void Foam::cellPointWeight::findTetrahedron
(
const polyMesh& mesh,
const vector& position,
const label cellIndex
)
{
if (debug)
{
Pout<< "\nFoam::cellPointWeight::findTetrahedron" << nl
<< "position = " << position << nl
<< "cellIndex = " << cellIndex << endl;
}
// Initialise closest triangle variables
scalar minUVWClose = VGREAT;
label pointIClose = 0;
label faceClose = 0;
const vector& P0 = mesh.cellCentres()[cellIndex];
const labelList& cellFaces = mesh.cells()[cellIndex];
const scalar cellVolume = mesh.cellVolumes()[cellIndex];
// Find the tet that the point occupies
forAll(cellFaces, faceI)
{
// Decompose each face into triangles, making a tet when
// augmented by the cell centre
const labelList& facePoints = mesh.faces()[cellFaces[faceI]];
label pointI = 1;
while ((pointI + 1) < facePoints.size())
{
// Cartesian co-ordinates of the triangle vertices
const vector& P1 = mesh.points()[facePoints[0]];
const vector& P2 = mesh.points()[facePoints[pointI]];
const vector& P3 = mesh.points()[facePoints[pointI + 1]];
// Edge vectors
const vector e1 = P1 - P0;
const vector e2 = P2 - P0;
const vector e3 = P3 - P0;
// Solve for interpolation weighting factors
// Source term
const vector rhs = position - P0;
// Determinant of coefficients matrix
// Note: if det(A) = 0 the tet is degenerate
const scalar detA =
e1.x()*e2.y()*e3.z() + e2.x()*e3.y()*e1.z()
+ e3.x()*e1.y()*e2.z() - e1.x()*e3.y()*e2.z()
- e2.x()*e1.y()*e3.z() - e3.x()*e2.y()*e1.z();
if (mag(detA/cellVolume) > tol)
{
// Solve using Cramers' rule
const scalar u =
(
rhs.x()*e2.y()*e3.z() + e2.x()*e3.y()*rhs.z()
+ e3.x()*rhs.y()*e2.z() - rhs.x()*e3.y()*e2.z()
- e2.x()*rhs.y()*e3.z() - e3.x()*e2.y()*rhs.z()
)/detA;
const scalar v =
(
e1.x()*rhs.y()*e3.z() + rhs.x()*e3.y()*e1.z()
+ e3.x()*e1.y()*rhs.z() - e1.x()*e3.y()*rhs.z()
- rhs.x()*e1.y()*e3.z() - e3.x()*rhs.y()*e1.z()
)/detA;
const scalar w =
(
e1.x()*e2.y()*rhs.z() + e2.x()*rhs.y()*e1.z()
+ rhs.x()*e1.y()*e2.z() - e1.x()*rhs.y()*e2.z()
- e2.x()*e1.y()*rhs.z() - rhs.x()*e2.y()*e1.z()
)/detA;
// Check if point is in tet
// value = 0 indicates position lies on a tet face
if
(
(u + tol > 0) && (v + tol > 0) && (w + tol > 0)
&& (u + v + w < 1 + tol)
)
{
faceVertices_[0] = facePoints[0];
faceVertices_[1] = facePoints[pointI];
faceVertices_[2] = facePoints[pointI + 1];
weights_[0] = u;
weights_[1] = v;
weights_[2] = w;
weights_[3] = 1.0 - (u + v + w);
return;
}
else
{
scalar minU = mag(u);
scalar minV = mag(v);
scalar minW = mag(w);
if (minU > 1.0)
{
minU -= 1.0;
}
if (minV > 1.0)
{
minV -= 1.0;
}
if (minW > 1.0)
{
minW -= 1.0;
}
const scalar minUVW = mag(minU + minV + minW);
if (minUVW < minUVWClose)
{
minUVWClose = minUVW;
pointIClose = pointI;
faceClose = faceI;
}
}
}
pointI++;
}
}
if (debug)
{
Pout<< "cellPointWeight::findTetrahedron" << nl
<< " Tetrahedron search failed; using closest tet values to "
<< "point " << nl << " cell: " << cellIndex << nl << endl;
}
const labelList& facePointsClose = mesh.faces()[cellFaces[faceClose]];
faceVertices_[0] = facePointsClose[0];
faceVertices_[1] = facePointsClose[pointIClose];
faceVertices_[2] = facePointsClose[pointIClose + 1];
weights_[0] = 0.25;
weights_[1] = 0.25;
weights_[2] = 0.25;
weights_[3] = 0.25;
}
void Foam::cellPointWeight::findTetrahedron
(
const polyMesh& mesh,
const vector& position,
const label celli
)
{
if (debug)
{
Pout<< nl << "Foam::cellPointWeight::findTetrahedron" << nl
<< "position = " << position << nl
<< "celli = " << celli << endl;
}
List<tetIndices> cellTets = polyMeshTetDecomposition::cellTetIndices
(
mesh,
celli
);
const scalar cellVolume = mesh.cellVolumes()[celli];
forAll(cellTets, tetI)
{
const tetIndices& tetIs = cellTets[tetI];
// Barycentric coordinates of the position
scalar det = tetIs.tet(mesh).pointToBarycentric(position, weights_);
if (mag(det/cellVolume) > tol)
{
const scalar& u = weights_[0];
const scalar& v = weights_[1];
const scalar& w = weights_[2];
if
(
(u + tol > 0)
&& (v + tol > 0)
&& (w + tol > 0)
&& (u + v + w < 1 + tol)
)
{
faceVertices_ = tetIs.faceTriIs(mesh);
return;
}
}
}
// A suitable point in a tetrahedron was not found, find the
// nearest.
scalar minNearDist = vGreat;
label nearestTetI = -1;
forAll(cellTets, tetI)
{
const tetIndices& tetIs = cellTets[tetI];
scalar nearDist = tetIs.tet(mesh).nearestPoint(position).distance();
if (nearDist < minNearDist)
{
minNearDist = nearDist;
nearestTetI = tetI;
}
}
if (debug)
{
Pout<< "cellPointWeight::findTetrahedron" << nl
<< " Tetrahedron search failed; using closest tet to point "
<< position << nl
<< " cell: "
<< celli << nl
<< endl;
}
const tetIndices& tetIs = cellTets[nearestTetI];
// Barycentric coordinates of the position, ignoring if the
// determinant is suitable. If not, the return from barycentric
// to weights_ is safe.
weights_ = tetIs.tet(mesh).pointToBarycentric(position);
faceVertices_ = tetIs.faceTriIs(mesh);
}
bool Foam::motionSmootherAlgo::checkMesh
(
const bool report,
const polyMesh& mesh,
const dictionary& dict,
const labelList& checkFaces,
const List<labelPair>& baffles,
labelHashSet& wrongFaces
)
{
const scalar maxNonOrtho
(
readScalar(dict.lookup("maxNonOrtho", true))
);
const scalar minVol
(
readScalar(dict.lookup("minVol", true))
);
const scalar minTetQuality
(
readScalar(dict.lookup("minTetQuality", true))
);
const scalar maxConcave
(
readScalar(dict.lookup("maxConcave", true))
);
const scalar minArea
(
readScalar(dict.lookup("minArea", true))
);
const scalar maxIntSkew
(
readScalar(dict.lookup("maxInternalSkewness", true))
);
const scalar maxBounSkew
(
readScalar(dict.lookup("maxBoundarySkewness", true))
);
const scalar minWeight
(
readScalar(dict.lookup("minFaceWeight", true))
);
const scalar minVolRatio
(
readScalar(dict.lookup("minVolRatio", true))
);
const scalar minTwist
(
readScalar(dict.lookup("minTwist", true))
);
const scalar minTriangleTwist
(
readScalar(dict.lookup("minTriangleTwist", true))
);
scalar minFaceFlatness = -1.0;
dict.readIfPresent("minFaceFlatness", minFaceFlatness, true);
const scalar minDet
(
readScalar(dict.lookup("minDeterminant", true))
);
label nWrongFaces = 0;
Info<< "Checking faces in error :" << endl;
//Pout.setf(ios_base::left);
if (maxNonOrtho < 180.0-SMALL)
{
polyMeshGeometry::checkFaceDotProduct
(
report,
maxNonOrtho,
mesh,
mesh.cellCentres(),
mesh.faceAreas(),
checkFaces,
baffles,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " non-orthogonality > "
<< setw(3) << maxNonOrtho
<< " degrees : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minVol > -GREAT)
{
polyMeshGeometry::checkFacePyramids
(
report,
minVol,
mesh,
mesh.cellCentres(),
mesh.points(),
checkFaces,
baffles,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with face pyramid volume < "
<< setw(5) << minVol << " : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minTetQuality > -GREAT)
{
polyMeshGeometry::checkFaceTets
(
report,
minTetQuality,
mesh,
mesh.cellCentres(),
mesh.faceCentres(),
mesh.points(),
checkFaces,
baffles,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with face-decomposition tet quality < "
<< setw(5) << minTetQuality << " : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (maxConcave < 180.0-SMALL)
{
polyMeshGeometry::checkFaceAngles
(
report,
maxConcave,
mesh,
mesh.faceAreas(),
mesh.points(),
checkFaces,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with concavity > "
<< setw(3) << maxConcave
<< " degrees : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minArea > -SMALL)
{
polyMeshGeometry::checkFaceArea
(
report,
minArea,
mesh,
mesh.faceAreas(),
checkFaces,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with area < "
<< setw(5) << minArea
<< " m^2 : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (maxIntSkew > 0 || maxBounSkew > 0)
{
polyMeshGeometry::checkFaceSkewness
(
report,
maxIntSkew,
maxBounSkew,
mesh,
mesh.points(),
mesh.cellCentres(),
mesh.faceCentres(),
mesh.faceAreas(),
checkFaces,
baffles,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with skewness > "
<< setw(3) << maxIntSkew
<< " (internal) or " << setw(3) << maxBounSkew
<< " (boundary) : " << nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minWeight >= 0 && minWeight < 1)
{
polyMeshGeometry::checkFaceWeights
(
report,
minWeight,
mesh,
mesh.cellCentres(),
mesh.faceCentres(),
mesh.faceAreas(),
checkFaces,
baffles,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with interpolation weights (0..1) < "
<< setw(5) << minWeight
<< " : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minVolRatio >= 0)
{
polyMeshGeometry::checkVolRatio
(
report,
minVolRatio,
mesh,
mesh.cellVolumes(),
checkFaces,
baffles,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with volume ratio of neighbour cells < "
<< setw(5) << minVolRatio
<< " : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minTwist > -1)
{
//Pout<< "Checking face twist: dot product of face normal "
// << "with face triangle normals" << endl;
polyMeshGeometry::checkFaceTwist
(
report,
minTwist,
mesh,
mesh.cellCentres(),
mesh.faceAreas(),
mesh.faceCentres(),
mesh.points(),
checkFaces,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with face twist < "
<< setw(5) << minTwist
<< " : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minTriangleTwist > -1)
{
//Pout<< "Checking triangle twist: dot product of consecutive triangle"
// << " normals resulting from face-centre decomposition" << endl;
polyMeshGeometry::checkTriangleTwist
(
report,
minTriangleTwist,
mesh,
mesh.faceAreas(),
mesh.faceCentres(),
mesh.points(),
checkFaces,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with triangle twist < "
<< setw(5) << minTriangleTwist
<< " : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minFaceFlatness > -SMALL)
{
polyMeshGeometry::checkFaceFlatness
(
report,
minFaceFlatness,
mesh,
mesh.faceAreas(),
mesh.faceCentres(),
mesh.points(),
checkFaces,
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces with flatness < "
<< setw(5) << minFaceFlatness
<< " : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
if (minDet > -1)
{
polyMeshGeometry::checkCellDeterminant
(
report,
minDet,
mesh,
mesh.faceAreas(),
checkFaces,
polyMeshGeometry::affectedCells(mesh, checkFaces),
&wrongFaces
);
label nNewWrongFaces = returnReduce(wrongFaces.size(), sumOp<label>());
Info<< " faces on cells with determinant < "
<< setw(5) << minDet << " : "
<< nNewWrongFaces-nWrongFaces << endl;
nWrongFaces = nNewWrongFaces;
}
//Pout.setf(ios_base::right);
return nWrongFaces > 0;
}
// Same check as snapMesh
void checkSnapMesh
(
const Time& runTime,
const polyMesh& mesh,
labelHashSet& wrongFaces
)
{
IOdictionary snapDict
(
IOobject
(
"snapMeshDict",
runTime.system(),
mesh,
IOobject::MUST_READ,
IOobject::NO_WRITE
)
);
// Max nonorthogonality allowed
scalar maxNonOrtho(readScalar(snapDict.lookup("maxNonOrtho")));
primitiveMesh::nonOrthThreshold_ = maxNonOrtho;
// Max concaveness allowed.
scalar maxConcave(readScalar(snapDict.lookup("maxConcave")));
primitiveMesh::faceAngleThreshold_ = maxConcave;
// Min volume allowed (factor of minimum cellVolume)
scalar relMinVol(readScalar(snapDict.lookup("minVol")));
const scalar minCellVol = min(mesh.cellVolumes());
const scalar minPyrVol = relMinVol*minCellVol;
// Min area
scalar minArea(readScalar(snapDict.lookup("minArea")));
if (maxNonOrtho < 180.0 - SMALL)
{
Pout<< "Checking non orthogonality" << endl;
label nOldSize = wrongFaces.size();
mesh.checkFaceOrthogonality(false, &wrongFaces);
Pout<< "Detected " << wrongFaces.size() - nOldSize
<< " faces with non-orthogonality > " << maxNonOrtho << " degrees"
<< endl;
}
if (minPyrVol > -GREAT)
{
Pout<< "Checking face pyramids" << endl;
label nOldSize = wrongFaces.size();
mesh.checkFacePyramids(false, minPyrVol, &wrongFaces);
Pout<< "Detected additional " << wrongFaces.size() - nOldSize
<< " faces with illegal face pyramids" << endl;
}
if (maxConcave < 180.0 - SMALL)
{
Pout<< "Checking face angles" << endl;
label nOldSize = wrongFaces.size();
mesh.checkFaceAngles(false, &wrongFaces);
Pout<< "Detected additional " << wrongFaces.size() - nOldSize
<< " faces with concavity > " << maxConcave << " degrees"
<< endl;
}
if (minArea > -SMALL)
{
Pout<< "Checking face areas" << endl;
label nOldSize = wrongFaces.size();
const scalarField magFaceAreas = mag(mesh.faceAreas());
forAll(magFaceAreas, faceI)
{
if (magFaceAreas[faceI] < minArea)
{
wrongFaces.insert(faceI);
}
}
Pout<< "Detected additional " << wrongFaces.size() - nOldSize
<< " faces with area < " << minArea << " m^2" << endl;
}
