264 lines
14 KiB
C#
264 lines
14 KiB
C#
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using System;
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using System.Collections.Generic;
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using System.Linq;
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using System.Text;
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using System.Threading.Tasks;
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namespace CaeMesh
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{
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[Serializable]
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public class ParabolicWedgeElement : FeElement3D
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{
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// Variables
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private static int vtkCellTypeInt = (int)vtkCellType.VTK_QUADRATIC_WEDGE;
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private static double a = 1.0 / 3.0;
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private static double b = -a / 4;
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// Properties
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// Constructors
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public ParabolicWedgeElement(int id, int[] nodeIds)
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: base(id, nodeIds)
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{
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}
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public ParabolicWedgeElement(int id, int partId, int[] nodeIds)
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: base(id, partId, nodeIds)
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{
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}
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// Methods
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public override int[] GetVtkNodeIds()
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{
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// return a copy -> ToArray
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return new int[] { NodeIds[0], NodeIds[2], NodeIds[1], NodeIds[3], NodeIds[5], NodeIds[4],
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NodeIds[8], NodeIds[7], NodeIds[6], NodeIds[11], NodeIds[10], NodeIds[9],
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NodeIds[12], NodeIds[14], NodeIds[13]};
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}
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public override int[] GetGmshNodeIds()
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{
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int[] nodeIds = new int[NodeIds.Length];
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Array.Copy(NodeIds, nodeIds, 6);
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//
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nodeIds[6] = NodeIds[6];
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nodeIds[7] = NodeIds[8];
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nodeIds[8] = NodeIds[12];
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//
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nodeIds[9] = NodeIds[7];
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nodeIds[10] = NodeIds[13];
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nodeIds[11] = NodeIds[14];
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//
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nodeIds[12] = NodeIds[9];
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nodeIds[13] = NodeIds[11];
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nodeIds[14] = NodeIds[10];
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//
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return nodeIds;
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}
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public override int GetVtkCellType()
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{
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return vtkCellTypeInt;
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}
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public override FeFaceName GetFaceNameFromSortedNodeIds(int[] nodeIds)
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{
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// the parameter node ids is sorted
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// only first three/four nodes are important for face determination
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// S1 = 1-2-3-7-8-9 . 0-1-2 . 0-1-2
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// S2 = 4-5-6-10-11-12 . 3-4-5 . 3-4-5
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// S3 = 1-2-5-4-7-14-10-13 . 0-1-4-3 . 0-1-3-4
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// S4 = 2-3-6-5-8-15-11-14 . 1-2-5-4 . 1-2-4-5
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// S5 = 3-1-4-6-9-13-12-15 . 2-0-3-5 . 0-2-3-5
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if (nodeIds[2] == 2) return FeFaceName.S1;
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else if (nodeIds[0] == 3) return FeFaceName.S2;
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else if (nodeIds[1] == 1) return FeFaceName.S3;
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else if (nodeIds[0] == 1) return FeFaceName.S4;
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else if (nodeIds[0] == 0) return FeFaceName.S5;
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else throw new NotSupportedException();
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}
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public override int[] GetNodeIdsFromFaceName(FeFaceName faceName)
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{
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// S1 = 1-2-3-7-8-9 . 0-1-2-6-7-8
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// S2 = 4-5-6-10-11-12 . 3-4-5-9-10-11
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// S3 = 1-2-5-4-7-14-10-13 . 0-1-4-3-6-13-9-12
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// S4 = 2-3-6-5-8-15-11-14 . 1-2-5-4-7-14-10-13
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// S5 = 3-1-4-6-9-13-12-15 . 2-0-3-5-8-12-11-14
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switch (faceName)
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{
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case FeFaceName.S1:
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return new int[] { NodeIds[0], NodeIds[1], NodeIds[2], NodeIds[6], NodeIds[7], NodeIds[8] };
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case FeFaceName.S2:
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return new int[] { NodeIds[3], NodeIds[4], NodeIds[5], NodeIds[9], NodeIds[10], NodeIds[11] };
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case FeFaceName.S3:
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return new int[] { NodeIds[0], NodeIds[1], NodeIds[4], NodeIds[3], NodeIds[6], NodeIds[13],
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NodeIds[9], NodeIds[12] };
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case FeFaceName.S4:
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return new int[] { NodeIds[1], NodeIds[2], NodeIds[5], NodeIds[4], NodeIds[7], NodeIds[14],
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NodeIds[10], NodeIds[13] };
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case FeFaceName.S5:
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return new int[] { NodeIds[2], NodeIds[0], NodeIds[3], NodeIds[5], NodeIds[8], NodeIds[12],
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NodeIds[11], NodeIds[14] };
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default:
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throw new NotSupportedException();
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}
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}
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public override int[] GetVtkCellFromFaceName(FeFaceName faceName)
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{
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// invert the surface normal to point outwards
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// S1 = 1-2-3-7-8-9 . 0-1-2-6-7-8 . 0-2-1-8-7-6
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// S2 = 4-5-6-10-11-12 . 3-4-5-9-10-11 . 3-4-5-9-10-11 - is already outwards
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// S3 = 1-2-5-4-7-14-10-13 . 0-1-4-3-6-13-9-12 . 0-1-4-3-6-13-9-12 - is already outwards
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// S4 = 2-3-6-5-8-15-11-14 . 1-2-5-4-7-14-10-13 . 1-2-5-4-7-14-10-13 - is already outwards
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// S5 = 3-1-4-6-9-13-12-15 . 2-0-3-5-8-12-11-14 . 2-0-3-5-8-12-11-14 - is already outwards
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switch (faceName)
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{
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case FeFaceName.S1:
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return new int[] { NodeIds[0], NodeIds[2], NodeIds[1], NodeIds[8], NodeIds[7], NodeIds[6] };
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case FeFaceName.S2:
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return new int[] { NodeIds[3], NodeIds[4], NodeIds[5], NodeIds[9], NodeIds[10], NodeIds[11] };
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case FeFaceName.S3:
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return new int[] { NodeIds[0], NodeIds[1], NodeIds[4], NodeIds[3], NodeIds[6], NodeIds[13],
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NodeIds[9], NodeIds[12] };
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case FeFaceName.S4:
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return new int[] { NodeIds[1], NodeIds[2], NodeIds[5], NodeIds[4], NodeIds[7], NodeIds[14],
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NodeIds[10], NodeIds[13] };
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case FeFaceName.S5:
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return new int[] { NodeIds[2], NodeIds[0], NodeIds[3], NodeIds[5], NodeIds[8], NodeIds[12],
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NodeIds[11], NodeIds[14] };
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default:
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throw new NotSupportedException();
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}
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}
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public override int GetVtkCellIdFromCell(int[] cell)
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{
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if (cell[0] == NodeIds[0] && cell[1] == NodeIds[2] && cell[2] == NodeIds[1] &&
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cell[3] == NodeIds[8] && cell[4] == NodeIds[7] && cell[5] == NodeIds[6]) return 0;
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else if (cell[0] == NodeIds[3] && cell[1] == NodeIds[4] && cell[2] == NodeIds[5] &&
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cell[3] == NodeIds[9] && cell[4] == NodeIds[10] && cell[5] == NodeIds[11]) return 1;
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else if (cell[0] == NodeIds[0] && cell[1] == NodeIds[1] && cell[2] == NodeIds[4] && cell[3] == NodeIds[3] &&
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cell[4] == NodeIds[6] && cell[5] == NodeIds[13] && cell[6] == NodeIds[9] && cell[7] == NodeIds[12]) return 2;
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else if (cell[0] == NodeIds[1] && cell[1] == NodeIds[2] && cell[2] == NodeIds[5] && cell[3] == NodeIds[4] &&
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cell[4] == NodeIds[7] && cell[5] == NodeIds[14] && cell[6] == NodeIds[10] && cell[7] == NodeIds[13]) return 3;
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else if (cell[0] == NodeIds[2] && cell[1] == NodeIds[0] && cell[2] == NodeIds[3] && cell[3] == NodeIds[5] &&
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cell[4] == NodeIds[8] && cell[5] == NodeIds[12] && cell[6] == NodeIds[11] && cell[7] == NodeIds[14]) return 4;
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return -1;
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}
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public override int[][] GetAllVtkCells()
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{
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// use Method: GetVtkCellFromFaceName(FeFaceName faceName)
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int[][] cells = new int[5][];
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//
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cells[0] = new int[] { NodeIds[0], NodeIds[2], NodeIds[1], NodeIds[8], NodeIds[7], NodeIds[6] };
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cells[1] = new int[] { NodeIds[3], NodeIds[4], NodeIds[5], NodeIds[9], NodeIds[10], NodeIds[11] };
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cells[2] = new int[] { NodeIds[0], NodeIds[1], NodeIds[4], NodeIds[3], NodeIds[6], NodeIds[13],
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NodeIds[9], NodeIds[12] };
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cells[3] = new int[] { NodeIds[1], NodeIds[2], NodeIds[5], NodeIds[4], NodeIds[7], NodeIds[14],
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NodeIds[10], NodeIds[13] };
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cells[4] = new int[] { NodeIds[2], NodeIds[0], NodeIds[3], NodeIds[5], NodeIds[8], NodeIds[12],
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NodeIds[11], NodeIds[14] };
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//
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return cells;
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}
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public override Dictionary<FeFaceName, double> GetFaceNamesAndAreasFromNodeSet(HashSet<int> nodeSet,
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Dictionary<int, FeNode> nodes,
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bool edgeFaces)
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{
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// Check only first 6 nodes (as in linear element)
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int significantNodes = 6;
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bool[] faceNodeIds = new bool[significantNodes];
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//
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int count = 0;
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for (int i = 0; i < significantNodes; i++)
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{
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if (nodeSet.Contains(NodeIds[i]))
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{
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faceNodeIds[i] = true;
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count++;
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}
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// If four or more nodes were missed: break
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if (i + 1 - count >= 4) break;
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}
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// S1 = 1-2-3 . 0-1-2
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// S2 = 4-5-6 . 3-4-5
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// S3 = 1-2-5-4 . 0-1-4-3
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// S4 = 2-3-6-5 . 1-2-5-4
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// S5 = 3-1-4-6 . 2-0-3-5
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Dictionary<FeFaceName, double> faces = new Dictionary<FeFaceName, double>();
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//
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if (count >= 3)
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{
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if (faceNodeIds[0] && faceNodeIds[1] && faceNodeIds[2]) faces.Add(FeFaceName.S1, GetArea(FeFaceName.S1, nodes));
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if (faceNodeIds[3] && faceNodeIds[4] && faceNodeIds[5]) faces.Add(FeFaceName.S2, GetArea(FeFaceName.S2, nodes));
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if (faceNodeIds[0] && faceNodeIds[1] && faceNodeIds[4] && faceNodeIds[3])
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faces.Add(FeFaceName.S3, GetArea(FeFaceName.S3, nodes));
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if (faceNodeIds[1] && faceNodeIds[2] && faceNodeIds[5] && faceNodeIds[4])
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faces.Add(FeFaceName.S4, GetArea(FeFaceName.S4, nodes));
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if (faceNodeIds[2] && faceNodeIds[0] && faceNodeIds[3] && faceNodeIds[5])
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faces.Add(FeFaceName.S5, GetArea(FeFaceName.S5, nodes));
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}
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//
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return faces;
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}
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public override double[] GetEquivalentForcesFromFaceName(FeFaceName faceName)
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{
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if (faceName == FeFaceName.S1 || faceName == FeFaceName.S2)
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return new double[] { 0, 0, 0, a, a, a };
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else if (faceName == FeFaceName.S3 || faceName == FeFaceName.S4 || faceName == FeFaceName.S5)
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return new double[] { b, b, b, b, a, a, a, a };
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else throw new NotSupportedException();
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}
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public override double[] GetEquivalentForcesFromFaceName(FeFaceName faceName, double[] nodalValues)
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{
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if (faceName == FeFaceName.S1 || faceName == FeFaceName.S2)
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return GetEquivalentForces(typeof(ParabolicTriangleElement), nodalValues);
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else if (faceName == FeFaceName.S3 || faceName == FeFaceName.S4 || faceName == FeFaceName.S5)
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return GetEquivalentForces(typeof(ParabolicQuadrilateralElement), nodalValues);
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else throw new NotSupportedException();
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}
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public override double GetArea(FeFaceName faceName, Dictionary<int, FeNode> nodes)
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{
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int[] cell = GetVtkCellFromFaceName(faceName);
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if (cell.Length == 6) //(faceName == FeFaceName.S1 || faceName == FeFaceName.S2)
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return GeometryTools.TriangleArea(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]],
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nodes[cell[3]], nodes[cell[4]], nodes[cell[5]]);
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else
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return GeometryTools.RectangleArea(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]], nodes[cell[3]],
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nodes[cell[4]], nodes[cell[5]], nodes[cell[6]], nodes[cell[7]]);
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}
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public override double[] GetFaceCG(FeFaceName faceName, Dictionary<int, FeNode> nodes, out double area)
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{
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double[] cg;
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int[] cell = GetVtkCellFromFaceName(faceName);
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if (cell.Length == 6) //(faceName == FeFaceName.S1 || faceName == FeFaceName.S2)
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cg = GeometryTools.TriangleCG(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]],
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nodes[cell[3]], nodes[cell[4]], nodes[cell[5]], out area);
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else
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cg = GeometryTools.QuadrilateralCG(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]], nodes[cell[3]],
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nodes[cell[4]], nodes[cell[5]], nodes[cell[6]], nodes[cell[7]], out area);
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return cg;
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}
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public override double GetVolume(Dictionary<int, FeNode> nodes)
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{
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return GeometryTools.WedgeVolume(nodes[NodeIds[0]], nodes[NodeIds[1]], nodes[NodeIds[2]],
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nodes[NodeIds[3]], nodes[NodeIds[4]], nodes[NodeIds[5]],
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nodes[NodeIds[6]], nodes[NodeIds[7]], nodes[NodeIds[8]],
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nodes[NodeIds[9]], nodes[NodeIds[10]], nodes[NodeIds[11]],
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nodes[NodeIds[12]], nodes[NodeIds[13]], nodes[NodeIds[14]]);
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}
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public override double[] GetCG(Dictionary<int, FeNode> nodes, out double volume)
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{
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return GeometryTools.WedgeCG(nodes[NodeIds[0]], nodes[NodeIds[1]], nodes[NodeIds[2]],
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nodes[NodeIds[3]], nodes[NodeIds[4]], nodes[NodeIds[5]],
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nodes[NodeIds[6]], nodes[NodeIds[7]], nodes[NodeIds[8]],
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nodes[NodeIds[9]], nodes[NodeIds[10]], nodes[NodeIds[11]],
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nodes[NodeIds[12]], nodes[NodeIds[13]], nodes[NodeIds[14]], out volume);
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}
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public override FeElement DeepCopy()
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{
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return new ParabolicWedgeElement(Id, PartId, NodeIds.ToArray());
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}
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}
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}
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