279 lines
15 KiB
C#
279 lines
15 KiB
C#
using System;
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using System.Collections.Generic;
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using System.Linq;
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using System.Runtime.InteropServices;
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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 ParabolicHexaElement : FeElement3D
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{
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// Variables
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private static int vtkCellTypeInt = (int)vtkCellType.VTK_QUADRATIC_HEXAHEDRON;
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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 ParabolicHexaElement(int id, int[] nodeIds)
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: base(id, nodeIds)
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{
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}
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public ParabolicHexaElement(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 NodeIds.ToArray();
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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, 8);
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//
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nodeIds[8] = NodeIds[8];
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nodeIds[9] = NodeIds[11];
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nodeIds[10] = NodeIds[16];
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nodeIds[11] = NodeIds[9];
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//
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nodeIds[12] = NodeIds[17];
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nodeIds[13] = NodeIds[10];
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nodeIds[14] = NodeIds[18];
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nodeIds[15] = NodeIds[19];
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//
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nodeIds[16] = NodeIds[12];
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nodeIds[17] = NodeIds[15];
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nodeIds[18] = NodeIds[13];
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nodeIds[19] = NodeIds[14];
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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 node ids are sorted
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// S1 = 1-2-3-4 . 0-1-2-3 . 0-1-2-3
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// S2 = 5-8-7-6 . 4-7-6-5 . 4-5-6-7
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// S3 = 1-5-6-2 . 0-4-5-1 . 0-1-4-5
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// S4 = 2-6-7-3 . 1-5-6-2 . 1-2-5-6
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// S5 = 3-7-8-4 . 2-6-7-3 . 2-3-6-7
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// S6 = 4-8-5-1 . 3-7-4-0 . 0-3-4-7
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if (nodeIds[2] == 2) return FeFaceName.S1;
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else if (nodeIds[0] == 4) 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] == 2) return FeFaceName.S5;
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else if (nodeIds[0] == 0) return FeFaceName.S6;
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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 = 1-2-3-4-9-10-11-12 . 0-1-2-3-8-9-10-11
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// S2 = 5-8-7-6-16-15-14-13 . 4-7-6-5-15-14-13-12
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// S3 = 1-5-6-2-17-13-18-9 . 0-4-5-1-16-12-17-8
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// S4 = 2-6-7-3-18-14-19-10 . 1-5-6-2-17-13-18-9
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// S5 = 3-7-8-4-19-15-20-11 . 2-6-7-3-18-14-19-10
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// S6 = 4-8-5-1-20-16-17-12 . 3-7-4-0-19-15-16-11
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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[3],
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NodeIds[8], NodeIds[9], NodeIds[10], NodeIds[11] };
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case FeFaceName.S2:
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return new int[] { NodeIds[4], NodeIds[7], NodeIds[6], NodeIds[5],
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NodeIds[15], NodeIds[14], NodeIds[13], NodeIds[12] };
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case FeFaceName.S3:
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return new int[] { NodeIds[0], NodeIds[4], NodeIds[5], NodeIds[1],
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NodeIds[16], NodeIds[12], NodeIds[17], NodeIds[8] };
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case FeFaceName.S4:
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return new int[] { NodeIds[1], NodeIds[5], NodeIds[6], NodeIds[2],
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NodeIds[17], NodeIds[13], NodeIds[18], NodeIds[9] };
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case FeFaceName.S5:
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return new int[] { NodeIds[2], NodeIds[6], NodeIds[7], NodeIds[3],
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NodeIds[18], NodeIds[14], NodeIds[19], NodeIds[10] };
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case FeFaceName.S6:
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return new int[] { NodeIds[3], NodeIds[7], NodeIds[4], NodeIds[0],
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NodeIds[19], NodeIds[15], NodeIds[16], NodeIds[11] };
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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 = 1-2-3-4-9-10-11-12 . 0-1-2-3-8-9-10-11 . 0-3-2-1-11-10-9-8
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// S2 = 5-8-7-6-16-15-14-13 . 4-7-6-5-15-14-13-12 . 4-5-6-7-12-13-14-15
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// S3 = 1-5-6-2-17-13-18-9 . 0-4-5-1-16-12-17-8 . 0-1-5-4-8-17-12-16
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// S4 = 2-6-7-3-18-14-19-10 . 1-5-6-2-17-13-18-9 . 1-2-6-5-9-18-13-17
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// S5 = 3-7-8-4-19-15-20-11 . 2-6-7-3-18-14-19-10 . 2-3-7-6-10-19-14-18
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// S6 = 4-8-5-1-20-16-17-12 . 3-7-4-0-19-15-16-11 . 3-0-4-7-11-16-15-19
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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[3], NodeIds[2], NodeIds[1],
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NodeIds[11], NodeIds[10], NodeIds[9], NodeIds[8] };
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case FeFaceName.S2:
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return new int[] { NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7],
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NodeIds[12], NodeIds[13], NodeIds[14], NodeIds[15] };
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case FeFaceName.S3:
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return new int[] { NodeIds[0], NodeIds[1], NodeIds[5], NodeIds[4],
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NodeIds[8], NodeIds[17], NodeIds[12], NodeIds[16] };
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case FeFaceName.S4:
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return new int[] { NodeIds[1], NodeIds[2], NodeIds[6], NodeIds[5],
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NodeIds[9], NodeIds[18], NodeIds[13], NodeIds[17] };
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case FeFaceName.S5:
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return new int[] { NodeIds[2], NodeIds[3], NodeIds[7], NodeIds[6],
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NodeIds[10], NodeIds[19], NodeIds[14], NodeIds[18] };
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case FeFaceName.S6:
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return new int[] { NodeIds[3], NodeIds[0], NodeIds[4], NodeIds[7],
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NodeIds[11], NodeIds[16], NodeIds[15], NodeIds[19] };
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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[3] && cell[2] == NodeIds[2] && cell[3] == NodeIds[1] &&
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cell[4] == NodeIds[11] && cell[5] == NodeIds[10] && cell[6] == NodeIds[9] && cell[7] == NodeIds[8]) return 0;
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else if (cell[0] == NodeIds[4] && cell[1] == NodeIds[5] && cell[2] == NodeIds[6] && cell[3] == NodeIds[7] &&
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cell[4] == NodeIds[12] && cell[5] == NodeIds[13] && cell[6] == NodeIds[14] && cell[7] == NodeIds[15]) return 1;
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else if (cell[0] == NodeIds[0] && cell[1] == NodeIds[1] && cell[2] == NodeIds[5] && cell[3] == NodeIds[4] &&
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cell[4] == NodeIds[8] && cell[5] == NodeIds[17] && cell[6] == NodeIds[12] && cell[7] == NodeIds[16]) return 2;
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else if (cell[0] == NodeIds[1] && cell[1] == NodeIds[2] && cell[2] == NodeIds[6] && cell[3] == NodeIds[5] &&
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cell[4] == NodeIds[9] && cell[5] == NodeIds[18] && cell[6] == NodeIds[13] && cell[7] == NodeIds[17]) return 3;
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else if (cell[0] == NodeIds[2] && cell[1] == NodeIds[3] && cell[2] == NodeIds[7] && cell[3] == NodeIds[6] &&
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cell[4] == NodeIds[10] && cell[5] == NodeIds[19] && cell[6] == NodeIds[14] && cell[7] == NodeIds[18]) return 4;
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else if (cell[0] == NodeIds[3] && cell[1] == NodeIds[0] && cell[2] == NodeIds[4] && cell[3] == NodeIds[7] &&
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cell[4] == NodeIds[11] && cell[5] == NodeIds[16] && cell[6] == NodeIds[15] && cell[7] == NodeIds[19]) return 5;
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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[6][];
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//
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cells[0] = new int[] { NodeIds[0], NodeIds[3], NodeIds[2], NodeIds[1],
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NodeIds[11], NodeIds[10], NodeIds[9], NodeIds[8] };
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cells[1] = new int[] { NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7],
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NodeIds[12], NodeIds[13], NodeIds[14], NodeIds[15] };
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cells[2] = new int[] { NodeIds[0], NodeIds[1], NodeIds[5], NodeIds[4],
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NodeIds[8], NodeIds[17], NodeIds[12], NodeIds[16] };
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cells[3] = new int[] { NodeIds[1], NodeIds[2], NodeIds[6], NodeIds[5],
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NodeIds[9], NodeIds[18], NodeIds[13], NodeIds[17] };
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cells[4] = new int[] { NodeIds[2], NodeIds[3], NodeIds[7], NodeIds[6],
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NodeIds[10], NodeIds[19], NodeIds[14], NodeIds[18] };
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cells[5] = new int[] { NodeIds[3], NodeIds[0], NodeIds[4], NodeIds[7],
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NodeIds[11], NodeIds[16], NodeIds[15], NodeIds[19] };
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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 8 nodes (as in linear element)
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int significantNodes = 8;
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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 five or more nodes were missed: break
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if (i + 1 - count >= 5) break;
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}
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// S1 = 1-2-3-4 . 0-1-2-3
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// S2 = 5-8-7-6 . 4-7-6-5
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// S3 = 1-5-6-2 . 0-4-5-1
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// S4 = 2-6-7-3 . 1-5-6-2
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// S5 = 3-7-8-4 . 2-6-7-3
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// S6 = 4-8-5-1 . 3-7-4-0
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Dictionary<FeFaceName, double> faces = new Dictionary<FeFaceName, double>();
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//
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if (faceNodeIds[0] && faceNodeIds[1] && faceNodeIds[2] && faceNodeIds[3])
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faces.Add(FeFaceName.S1, GetArea(FeFaceName.S1, nodes));
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if (faceNodeIds[4] && faceNodeIds[7] && faceNodeIds[6] && faceNodeIds[5])
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faces.Add(FeFaceName.S2, GetArea(FeFaceName.S2, nodes));
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if (faceNodeIds[0] && faceNodeIds[4] && faceNodeIds[5] && faceNodeIds[1])
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faces.Add(FeFaceName.S3, GetArea(FeFaceName.S3, nodes));
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if (faceNodeIds[1] && faceNodeIds[5] && faceNodeIds[6] && faceNodeIds[2])
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faces.Add(FeFaceName.S4, GetArea(FeFaceName.S4, nodes));
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if (faceNodeIds[2] && faceNodeIds[6] && faceNodeIds[7] && faceNodeIds[3])
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faces.Add(FeFaceName.S5, GetArea(FeFaceName.S5, nodes));
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if (faceNodeIds[3] && faceNodeIds[7] && faceNodeIds[4] && faceNodeIds[0])
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faces.Add(FeFaceName.S6, GetArea(FeFaceName.S6, nodes));
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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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return new double[] { b, b, b, b, a, a, a, a };
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}
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public override double[] GetEquivalentForcesFromFaceName(FeFaceName faceName, double[] nodalValues)
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{
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return GetEquivalentForces(typeof(ParabolicQuadrilateralElement), nodalValues);
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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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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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int[] cell = GetVtkCellFromFaceName(faceName);
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double[] 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.HexahedronVolume(nodes[NodeIds[0]], nodes[NodeIds[1]],
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nodes[NodeIds[2]], nodes[NodeIds[3]],
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nodes[NodeIds[4]], nodes[NodeIds[5]],
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nodes[NodeIds[6]], nodes[NodeIds[7]],
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nodes[NodeIds[8]], nodes[NodeIds[9]],
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nodes[NodeIds[10]], nodes[NodeIds[11]],
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nodes[NodeIds[12]], nodes[NodeIds[13]],
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nodes[NodeIds[14]], nodes[NodeIds[15]],
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nodes[NodeIds[16]], nodes[NodeIds[17]],
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nodes[NodeIds[18]], nodes[NodeIds[19]]);
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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.HexahedronCG(nodes[NodeIds[0]], nodes[NodeIds[1]],
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nodes[NodeIds[2]], nodes[NodeIds[3]],
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nodes[NodeIds[4]], nodes[NodeIds[5]],
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nodes[NodeIds[6]], nodes[NodeIds[7]],
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nodes[NodeIds[8]], nodes[NodeIds[9]],
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nodes[NodeIds[10]], nodes[NodeIds[11]],
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nodes[NodeIds[12]], nodes[NodeIds[13]],
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nodes[NodeIds[14]], nodes[NodeIds[15]],
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nodes[NodeIds[16]], nodes[NodeIds[17]],
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nodes[NodeIds[18]], nodes[NodeIds[19]], out volume);
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}
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public override FeElement DeepCopy()
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{
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return new ParabolicHexaElement(Id, PartId, NodeIds.ToArray());
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}
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}
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}
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