/// <summary>
/// Uses <see cref="Grid.RefElement.GetQuadratureRule"/> to create a quad rule
/// (i.e., the quad rule is the same for all elements of
/// <paramref name="mask"/>)
/// </summary>
/// <param name="mask">
/// <see cref="IQuadRuleFactory{QuadRule}.GetQuadRuleSet"/>
/// </param>
/// <param name="order">
/// <see cref="IQuadRuleFactory{QuadRule}.GetQuadRuleSet"/>
/// </param>
/// <returns>
/// <see cref="Grid.RefElement.GetQuadratureRule"/>
/// </returns>
public IEnumerable <IChunkRulePair <QuadRule> > GetQuadRuleSet(ExecutionMask mask, int order)
{
QuadRule rule = RefElement.GetQuadratureRule(order);
Debug.Assert(rule.Nodes.IsLocked, "Error: non-locked quad rule from reference element.");
Debug.Assert(object.ReferenceEquals(rule.Nodes.RefElement, RefElement), "Error: quad rule from reference element has not the right reference elment assigned.");
return(mask.Select(chunk => new ChunkRulePair <QuadRule>(chunk, rule)));
}
/// <summary>
/// Uses <see cref="Grid.RefElement.GetQuadratureRule"/> to create a quad rule
/// (i.e., the quad rule is the same for all elements of
/// <paramref name="mask"/>)
/// </summary>
/// <param name="mask">
/// <see cref="IQuadRuleFactory{QuadRule}.GetQuadRuleSet"/>
/// </param>
/// <param name="order">
/// <see cref="IQuadRuleFactory{QuadRule}.GetQuadRuleSet"/>
/// </param>
/// <returns>
/// <see cref="Grid.RefElement.GetQuadratureRule"/>
/// </returns>
public IEnumerable <IChunkRulePair <QuadRule> > GetQuadRuleSet(ExecutionMask mask, int order)
{
if (mask.MaskType != MaskType.Geometrical)
{
throw new ArgumentException("Expecting a geometrical mask.");
}
QuadRule rule = RefElement.GetQuadratureRule(order);
Debug.Assert(rule.Nodes.IsLocked, "Error: non-locked quad rule from reference element.");
Debug.Assert(object.ReferenceEquals(rule.Nodes.RefElement, RefElement), "Error: quad rule from reference element has not the right reference elment assigned.");
return(mask.Select(chunk => new ChunkRulePair <QuadRule>(chunk, rule)));
}
public IEnumerable <IChunkRulePair <QuadRule> > GetQuadRuleSet(ExecutionMask mask, int order)
{
if (mask.MaskType != MaskType.Geometrical)
{
throw new ArgumentException("Expecting a geometrical mask.");
}
QuadRule fullRule = RefElement.GetQuadratureRule(order);
int L1 = fullRule.NoOfNodes;
int D = fullRule.SpatialDim;
var otherRule = m_orgrule.GetQuadRuleSet(mask, order);
var ret = new List <IChunkRulePair <QuadRule> >(otherRule.Count());
foreach (var x in otherRule)
{
Chunk chk = x.Chunk;
QuadRule qr = x.Rule;
int L2 = qr.NoOfNodes;
Debug.Assert(qr.SpatialDim == fullRule.SpatialDim);
QuadRule compQr = new QuadRule();
compQr.OrderOfPrecision = qr.OrderOfPrecision;
compQr.Nodes = new NodeSet(this.RefElement, L1 + L2, D);
compQr.Weights = MultidimensionalArray.Create(L1 + L2);
compQr.Nodes.SetSubArray(fullRule.Nodes, new int[] { 0, 0 }, new int[] { L1 - 1, D - 1 });
compQr.Weights.SetSubArray(fullRule.Weights, new int[] { 0 }, new int[] { L1 - 1 });
compQr.Nodes.SetSubArray(qr.Nodes, new int[] { L1, 0 }, new int[] { L1 + L2 - 1, D - 1 });
compQr.Weights.AccSubArray(-1, qr.Weights, new int[] { L1 }, new int[] { L1 + L2 - 1 });
compQr.Nodes.LockForever();
ret.Add(new ChunkRulePair <QuadRule>(chk, compQr));
}
return(ret);
}
static void JacobianTest(Cell cl, out bool PositiveJacobianFlag, out bool NegativeJacobianFlag, out bool Linear)
{
RefElement Kref = cl.Type.GetRefElement();
int D = 3; // for OpenFOAM, we assume 3D;
// get nodes within ref element, to test the Jacobian
int deg = Kref.GetInterpolationDegree(cl.Type);
if (deg > 1)
{
deg--;
}
deg *= 3;
NodeSet TestNodes = Kref.GetQuadratureRule(2 * deg).Nodes;
// evaluate derivatives of nodal polynomials for transformation
PolynomialList[] Deriv = Kref.GetInterpolationPolynomials1stDeriv(cl.Type);
MultidimensionalArray[] DerivEval = new MultidimensionalArray[D];
for (int d = 0; d < D; d++)
{
DerivEval[d] = Deriv[d].Values.GetValues(TestNodes);
}
// evaluate Jacobian matrix
MultidimensionalArray Jacobi = MultidimensionalArray.Create(TestNodes.NoOfNodes, D, D); // temporary storage for Jacobian matrix
Debug.Assert(cl.TransformationParams.Dimension == 2);
Debug.Assert(cl.TransformationParams.GetLength(1) == 3);
for (int d1 = 0; d1 < D; d1++)
{
Debug.Assert(cl.TransformationParams.GetLength(0) == Deriv[d1].Count);
MultidimensionalArray JacobiCol = Jacobi.ExtractSubArrayShallow(-1, -1, d1);
JacobiCol.Multiply(1.0, DerivEval[d1], cl.TransformationParams, 0.0, "kd", "kn", "nd");
}
// do the tests
NegativeJacobianFlag = false;
PositiveJacobianFlag = false;
double MinAbsJacobiDet = double.MaxValue;
double MaxAbsJacobiDet = 0.0;
for (int n = 0; n < TestNodes.NoOfNodes; n++)
{
double detJac = Jacobi.ExtractSubArrayShallow(n, -1, -1).Determinant();
if (detJac <= 0)
{
NegativeJacobianFlag = true;
}
if (detJac > 0)
{
PositiveJacobianFlag = true;
}
MinAbsJacobiDet = Math.Min(MinAbsJacobiDet, detJac.Abs());
MaxAbsJacobiDet = Math.Max(MaxAbsJacobiDet, detJac.Abs());
}
if ((MaxAbsJacobiDet - MinAbsJacobiDet) / MinAbsJacobiDet <= 1.0e-8)
{
Linear = true;
}
else
{
Linear = false;
}
}
