OpenFOAM-dev / data /src /finiteVolume /interpolation /surfaceInterpolation /schemes /FitData /FitData.C
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| /*---------------------------------------------------------------------------*\ | |
| ========= | | |
| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | |
| \\ / O peration | Website: https://openfoam.org | |
| \\ / A nd | Copyright (C) 2011-2023 OpenFOAM Foundation | |
| \\/ M anipulation | | |
| ------------------------------------------------------------------------------- | |
| License | |
| This file is part of OpenFOAM. | |
| OpenFOAM is free software: you can redistribute it and/or modify it | |
| under the terms of the GNU General Public License as published by | |
| the Free Software Foundation, either version 3 of the License, or | |
| (at your option) any later version. | |
| OpenFOAM is distributed in the hope that it will be useful, but WITHOUT | |
| ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| for more details. | |
| You should have received a copy of the GNU General Public License | |
| along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>. | |
| \*---------------------------------------------------------------------------*/ | |
| // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * // | |
| template<class Form, class ExtendedStencil, class Polynomial> | |
| Foam::FitData<Form, ExtendedStencil, Polynomial>::FitData | |
| ( | |
| const fvMesh& mesh, | |
| const ExtendedStencil& stencil, | |
| const bool linearCorrection, | |
| const scalar linearLimitFactor, | |
| const scalar centralWeight | |
| ) | |
| : | |
| DemandDrivenMeshObject<fvMesh, MoveableMeshObject, Form>(mesh), | |
| stencil_(stencil), | |
| linearCorrection_(linearCorrection), | |
| linearLimitFactor_(linearLimitFactor), | |
| centralWeight_(centralWeight), | |
| dim_(2), | |
| dim_(mesh.nGeometricD()), | |
| minSize_(Polynomial::nTerms(dim_)) | |
| { | |
| // Check input | |
| if (linearLimitFactor <= small || linearLimitFactor > 3) | |
| { | |
| FatalErrorInFunction | |
| << "linearLimitFactor requested = " << linearLimitFactor | |
| << " should be between zero and 3" | |
| << exit(FatalError); | |
| } | |
| } | |
| // * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * // | |
| template<class FitDataType, class ExtendedStencil, class Polynomial> | |
| void Foam::FitData<FitDataType, ExtendedStencil, Polynomial>::findFaceDirs | |
| ( | |
| vector& idir, // value changed in return | |
| vector& jdir, // value changed in return | |
| vector& kdir, // value changed in return | |
| const label facei | |
| ) | |
| { | |
| const fvMesh& mesh = this->mesh(); | |
| idir = mesh.faceAreas()[facei]; | |
| idir /= mag(idir); | |
| if (mesh.nGeometricD() <= 2) // find the normal direction | |
| { | |
| if (mesh.geometricD()[0] == -1) | |
| { | |
| kdir = vector(1, 0, 0); | |
| } | |
| else if (mesh.geometricD()[1] == -1) | |
| { | |
| kdir = vector(0, 1, 0); | |
| } | |
| else | |
| { | |
| kdir = vector(0, 0, 1); | |
| } | |
| } | |
| else // 3D so find a direction in the plane of the face | |
| { | |
| const face& f = mesh.faces()[facei]; | |
| kdir = mesh.points()[f[0]] - mesh.faceCentres()[facei]; | |
| } | |
| // Spherical geometry so kdir is the radial direction | |
| kdir = mesh.faceCentres()[facei]; | |
| if (mesh.nGeometricD() == 3) | |
| { | |
| // Remove the idir component from kdir and normalise | |
| kdir -= (idir & kdir)*idir; | |
| scalar magk = mag(kdir); | |
| if (magk < small) | |
| { | |
| FatalErrorInFunction | |
| << exit(FatalError); | |
| } | |
| else | |
| { | |
| kdir /= magk; | |
| } | |
| } | |
| jdir = kdir ^ idir; | |
| } | |
| template<class FitDataType, class ExtendedStencil, class Polynomial> | |
| void Foam::FitData<FitDataType, ExtendedStencil, Polynomial>::calcFit | |
| ( | |
| scalarList& coeffsi, | |
| const List<point>& C, | |
| const scalar wLin, | |
| const label facei | |
| ) | |
| { | |
| vector idir(1,0,0); | |
| vector jdir(0,1,0); | |
| vector kdir(0,0,1); | |
| findFaceDirs(idir, jdir, kdir, facei); | |
| // Setup the point weights | |
| scalarList wts(C.size(), scalar(1)); | |
| wts[0] = centralWeight_; | |
| if (linearCorrection_) | |
| { | |
| wts[1] = centralWeight_; | |
| } | |
| // Reference point | |
| point p0 = this->mesh().faceCentres()[facei]; | |
| // Info<< "Face " << facei << " at " << p0 << " stencil points at:\n" | |
| // << C - p0 << endl; | |
| // p0 -> p vector in the face-local coordinate system | |
| vector d; | |
| // Local coordinate scaling | |
| scalar scale = 1; | |
| // Matrix of the polynomial components | |
| scalarRectangularMatrix B(C.size(), minSize_, scalar(0)); | |
| forAll(C, ip) | |
| { | |
| const point& p = C[ip]; | |
| d.x() = (p - p0)&idir; | |
| d.y() = (p - p0)&jdir; | |
| d.z() = (p - p0)&kdir; | |
| d.z() = mag(p) - mag(p0); | |
| if (ip == 0) | |
| { | |
| scale = cmptMax(cmptMag((d))); | |
| } | |
| // Scale the radius vector | |
| d /= scale; | |
| Polynomial::addCoeffs | |
| ( | |
| B[ip], | |
| d, | |
| wts[ip], | |
| dim_ | |
| ); | |
| } | |
| // Additional weighting for constant and linear terms | |
| for (label i = 0; i < B.m(); i++) | |
| { | |
| B(i, 0) *= wts[0]; | |
| B(i, 1) *= wts[0]; | |
| } | |
| // Set the fit | |
| label stencilSize = C.size(); | |
| coeffsi.setSize(stencilSize); | |
| bool goodFit = false; | |
| for (int iIt = 0; iIt < 8 && !goodFit; iIt++) | |
| { | |
| SVD svd(B, small); | |
| scalarRectangularMatrix invB(svd.VSinvUt()); | |
| scalar maxCoeff = 0; | |
| label maxCoeffi = 0; | |
| for (label i=0; i<stencilSize; i++) | |
| { | |
| coeffsi[i] = wts[0]*wts[i]*invB(0, i); | |
| if (mag(coeffsi[i]) > maxCoeff) | |
| { | |
| maxCoeff = mag(coeffsi[i]); | |
| maxCoeffi = i; | |
| } | |
| } | |
| if (linearCorrection_) | |
| { | |
| goodFit = | |
| (mag(coeffsi[0] - wLin) < linearLimitFactor_*wLin) | |
| && (mag(coeffsi[1] - (1 - wLin)) < linearLimitFactor_*(1 - wLin)) | |
| && maxCoeffi <= 1; | |
| } | |
| else | |
| { | |
| // Upwind: weight on face is 1. | |
| goodFit = | |
| (mag(coeffsi[0] - 1.0) < linearLimitFactor_*1.0) | |
| && maxCoeffi <= 1; | |
| } | |
| // if (goodFit && iIt > 0) | |
| // { | |
| // Info<< "FitData<Polynomial>::calcFit" | |
| // << "(const List<point>& C, const label facei" << nl | |
| // << "Can now fit face " << facei << " iteration " << iIt | |
| // << " with sum of weights " << sum(coeffsi) << nl | |
| // << " Weights " << coeffsi << nl | |
| // << " Linear weights " << wLin << " " << 1 - wLin << nl | |
| // << " sing vals " << svd.S() << endl; | |
| // } | |
| if (!goodFit) // (not good fit so increase weight in the centre and | |
| // weight for constant and linear terms) | |
| { | |
| // if (iIt == 7) | |
| // { | |
| // WarningInFunction | |
| // << "Cannot fit face " << facei << " iteration " << iIt | |
| // << " with sum of weights " << sum(coeffsi) << nl | |
| // << " Weights " << coeffsi << nl | |
| // << " Linear weights " << wLin << " " << 1 - wLin << nl | |
| // << " sing vals " << svd.S() << endl; | |
| // } | |
| wts[0] *= 10; | |
| if (linearCorrection_) | |
| { | |
| wts[1] *= 10; | |
| } | |
| for (label j = 0; j < B.n(); j++) | |
| { | |
| B(0, j) *= 10; | |
| B(1, j) *= 10; | |
| } | |
| for (label i = 0; i < B.m(); i++) | |
| { | |
| B(i, 0) *= 10; | |
| B(i, 1) *= 10; | |
| } | |
| } | |
| } | |
| if (goodFit) | |
| { | |
| if (linearCorrection_) | |
| { | |
| // Remove the uncorrected linear coefficients | |
| coeffsi[0] -= wLin; | |
| coeffsi[1] -= 1 - wLin; | |
| } | |
| else | |
| { | |
| // Remove the uncorrected upwind coefficients | |
| coeffsi[0] -= 1.0; | |
| } | |
| } | |
| else | |
| { | |
| // if (debug) | |
| // { | |
| WarningInFunction | |
| << "Could not fit face " << facei | |
| << " Weights = " << coeffsi | |
| << ", reverting to linear." << nl | |
| << " Linear weights " << wLin << " " << 1 - wLin << endl; | |
| // } | |
| coeffsi = 0; | |
| } | |
| } | |
| template<class FitDataType, class ExtendedStencil, class Polynomial> | |
| bool Foam::FitData<FitDataType, ExtendedStencil, Polynomial>::movePoints() | |
| { | |
| calcFit(); | |
| return true; | |
| } | |
| // ************************************************************************* // | |