(p) + divDivUU
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);
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pEqn.setReference(pRefCell, pRefValue);
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pEqn.solve();
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}
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p.write();
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}
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runTime.functionObjects().end();
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runTime.printExecutionTime(Info);
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Info<< "End\n" << endl;
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return 0;
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}
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// ************************************************************************* //
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