Files
wg_cpso/CaeMesh/Elements/3D/LinearHexaElement.cs

213 lines
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C#
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2026-03-25 18:20:24 +08:00
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using CaeGlobals;
namespace CaeMesh
{
[Serializable]
public class LinearHexaElement : FeElement3D
{
// Variables
private static int vtkCellTypeInt = (int)vtkCellType.VTK_HEXAHEDRON;
private static double b = 0.25;
// Properties
// Constructors
public LinearHexaElement(int id, int[] nodeIds)
: base(id, nodeIds)
{
}
public LinearHexaElement(int id, int partId, int[] nodeIds)
: base(id, partId, nodeIds)
{
}
// Methods
public override int[] GetVtkNodeIds()
{
// return a copy -> ToArray
return NodeIds.ToArray();
}
public override int[] GetGmshNodeIds()
{
// return a copy -> ToArray
return NodeIds.ToArray();
}
public override int GetVtkCellType()
{
return vtkCellTypeInt;
}
public override FeFaceName GetFaceNameFromSortedNodeIds(int[] nodeIds)
{
// The node ids are sorted
// S1 = 1-2-3-4 . 0-1-2-3 . 0-1-2-3
// S2 = 5-8-7-6 . 4-7-6-5 . 4-5-6-7
// S3 = 1-5-6-2 . 0-4-5-1 . 0-1-4-5
// S4 = 2-6-7-3 . 1-5-6-2 . 1-2-5-6
// S5 = 3-7-8-4 . 2-6-7-3 . 2-3-6-7
// S6 = 4-8-5-1 . 3-7-4-0 . 0-3-4-7
if (nodeIds[2] == 2) return FeFaceName.S1;
else if (nodeIds[0] == 4) return FeFaceName.S2;
else if (nodeIds[1] == 1) return FeFaceName.S3;
else if (nodeIds[0] == 1) return FeFaceName.S4;
else if (nodeIds[0] == 2) return FeFaceName.S5;
else if (nodeIds[0] == 0) return FeFaceName.S6;
else throw new NotSupportedException();
}
public override int[] GetNodeIdsFromFaceName(FeFaceName faceName)
{
// S1 = 1-2-3-4 . 0-1-2-3
// S2 = 5-8-7-6 . 4-7-6-5
// S3 = 1-5-6-2 . 0-4-5-1
// S4 = 2-6-7-3 . 1-5-6-2
// S5 = 3-7-8-4 . 2-6-7-3
// S6 = 4-8-5-1 . 3-7-4-0
switch (faceName)
{
case FeFaceName.S1:
return new int[] { NodeIds[0], NodeIds[1], NodeIds[2], NodeIds[3] };
case FeFaceName.S2:
return new int[] { NodeIds[4], NodeIds[7], NodeIds[6], NodeIds[5] };
case FeFaceName.S3:
return new int[] { NodeIds[0], NodeIds[4], NodeIds[5], NodeIds[1] };
case FeFaceName.S4:
return new int[] { NodeIds[1], NodeIds[5], NodeIds[6], NodeIds[2] };
case FeFaceName.S5:
return new int[] { NodeIds[2], NodeIds[6], NodeIds[7], NodeIds[3] };
case FeFaceName.S6:
return new int[] { NodeIds[3], NodeIds[7], NodeIds[4], NodeIds[0] };
default:
throw new NotSupportedException();
}
}
public override int[] GetVtkCellFromFaceName(FeFaceName faceName)
{
// Invert the surface normal to point outwards
// S1 = 1-2-3-4 . 0-1-2-3 . 0-3-2-1
// S2 = 5-8-7-6 . 4-7-6-5 . 4-5-6-7
// S3 = 1-5-6-2 . 0-4-5-1 . 0-1-5-4
// S4 = 2-6-7-3 . 1-5-6-2 . 1-2-6-5
// S5 = 3-7-8-4 . 2-6-7-3 . 2-3-7-6
// S6 = 4-8-5-1 . 3-7-4-0 . 3-0-4-7
switch (faceName)
{
case FeFaceName.S1:
return new int[] { NodeIds[0], NodeIds[3], NodeIds[2], NodeIds[1] };
case FeFaceName.S2:
return new int[] { NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7] };
case FeFaceName.S3:
return new int[] { NodeIds[0], NodeIds[1], NodeIds[5], NodeIds[4] };
case FeFaceName.S4:
return new int[] { NodeIds[1], NodeIds[2], NodeIds[6], NodeIds[5] };
case FeFaceName.S5:
return new int[] { NodeIds[2], NodeIds[3], NodeIds[7], NodeIds[6] };
case FeFaceName.S6:
return new int[] { NodeIds[3], NodeIds[0], NodeIds[4], NodeIds[7] };
default:
throw new NotSupportedException();
}
}
public override int GetVtkCellIdFromCell(int[] cell)
{
if (cell[0] == NodeIds[0] && cell[1] == NodeIds[3] && cell[2] == NodeIds[2] && cell[3] == NodeIds[1]) return 0;
else if (cell[0] == NodeIds[4] && cell[1] == NodeIds[5] && cell[2] == NodeIds[6] && cell[3] == NodeIds[7]) return 1;
else if (cell[0] == NodeIds[0] && cell[1] == NodeIds[1] && cell[2] == NodeIds[5] && cell[3] == NodeIds[4]) return 2;
else if (cell[0] == NodeIds[1] && cell[1] == NodeIds[2] && cell[2] == NodeIds[6] && cell[3] == NodeIds[5]) return 3;
else if (cell[0] == NodeIds[2] && cell[1] == NodeIds[3] && cell[2] == NodeIds[7] && cell[3] == NodeIds[6]) return 4;
else if (cell[0] == NodeIds[3] && cell[1] == NodeIds[0] && cell[2] == NodeIds[4] && cell[3] == NodeIds[7]) return 5;
return -1;
}
public override int[][] GetAllVtkCells()
{
// use Method: GetVtkCellFromFaceName(FeFaceName faceName)
int[][] cells = new int[6][];
cells[0] = new int[] { NodeIds[0], NodeIds[3], NodeIds[2], NodeIds[1] };
cells[1] = new int[] { NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7] };
cells[2] = new int[] { NodeIds[0], NodeIds[1], NodeIds[5], NodeIds[4] };
cells[3] = new int[] { NodeIds[1], NodeIds[2], NodeIds[6], NodeIds[5] };
cells[4] = new int[] { NodeIds[2], NodeIds[3], NodeIds[7], NodeIds[6] };
cells[5] = new int[] { NodeIds[3], NodeIds[0], NodeIds[4], NodeIds[7] };
return cells;
}
public override Dictionary<FeFaceName, double> GetFaceNamesAndAreasFromNodeSet(HashSet<int> nodeSet,
Dictionary<int, FeNode> nodes,
bool edgeFaces)
{
int significantNodes = 8;
bool[] faceNodeIds = new bool[significantNodes];
//
int count = 0;
for (int i = 0; i < significantNodes; i++)
{
if (nodeSet.Contains(NodeIds[i]))
{
faceNodeIds[i] = true;
count++;
}
// If five or more nodes were missed: break
if (i + 1 - count >= 5) break;
}
// S1 = 1-2-3-4 . 0-1-2-3
// S2 = 5-8-7-6 . 4-7-6-5
// S3 = 1-5-6-2 . 0-4-5-1
// S4 = 2-6-7-3 . 1-5-6-2
// S5 = 3-7-8-4 . 2-6-7-3
// S6 = 4-8-5-1 . 3-7-4-0
Dictionary<FeFaceName, double> faces = new Dictionary<FeFaceName, double>();
//
if (faceNodeIds[0] && faceNodeIds[1] && faceNodeIds[2] && faceNodeIds[3]) faces.Add(FeFaceName.S1, GetArea(FeFaceName.S1, nodes));
if (faceNodeIds[4] && faceNodeIds[7] && faceNodeIds[6] && faceNodeIds[5]) faces.Add(FeFaceName.S2, GetArea(FeFaceName.S2, nodes));
if (faceNodeIds[0] && faceNodeIds[4] && faceNodeIds[5] && faceNodeIds[1]) faces.Add(FeFaceName.S3, GetArea(FeFaceName.S3, nodes));
if (faceNodeIds[1] && faceNodeIds[5] && faceNodeIds[6] && faceNodeIds[2]) faces.Add(FeFaceName.S4, GetArea(FeFaceName.S4, nodes));
if (faceNodeIds[2] && faceNodeIds[6] && faceNodeIds[7] && faceNodeIds[3]) faces.Add(FeFaceName.S5, GetArea(FeFaceName.S5, nodes));
if (faceNodeIds[3] && faceNodeIds[7] && faceNodeIds[4] && faceNodeIds[0]) faces.Add(FeFaceName.S6, GetArea(FeFaceName.S6, nodes));
//
return faces;
}
public override double[] GetEquivalentForcesFromFaceName(FeFaceName faceName)
{
return new double[] { b, b, b, b };
}
public override double[] GetEquivalentForcesFromFaceName(FeFaceName faceName, double[] nodalValues)
{
return GetEquivalentForces(typeof(LinearQuadrilateralElement), nodalValues);
}
public override double GetArea(FeFaceName faceName, Dictionary<int, FeNode> nodes)
{
int[] cell = GetVtkCellFromFaceName(faceName);
return GeometryTools.RectangleArea(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]], nodes[cell[3]]);
}
public override double[] GetFaceCG(FeFaceName faceName, Dictionary<int, FeNode> nodes, out double area)
{
int[] cell = GetVtkCellFromFaceName(faceName);
double[] cg = GeometryTools.QuadrilateralCG(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]], nodes[cell[3]], out area);
return cg;
}
public override double GetVolume(Dictionary<int, FeNode> nodes)
{
return GeometryTools.HexahedronVolume(nodes[NodeIds[0]], nodes[NodeIds[1]], nodes[NodeIds[2]], nodes[NodeIds[3]],
nodes[NodeIds[4]], nodes[NodeIds[5]], nodes[NodeIds[6]], nodes[NodeIds[7]]);
}
public override double[] GetCG(Dictionary<int, FeNode> nodes, out double volume)
{
return GeometryTools.HexahedronCG(nodes[NodeIds[0]], nodes[NodeIds[1]], nodes[NodeIds[2]], nodes[NodeIds[3]],
nodes[NodeIds[4]], nodes[NodeIds[5]], nodes[NodeIds[6]], nodes[NodeIds[7]],
out volume);
}
public override FeElement DeepCopy()
{
return new LinearHexaElement(Id, PartId, NodeIds.ToArray());
}
}
}