219 lines
10 KiB
C#
219 lines
10 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 ParabolicQuadrilateralElement : FeElement2D
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{
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// Variables
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private static readonly int vtkCellTypeInt = (int)vtkCellType.VTK_QUADRATIC_QUAD;
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private static readonly double a = 1.0 / 3.0;
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private static readonly double b = -1.0 / 12.0;
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private static readonly double c = 1.0 / 6.0;
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private static readonly double d = 4.0 / 6.0;
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// Properties
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// Constructors
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public ParabolicQuadrilateralElement(int id, int[] nodeIds)
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: base(id, nodeIds)
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{
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}
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public ParabolicQuadrilateralElement(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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// return a copy -> ToArray
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return NodeIds.ToArray();
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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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throw new NotImplementedException();
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}
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public override int[] GetNodeIdsFromFaceName(FeFaceName faceName)
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{
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// NEG S1 = 1-4-3-2-8-7-6-5 . 0-3-2-1-7-6-5-4
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// POS S2 = 1-2-3-4-5-6-7-8 . 0-1-2-3-4-5-6-7
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// S3 = 1-2-5 . 0-1-4
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// S4 = 2-3-6 . 1-2-5
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// S5 = 3-4-7 . 2-3-6
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// S6 = 4-1-8 . 3-0-7
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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[7], NodeIds[6], NodeIds[5], NodeIds[4] };
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case FeFaceName.S2:
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return new int[] { NodeIds[0], NodeIds[1], NodeIds[2], NodeIds[3],
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NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7] };
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case FeFaceName.S3:
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return new int[] { NodeIds[0], NodeIds[1], NodeIds[4] };
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case FeFaceName.S4:
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return new int[] { NodeIds[1], NodeIds[2], NodeIds[5] };
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case FeFaceName.S5:
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return new int[] { NodeIds[2], NodeIds[3], NodeIds[6] };
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case FeFaceName.S6:
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return new int[] { NodeIds[3], NodeIds[0], NodeIds[7] };
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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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// NEG S1 = 1-4-3-2-8-7-6-5 . 0-3-2-1-7-6-5-4
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// POS S2 = 1-2-3-4-5-6-7-8 . 0-1-2-3-4-5-6-7
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// S3 = 1-2-5 . 0-1-4
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// S4 = 2-3-6 . 1-2-5
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// S5 = 3-4-7 . 2-3-6
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// S6 = 4-1-8 . 3-0-7
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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[7], NodeIds[6], NodeIds[5], NodeIds[4] };
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case FeFaceName.S2:
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return new int[] { NodeIds[0], NodeIds[1], NodeIds[2], NodeIds[3],
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NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7] };
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case FeFaceName.S3:
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return new int[] { NodeIds[0], NodeIds[1], NodeIds[4] };
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case FeFaceName.S4:
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return new int[] { NodeIds[1], NodeIds[2], NodeIds[5] };
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case FeFaceName.S5:
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return new int[] { NodeIds[2], NodeIds[3], NodeIds[6] };
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case FeFaceName.S6:
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return new int[] { NodeIds[3], NodeIds[0], NodeIds[7] };
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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[][] GetAllVtkCells()
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{
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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[7], NodeIds[6], NodeIds[5], NodeIds[4] };
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cells[1] = new int[] { NodeIds[0], NodeIds[1], NodeIds[2], NodeIds[3],
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NodeIds[4], NodeIds[5], NodeIds[6], NodeIds[7] };
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cells[2] = new int[] { NodeIds[0], NodeIds[1], NodeIds[4] };
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cells[3] = new int[] { NodeIds[1], NodeIds[2], NodeIds[5] };
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cells[4] = new int[] { NodeIds[2], NodeIds[3], NodeIds[6] };
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cells[5] = new int[] { NodeIds[3], NodeIds[0], NodeIds[7] };
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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 4 nodes (as in linear element)
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int significantNodes = 4;
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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 three or more nodes were missed: break
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if (i + 1 - count >= 3) break;
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}
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//
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Dictionary<FeFaceName, double> faces = new Dictionary<FeFaceName, double>();
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//
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if (edgeFaces)
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{
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if (count >= 2)
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{
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// S3 = 1-2-5 . 0-1-4
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// S4 = 2-3-6 . 1-2-5
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// S5 = 3-4-7 . 2-3-6
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// S6 = 4-1-8 . 3-0-7
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if (faceNodeIds[0] && faceNodeIds[1]) faces.Add(FeFaceName.S3, GetArea(FeFaceName.S3, nodes));
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if (faceNodeIds[1] && faceNodeIds[2]) faces.Add(FeFaceName.S4, GetArea(FeFaceName.S4, nodes));
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if (faceNodeIds[2] && faceNodeIds[3]) faces.Add(FeFaceName.S5, GetArea(FeFaceName.S5, nodes));
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if (faceNodeIds[3] && faceNodeIds[0]) faces.Add(FeFaceName.S6, GetArea(FeFaceName.S6, nodes));
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}
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}
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else if (count == 4)
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{
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// POS S2 = 1-2-3 . 0-1-2
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if (faceNodeIds[0] && faceNodeIds[1] && faceNodeIds[2] && faceNodeIds[3])
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faces.Add(FeFaceName.S2, GetArea(FeFaceName.S2, 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[] { b, b, b, b, a, a, a, a };
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else if (faceName == FeFaceName.S3 || faceName == FeFaceName.S4 ||
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faceName == FeFaceName.S5 || faceName == FeFaceName.S6)
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return new double[] { c, c, d };
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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(ParabolicQuadrilateralElement), nodalValues);
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else if (faceName == FeFaceName.S3 || faceName == FeFaceName.S4 ||
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faceName == FeFaceName.S5 || faceName == FeFaceName.S6)
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return GetEquivalentForces(typeof(ParabolicBeamElement), 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 == 8)
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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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else if (cell.Length == 3)
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return GeometryTools.BeamLength(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]]);
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else throw new NotSupportedException();
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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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if (cell.Length == 8)
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return 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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else if (cell.Length == 3)
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return GeometryTools.BeamCG(nodes[cell[0]], nodes[cell[1]], nodes[cell[2]], out area);
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else throw new NotSupportedException();
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}
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public override double[] GetCG(Dictionary<int, FeNode> nodes, out double area)
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{
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return GeometryTools.QuadrilateralCG(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]], out area);
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}
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public override FeElement DeepCopy()
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{
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return new ParabolicQuadrilateralElement(Id, PartId, NodeIds.ToArray());
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}
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}
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}
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