/// <summary>
/// Defines a mapping between BoSSS elements (<see cref="RefElement"/>)
/// and the Tecplot representations.
/// </summary>
/// <returns>The Tecplot zone type for the current grid</returns>
private ZoneType GetZoneType(RefElement Kref)
{
ZoneType zoneType;
if (Kref.GetType() == typeof(Line))
{
zoneType = ZoneType.FELineSeg;
}
else if (Kref.GetType() == typeof(Square))
{
zoneType = ZoneType.FEQuad;
}
else if (Kref.GetType() == typeof(Triangle))
{
zoneType = ZoneType.FETriangle;
}
else if (Kref.GetType() == typeof(Cube))
{
zoneType = ZoneType.FEBrick;
}
else if (Kref.GetType() == typeof(Tetra))
{
zoneType = ZoneType.FETetrahedron;
}
else
{
throw new NotSupportedException(Kref.GetType().ToString() + " - simplex currently not supported in tecplot.");
}
return(zoneType);
}
public ExactCircleLevelSetIntegration(int iLs, GridData c, RefElement simplex)
{
if (!Rem)
{
for (int i = 0; i < RADIUS.Length; i++)
{
Console.WriteLine("ACHTUNG: ExactCircleLevelSetIntegration; Radius = " + RADIUS[i]);
}
Rem = true;
}
if (simplex.GetType() != typeof(Square))
{
throw new ArgumentOutOfRangeException();
}
this.RefElement = simplex;
this.iLevSet = iLs;
this._Context = c;
}
/// <summary>
/// Determines the line segments bounding the selected reference
/// element (cf. <see cref="RefElement"/>) in reference coordinates
/// </summary>
/// <returns></returns>
private LineSegment[] GetReferenceLineSegments()
{
Stack <RefElement> simplexHierarchy = new Stack <RefElement>();
RefElement currentSimplex = RefElement;
int spatialDimension = RefElement.SpatialDimension;
int n = 0;
while (currentSimplex.GetType() != lineSimplex.GetType())
{
// If n > 2, the edge of the edge of a simplex is not a line.
// This is hardly likely in 2d/3d.
if (n > 2)
{
throw new ApplicationException("Something went terribly wrong.");
}
simplexHierarchy.Push(currentSimplex);
currentSimplex = currentSimplex.FaceRefElement;
n++;
}
MultidimensionalArray vertexCoordinates = MultidimensionalArray.Create(2, 1);
vertexCoordinates[0, 0] = -1.0;
vertexCoordinates[1, 0] = 1.0;
while (simplexHierarchy.Count > 0)
{
currentSimplex = simplexHierarchy.Pop();
int noOfVertices = vertexCoordinates.GetLength(0);
int D = currentSimplex.SpatialDimension;
MultidimensionalArray volumeCoordinates = MultidimensionalArray.Create(
noOfVertices * currentSimplex.NoOfFaces, currentSimplex.SpatialDimension);
for (int e = 0; e < currentSimplex.NoOfFaces; e++)
{
MultidimensionalArray coordinates = MultidimensionalArray.Create(noOfVertices, D);
currentSimplex.TransformFaceCoordinates(e, vertexCoordinates, coordinates);
for (int i = 0; i < noOfVertices; i++)
{
for (int d = 0; d < D; d++)
{
volumeCoordinates[e * noOfVertices + i, d] = coordinates[i, d];
}
}
}
vertexCoordinates = volumeCoordinates;
}
Debug.Assert(
vertexCoordinates.GetLength(0) % 2 == 0,
"Even number of vertices expected");
int initialNumberOfLineSegments = vertexCoordinates.GetLength(0) / 2;
List <LineSegment> lineSegments = new List <LineSegment>(initialNumberOfLineSegments);
for (int i = 0; i < initialNumberOfLineSegments; i++)
{
var p0 = vertexCoordinates.GetRow(2 * i + 0);
int iP0 = this.RefElement.Vertices.FindRow(p0, 1.0e-8);
var p1 = vertexCoordinates.GetRow(2 * i + 1);
int iP1 = this.RefElement.Vertices.FindRow(p1, 1.0e-8);
LineSegment newSegment = new LineSegment(spatialDimension, this.RefElement,
p0, p1, iP0, iP1,
RootFindingAlgorithm);
if (!lineSegments.Contains(newSegment))
{
lineSegments.Add(newSegment);
//tracker.Subscribe(newSegment);
}
}
foreach (LineSegment segment in lineSegments)
{
LevelSet levelSetField = levelSetData.LevelSet as LevelSet;
if (levelSetField != null)
{
segment.ProjectBasisPolynomials(levelSetField.Basis);
}
}
return(lineSegments.ToArray());
}
/// <summary>
/// Uses <see cref="GetPolynomials2D"/> or
/// <see cref="GetPolynomials3D"/> to retrieve the polynomials with
/// order less than or equal <paramref name="order"/>
/// </summary>
/// <param name="simplex"></param>
/// <param name="order"></param>
/// <returns></returns>
private static IEnumerable <Polynomial> GetPolynomials(RefElement simplex, int order)
{
int numberOfPolynomials;
if (simplex.SpatialDimension == 2)
{
numberOfPolynomials = (order + 2) * (order + 3) / 2 - 1;
}
else if (simplex.SpatialDimension == 3)
{
numberOfPolynomials = (order + 1) * (order + 2) * (2 * order + 9) / 6;
}
else
{
throw new Exception();
}
numberOfPolynomials *= simplex.SpatialDimension;
Polynomial[] allPolys;
if (simplex is Square)
{
allPolys = PolynomialsSquare;
}
else if (simplex is Triangle)
{
allPolys = PolynomialsTriangle;
}
else if (simplex is Cube)
{
allPolys = PolynomialsCube;
}
else if (simplex is Tetra)
{
allPolys = PolynomialsTetra;
}
else
{
throw new Exception();
}
if (numberOfPolynomials > allPolys.Length)
{
throw new NotSupportedException("Divergence-free basis for reference element '" + simplex.GetType().ToString() + "' is not specified for degree " + order + ", max. supported degree is " + (allPolys.Max(poly => poly.AbsoluteDegree)) + ".");
}
#if DEBUG
for (int i = 0; i < Math.Min(allPolys.Length, numberOfPolynomials); i++)
{
Debug.Assert(allPolys[i].AbsoluteDegree <= order);
}
int D = simplex.SpatialDimension;
Debug.Assert(allPolys.Length % D == 0);
for (int i = numberOfPolynomials / D; i < allPolys.Length / D; i++)
{
int DegMax = 0;
for (int d = 0; d < D; d++)
{
DegMax = Math.Max(DegMax, allPolys[i * D + d].AbsoluteDegree);
}
Debug.Assert(DegMax > order);
}
#endif
Polynomial[] ret = new Polynomial[numberOfPolynomials];
Array.Copy(allPolys, 0, ret, 0, numberOfPolynomials);
return(ret);
}