/// <summary>
/// Boundary quadrature for the surface elements, i.e. for each cut background-cell \f$ K_j \f$ a quadrature to approximate
/// \f[
/// \int_{\partial K_j \cap \mathfrak{I} } \ldots \mathrm{dS} .
/// \f]
/// </summary>
public EdgeQuadratureScheme GetEdgeQuadScheme(SpeciesId sp, bool UseDefaultFactories = true, EdgeMask IntegrationDomain = null, int?fixedOrder = null)
{
if (!this.SpeciesList.Contains(sp))
{
throw new ArgumentException("Given species (id = " + sp.cntnt + ") is not supported.");
}
// determine domain
// ================
var allRelevantEdges = GetEdgeMask(sp, IntegrationDomain);
// create quadrature scheme
// ========================
{
// default rules for all edges:
EdgeQuadratureScheme edgeQrIns = new EdgeQuadratureScheme(UseDefaultFactories, allRelevantEdges);
// overwrite with cut-cell-rules in cut-cells:
foreach (var Kref in XDGSpaceMetrics.GridDat.Grid.RefElements)
{
for (int iLevSet = 0; iLevSet < XDGSpaceMetrics.NoOfLevelSets; iLevSet++) // loop over level sets...
{
EdgeMask cutEdges = this.GetCutEdges(Kref, iLevSet).Intersect(allRelevantEdges);
#if DEBUG
CellMask difference = cutEdges.GetAdjacentCells(XDGSpaceMetrics.GridDat).Except(XDGSpaceMetrics.LevelSetRegions.GetCutCellMask4LevSet(iLevSet));
if (difference.Count() > 0)
{
throw new ArithmeticException("Edges of the Cells" + difference.GetSummary() + " are detected as cut, but these cells are not contained in the cut Cell-Mask of the Level-Set-Tracker");
}
#endif
var jmp = IdentifyWing(iLevSet, sp);
var factory = this.XDGSpaceMetrics.XQuadFactoryHelper.GetEdgeRuleFactory(iLevSet, jmp, Kref);
edgeQrIns.AddFactoryDomainPair(factory, cutEdges, fixedOrder);
}
}
return(edgeQrIns);
}
}