/// <summary>
/// Calculates the drag (x-component) and lift (y-component) forces acting on a wall of a boundary fitted grid
/// </summary>
/// <param name="U"></param>
/// <param name="P"></param>
/// <param name="muA"></param>
/// <returns></returns>
static public double[] GetForces_BoundaryFitted(VectorField <SinglePhaseField> GradU, VectorField <SinglePhaseField> GradV, SinglePhaseField StressXX,
SinglePhaseField StressXY, SinglePhaseField StressYY, SinglePhaseField P, LevelSetTracker LsTrk, double muA, double beta)
{
int D = LsTrk.GridDat.SpatialDimension;
if (D > 2)
{
throw new ArgumentException("Method GetForces_BoundaryFitted only implemented for 2D (viscoelastic)!");
}
// var UA = U.Select(u => u.GetSpeciesShadowField("A")).ToArray();
//var UA = U.ToArray();
MultidimensionalArray Grad_U = new MultidimensionalArray(D);
var _GradU = GradU.ToArray();
var _GradV = GradV.ToArray();
int RequiredOrder = _GradU[0].Basis.Degree * 3 + 2;
//int RequiredOrder = U[0].Basis.Degree * 3 + 2;
//int RequiredOrder = LsTrk.GetXQuadFactoryHelper(momentFittingVariant).GetCachedSurfaceOrders(0).Max();
//Console.WriteLine("Order reduction: {0} -> {1}", _RequiredOrder, RequiredOrder);
//if (RequiredOrder > agg.HMForder)
// throw new ArgumentException();
Console.WriteLine("Forces coeff: {0}, order = {1}", LsTrk.CutCellQuadratureType, RequiredOrder);
SinglePhaseField _StressXX = StressXX;
SinglePhaseField _StressXY = StressXY;
SinglePhaseField _StressYY = StressYY;
SinglePhaseField pA = null;
//pA = P.GetSpeciesShadowField("A");
pA = P;
double[] forces = new double[D];
for (int d = 0; d < D; d++)
{
ScalarFunctionEx ErrFunc = delegate(int j0, int Len, NodeSet Ns, MultidimensionalArray result) {
int K = result.GetLength(1); // No nof Nodes
MultidimensionalArray Grad_URes = MultidimensionalArray.Create(Len, K, D);
MultidimensionalArray Grad_VRes = MultidimensionalArray.Create(Len, K, D);
MultidimensionalArray pARes = MultidimensionalArray.Create(Len, K);
MultidimensionalArray StressXXRes = MultidimensionalArray.Create(Len, K);
MultidimensionalArray StressXYRes = MultidimensionalArray.Create(Len, K);
MultidimensionalArray StressYYRes = MultidimensionalArray.Create(Len, K);
var Normals = LsTrk.GridDat.Edges.NormalsCache.GetNormals_Edge(Ns, j0, Len);
//var Normals = MultidimensionalArray.Create(1, Ns.Length, 1);
//var Normals = LsTrk.GridDat.Edges.NormalsForAffine;
for (int i = 0; i < D; i++)
{
_GradU[i].EvaluateEdge(j0, Len, Ns, Grad_URes.ExtractSubArrayShallow(-1, -1, i),
Grad_URes.ExtractSubArrayShallow(-1, -1, i), ResultIndexOffset: 0, ResultPreScale: 1);
_GradV[i].EvaluateEdge(j0, Len, Ns, Grad_VRes.ExtractSubArrayShallow(-1, -1, i),
Grad_VRes.ExtractSubArrayShallow(-1, -1, i), ResultIndexOffset: 0, ResultPreScale: 1);
//UA[i].EvaluateGradient(j0, Len, Ns, Grad_UARes.ExtractSubArrayShallow(-1, -1, i, -1), 0, 1);
}
//pA.Evaluate(j0, Len, Ns, pARes);
pA.EvaluateEdge(j0, Len, Ns, pARes, pARes, ResultIndexOffset: 0, ResultPreScale: 1);
_StressXX.EvaluateEdge(j0, Len, Ns, StressXXRes, StressXXRes, ResultIndexOffset: 0, ResultPreScale: 1);
_StressXY.EvaluateEdge(j0, Len, Ns, StressXYRes, StressXYRes, ResultIndexOffset: 0, ResultPreScale: 1);
_StressYY.EvaluateEdge(j0, Len, Ns, StressYYRes, StressYYRes, ResultIndexOffset: 0, ResultPreScale: 1);
//if (LsTrk.GridDat.SpatialDimension == 2)
//{
for (int j = 0; j < Len; j++)
{
for (int k = 0; k < K; k++)
{
double acc = 0.0;
// pressure
switch (d)
{
case 0:
acc += pARes[j, k] * Normals[j, k, 0];
acc -= (2 * muA * beta) * Grad_URes[j, k, 0] * Normals[j, k, 0];
acc -= (muA * beta) * Grad_URes[j, k, 1] * Normals[j, k, 1];
acc -= (muA * beta) * Grad_VRes[j, k, 0] * Normals[j, k, 1];
acc -= (muA * (1 - beta)) * StressXXRes[j, k] * Normals[j, k, 0];
acc -= (muA * (1 - beta)) * StressXYRes[j, k] * Normals[j, k, 1];
break;
case 1:
acc += pARes[j, k] * Normals[j, k, 1];
acc -= (2 * muA * beta) * Grad_VRes[j, k, 1] * Normals[j, k, 1];
acc -= (muA * beta) * Grad_VRes[j, k, 0] * Normals[j, k, 0];
acc -= (muA * beta) * Grad_URes[j, k, 1] * Normals[j, k, 0];
acc -= (muA * (1 - beta)) * StressXYRes[j, k] * Normals[j, k, 0];
acc -= (muA * (1 - beta)) * StressYYRes[j, k] * Normals[j, k, 1];
break;
default:
throw new NotImplementedException();
}
result[j, k] = acc;
}
}
//}
//else
//{
// for (int j = 0; j < Len; j++)
// {
// for (int k = 0; k < K; k++)
// {
// double acc = 0.0;
// // pressure
// switch (d)
// {
// case 0:
// acc += pARes[j, k] * Normals[j, k, 0];
// acc -= (2 * muA) * Grad_UARes[j, k, 0, 0] * Normals[j, k, 0];
// acc -= (muA) * Grad_UARes[j, k, 0, 2] * Normals[j, k, 2];
// acc -= (muA) * Grad_UARes[j, k, 0, 1] * Normals[j, k, 1];
// acc -= (muA) * Grad_UARes[j, k, 1, 0] * Normals[j, k, 1];
// acc -= (muA) * Grad_UARes[j, k, 2, 0] * Normals[j, k, 2];
// break;
// case 1:
// acc += pARes[j, k] * Normals[j, k, 1];
// acc -= (2 * muA) * Grad_UARes[j, k, 1, 1] * Normals[j, k, 1];
// acc -= (muA) * Grad_UARes[j, k, 1, 2] * Normals[j, k, 2];
// acc -= (muA) * Grad_UARes[j, k, 1, 0] * Normals[j, k, 0];
// acc -= (muA) * Grad_UARes[j, k, 0, 1] * Normals[j, k, 0];
// acc -= (muA) * Grad_UARes[j, k, 2, 1] * Normals[j, k, 2];
// break;
// case 2:
// acc += pARes[j, k] * Normals[j, k, 2];
// acc -= (2 * muA) * Grad_UARes[j, k, 2, 2] * Normals[j, k, 2];
// acc -= (muA) * Grad_UARes[j, k, 2, 0] * Normals[j, k, 0];
// acc -= (muA) * Grad_UARes[j, k, 2, 1] * Normals[j, k, 1];
// acc -= (muA) * Grad_UARes[j, k, 0, 2] * Normals[j, k, 0];
// acc -= (muA) * Grad_UARes[j, k, 1, 2] * Normals[j, k, 1];
// break;
// default:
// throw new NotImplementedException();
// }
// result[j, k] = acc;
//}
//}
//}
};
var SchemeHelper = LsTrk.GetXDGSpaceMetrics(new[] { LsTrk.GetSpeciesId("A") }, RequiredOrder, 1).XQuadSchemeHelper;
EdgeMask Mask = new EdgeMask(LsTrk.GridDat, "Wall_cylinder");
EdgeQuadratureScheme eqs = SchemeHelper.GetEdgeQuadScheme(LsTrk.GetSpeciesId("A"), IntegrationDomain: Mask);
EdgeQuadrature.GetQuadrature(new int[] { 1 }, LsTrk.GridDat,
eqs.Compile(LsTrk.GridDat, RequiredOrder), // agg.HMForder),
delegate(int i0, int Length, QuadRule QR, MultidimensionalArray EvalResult) {
ErrFunc(i0, Length, QR.Nodes, EvalResult.ExtractSubArrayShallow(-1, -1, 0));
},
delegate(int i0, int Length, MultidimensionalArray ResultsOfIntegration) {
for (int i = 0; i < Length; i++)
{
forces[d] += ResultsOfIntegration[i, 0];
}
}
).Execute();
}
//for (int i = 0; i < D; i++)
// forces[i] = MPI.Wrappers.MPIExtensions.MPISum(forces[i]);
return(forces);
}