private void DrawMesh(CMshTriangleMesherDouble aMesher, vtkUnstructuredGrid anUnstructuredGrid)
{
vtkPoints points = vtkPoints.New();
for (int i = 0; i < aMesher.mesh().nbNodes(); ++i)
{
int aNodeId = aMesher.mesh().nodeId(i);
var aNode = aMesher.mesh().node(aNodeId);
points.InsertNextPoint(aNode.x(), aNode.y(), aNode.z());
}
anUnstructuredGrid.SetPoints(points);
for (int i = 0; i < aMesher.mesh().nbElements(); ++i)
{
int anElementId = aMesher.mesh().elementId(i);
var anElement = aMesher.mesh().element(anElementId);
if (anElement.elementType() == EElementType.ET_TRIANGLE)
{
var aTriangle = vtkTriangle.New();
aTriangle.GetPointIds().SetId(0, aMesher.mesh().nodeIndex(anElement.nodeId(0)));
aTriangle.GetPointIds().SetId(1, aMesher.mesh().nodeIndex(anElement.nodeId(1)));
aTriangle.GetPointIds().SetId(2, aMesher.mesh().nodeIndex(anElement.nodeId(2)));
anUnstructuredGrid.InsertNextCell(aTriangle.GetCellType(), aTriangle.GetPointIds());
}
}
}
static public void Show(RenderWindowControl aRenderControl)
{
// get a reference to the renderwindow of our renderWindowControl1
var aRenderWindow = aRenderControl.RenderWindow;
// get a reference to the renderer
var aRenderer = aRenderWindow.GetRenderers().GetFirstRenderer();
aRenderer.Clear();
aRenderer.RemoveAllViewProps();
// set background color
aRenderer.SetBackground(0.2, 0.3, 0.4);
var aMesher = new CMshTriangleMesherDouble();
FemHeat2D.GenerateMesh(aMesher, aRenderer);
var anUnstructuredGrid = vtkUnstructuredGrid.New();
FemHeat2D.DrawMesh(aMesher, anUnstructuredGrid);
FemHeat2D.Simulate(aMesher, anUnstructuredGrid, aRenderer);
aRenderer.ResetCamera();
aRenderControl.Refresh();
}
private void GenerateMesh(CMshTriangleMesherDouble aMesher)
{
var aNode1 = new CMshNodeDouble(0, 0, 0);
var aNode2 = new CMshNodeDouble(1, 0, 0);
var aNode3 = new CMshNodeDouble(1, 1, 0);
var aNode4 = new CMshNodeDouble(0, 1, 0);
var anEdgeMesh = new CMshMeshDouble();
anEdgeMesh.addNode(1, aNode1);
anEdgeMesh.addNode(2, aNode2);
anEdgeMesh.addNode(3, aNode3);
anEdgeMesh.addNode(4, aNode4);
var anElement1 = new CMshElementDouble(EElementType.ET_BEAM);
anElement1.addNodeId(1);
anElement1.addNodeId(2);
var anElement2 = new CMshElementDouble(EElementType.ET_BEAM);
anElement2.addNodeId(2);
anElement2.addNodeId(3);
var anElement3 = new CMshElementDouble(EElementType.ET_BEAM);
anElement3.addNodeId(3);
anElement3.addNodeId(4);
var anElement4 = new CMshElementDouble(EElementType.ET_BEAM);
anElement4.addNodeId(4);
anElement4.addNodeId(1);
anEdgeMesh.addElement(1, anElement1);
anEdgeMesh.addElement(2, anElement2);
anEdgeMesh.addElement(3, anElement3);
anEdgeMesh.addElement(4, anElement4);
var aMeshSize = 0.02;
anEdgeMesh.generateFaces(1E-3);
aMesher.remesh(anEdgeMesh, aMeshSize);
aMesher.generate(anEdgeMesh, 99999, aMeshSize, 0.1);
for (int i = 0; i < 3; i++)
{
aMesher.relaxNodes(1E-5);
aMesher.flipEdges(1E-5);
}
}
static public void DrawMesh(CMshTriangleMesherDouble aMesher, vtkUnstructuredGrid anUnstructuredGrid, vtkRenderer aRenderer)
{
vtkPoints sPoints = vtkPoints.New();
for (int i = 0; i < aMesher.mesh().nbNodes(); ++i)
{
int aNodeId = aMesher.mesh().nodeId(i);
var aNode = aMesher.mesh().node(aNodeId);
sPoints.InsertNextPoint(aNode.x(), aNode.y(), aNode.z());
}
anUnstructuredGrid.SetPoints(sPoints);
for (int i = 0; i < aMesher.mesh().nbElements(); ++i)
{
int anElementId = aMesher.mesh().elementId(i);
var anElement = aMesher.mesh().element(anElementId);
if (anElement.elementType() == EElementType.ET_TRIANGLE)
{
var aTriangle = vtkTriangle.New();
aTriangle.GetPointIds().SetId(0, aMesher.mesh().nodeIndex(anElement.nodeId(0)));
aTriangle.GetPointIds().SetId(1, aMesher.mesh().nodeIndex(anElement.nodeId(1)));
aTriangle.GetPointIds().SetId(2, aMesher.mesh().nodeIndex(anElement.nodeId(2)));
anUnstructuredGrid.InsertNextCell(aTriangle.GetCellType(), aTriangle.GetPointIds());
}
}
// add actor to the renderer
var aMeshActor = vtkActor.New();
aRenderer.AddActor(aMeshActor);
var aMeshMapper = vtkDataSetMapper.New();
aMeshMapper.SetInput(anUnstructuredGrid);
aMeshActor.SetMapper(aMeshMapper);
aMeshActor.GetProperty().SetRepresentationToWireframe();
}
private void Form1_Activated(object sender, EventArgs e)
{
var aMesher = new CMshTriangleMesherDouble();
GenerateMesh(aMesher);
// get a reference to the renderwindow of our renderWindowControl1
var aRenderWindow = renderWindowControl1.RenderWindow;
// get a reference to the renderer
var aRenderer = aRenderWindow.GetRenderers().GetFirstRenderer();
// set background color
aRenderer.SetBackground(0.2, 0.3, 0.4);
var anUnstructuredGrid = vtkUnstructuredGrid.New();
DrawMesh(aMesher, anUnstructuredGrid);
Simulate(aMesher, anUnstructuredGrid, aRenderer);
aRenderer.ResetCamera();
}
private void Simulate(CMshTriangleMesherDouble aMesher, vtkUnstructuredGrid anUnstructuredGrid, vtkRenderer aRenderer)
{
var T = new CPdeFieldDouble();
T.setMesh(aMesher.mesh());
T.setDiscretMethod(EDiscretMethod.DM_FEM);
T.setDiscretOrder(EDiscretOrder.DO_LINEAR);
T.setDiscretLocation(EDiscretLocation.DL_NODE);
T.setSimulationType(ESimulationType.ST_THERMAL);
T.setNbDofs(1);
// Set BC and initial conditions
T.setSize(T.mesh().nbNodes());
for (int i = 0; i < T.mesh().nbNodes(); ++i)
{
int aNodeId = T.mesh().nodeId(i);
var aNode = T.mesh().node(aNodeId);
if (Math.Abs(aNode.x() + 0.0) < 1E-6)
{
T.setFixedValue(i, 0.0);
}
if (Math.Abs(aNode.x() - 1.0) < 1E-6)
{
T.setFixedValue(i, 0.0);
}
if (Math.Abs(aNode.y() + 0.0) < 1E-6)
{
T.setFixedValue(i, 0.0);
}
if (Math.Abs(aNode.y() - 1.0) < 1E-6)
{
T.setFixedValue(i, 0.0);
}
T.setValue(i, 1.0);
}
double rho = 1.0; // density
double Cp = 1.0; // specific heat
double k = 1.0; // conductivity
double time = 0.1;
int nIter = 10;
double dt = time / nIter;
// Unsteady conduction in a plate
for (int i = 0; i < nIter; ++i)
{
Debug.WriteLine("Time = " + dt * (i + 1));
var aTransientTerm = new CSleSystemDouble();
aTransientTerm = ENigMA.ddt(T);
aTransientTerm.Multiply(rho * Cp / dt);
var aDiffusionTerm = new CSleSystemDouble();
aDiffusionTerm = ENigMA.laplacian(T);
aDiffusionTerm.Multiply(k);
var aSystem = new CSleSystemDouble();
aSystem = aTransientTerm;
aSystem.Plus(aDiffusionTerm);
var aPdeEquation = new CPdeEquationDouble(aSystem);
aPdeEquation.setElimination(T);
aPdeEquation.solve(T);
}
var sScalars = vtkFloatArray.New();
sScalars.SetNumberOfTuples(T.mesh().nbNodes());
for (int i = 0; i < T.mesh().nbNodes(); ++i)
{
int aControlVolumeId = T.mesh().nodeId(i);
sScalars.SetTuple1(aControlVolumeId, T.value(i));
}
anUnstructuredGrid.GetPointData().SetScalars(sScalars);
var aGeometryFilter = vtkGeometryFilter.New();
aGeometryFilter.SetInput(anUnstructuredGrid);
aGeometryFilter.Update();
var aBoundedFilter = vtkBandedPolyDataContourFilter.New();
aBoundedFilter.SetInput(aGeometryFilter.GetOutput());
aBoundedFilter.GenerateValues(24, sScalars.GetRange()[0], sScalars.GetRange()[1]);
var aLookupTable = vtkLookupTable.New();
aLookupTable.SetNumberOfColors(256);
aLookupTable.SetHueRange(0.667, 0.0);
aLookupTable.Build();
var aBandedMapper = vtkPolyDataMapper.New();
aBandedMapper.SetInputConnection(aBoundedFilter.GetOutputPort());
aBandedMapper.SetScalarModeToUsePointData();
aBandedMapper.SetScalarRange(sScalars.GetRange()[0], sScalars.GetRange()[1]);
aBandedMapper.SetLookupTable(aLookupTable);
// add actor to the renderer
var MeshActor = vtkActor.New();
aRenderer.AddActor(MeshActor);
var MeshMapper = vtkDataSetMapper.New();
MeshMapper.SetInput(anUnstructuredGrid);
MeshActor.SetMapper(aBandedMapper);
}
static public void Simulate(CMshTriangleMesherDouble aMesher, vtkUnstructuredGrid anUnstructuredGrid, vtkRenderer aRenderer)
{
var T = new CPdeFieldDouble();
T.setMesh(aMesher.mesh());
T.setDiscretMethod(EDiscretMethod.DM_FEM);
T.setDiscretOrder(EDiscretOrder.DO_LINEAR);
T.setDiscretLocation(EDiscretLocation.DL_NODE);
T.setSimulationType(ESimulationType.ST_THERMAL);
T.setNbDofs(1);
// Set BC and initial conditions
T.setSize(T.mesh().nbNodes());
for (int i = 0; i < T.mesh().nbNodes(); ++i)
{
int aNodeId = T.mesh().nodeId(i);
var aNode = T.mesh().node(aNodeId);
if (Math.Abs(aNode.x() + 0.0) < 1E-6)
{
T.setFixedValue(i, 0.0);
}
if (Math.Abs(aNode.x() - 1.0) < 1E-6)
{
T.setFixedValue(i, 0.0);
}
if (Math.Abs(aNode.y() + 0.0) < 1E-6)
{
T.setFixedValue(i, 0.0);
}
if (Math.Abs(aNode.y() - 1.0) < 1E-6)
{
T.setFixedValue(i, 1.0);
}
T.setValue(i, 0.0);
}
// Steady conduction in a rectangle
var aPdeEquation = new CPdeEquationDouble(ENigMA.laplacian(T));
aPdeEquation.setElimination(T);
aPdeEquation.solve(T);
var sScalars = vtkFloatArray.New();
sScalars.SetNumberOfTuples(T.mesh().nbNodes());
for (int i = 0; i < T.mesh().nbNodes(); ++i)
{
int aNodeId = T.mesh().nodeId(i);
sScalars.SetTuple1(aNodeId, T.value(i));
}
anUnstructuredGrid.GetPointData().SetScalars(sScalars);
var aGeometryFilter = vtkGeometryFilter.New();
aGeometryFilter.SetInput(anUnstructuredGrid);
aGeometryFilter.Update();
var aBoundedFilter = vtkBandedPolyDataContourFilter.New();
aBoundedFilter.SetInput(aGeometryFilter.GetOutput());
aBoundedFilter.GenerateValues(24, sScalars.GetRange()[0], sScalars.GetRange()[1]);
var aLookupTable = vtkLookupTable.New();
aLookupTable.SetNumberOfColors(256);
aLookupTable.SetHueRange(0.667, 0.0);
aLookupTable.Build();
var aBandedMapper = vtkPolyDataMapper.New();
aBandedMapper.SetInputConnection(aBoundedFilter.GetOutputPort());
aBandedMapper.SetScalarModeToUsePointData();
aBandedMapper.SetScalarRange(sScalars.GetRange()[0], sScalars.GetRange()[1]);
aBandedMapper.SetLookupTable(aLookupTable);
// add actor to the renderer
var aMeshActor = vtkActor.New();
aRenderer.AddActor(aMeshActor);
aMeshActor.SetMapper(aBandedMapper);
var aScalarBarActor = vtkScalarBarActor.New();
aRenderer.AddActor(aScalarBarActor);
aScalarBarActor.SetLookupTable(aLookupTable);
aScalarBarActor.SetTitle("Temperature");
aScalarBarActor.SetNumberOfLabels(6);
aScalarBarActor.Modified();
}
static public void GenerateMesh(CMshTriangleMesherDouble aMesher, vtkRenderer aRenderer)
{
var aNode1 = new CMshNodeDouble(0.0, 0.0, 0.0);
var aNode2 = new CMshNodeDouble(1.0, 0.0, 0.0);
var aNode3 = new CMshNodeDouble(1.0, 1.0, 0.0);
var aNode4 = new CMshNodeDouble(0.0, 1.0, 0.0);
var anEdgeMesh = new CMshMeshDouble();
anEdgeMesh.addNode(1, aNode1);
anEdgeMesh.addNode(2, aNode2);
anEdgeMesh.addNode(3, aNode3);
anEdgeMesh.addNode(4, aNode4);
var anElement1 = new CMshElementDouble(EElementType.ET_BEAM);
anElement1.addNodeId(1);
anElement1.addNodeId(2);
var anElement2 = new CMshElementDouble(EElementType.ET_BEAM);
anElement2.addNodeId(2);
anElement2.addNodeId(3);
var anElement3 = new CMshElementDouble(EElementType.ET_BEAM);
anElement3.addNodeId(3);
anElement3.addNodeId(4);
var anElement4 = new CMshElementDouble(EElementType.ET_BEAM);
anElement4.addNodeId(4);
anElement4.addNodeId(1);
anEdgeMesh.addElement(1, anElement1);
anEdgeMesh.addElement(2, anElement2);
anEdgeMesh.addElement(3, anElement3);
anEdgeMesh.addElement(4, anElement4);
Mesh2D.AddCircle(anEdgeMesh, 0.3, 0.3, 0.1);
Mesh2D.AddCircle(anEdgeMesh, 0.7, 0.3, 0.1);
Mesh2D.AddCircle(anEdgeMesh, 0.7, 0.7, 0.1);
Mesh2D.AddCircle(anEdgeMesh, 0.3, 0.7, 0.1);
var sLinesPolyData = vtkPolyData.New();
vtkPoints sPoints = vtkPoints.New();
for (int i = 0; i < anEdgeMesh.nbNodes(); ++i)
{
int aNodeId = anEdgeMesh.nodeId(i);
var aNode = anEdgeMesh.node(aNodeId);
sPoints.InsertNextPoint(aNode.x(), aNode.y(), aNode.z());
}
sLinesPolyData.SetPoints(sPoints);
var sLines = vtkCellArray.New();
for (int i = 0; i < anEdgeMesh.nbElements(); ++i)
{
int anElementId = anEdgeMesh.elementId(i);
var anElement = anEdgeMesh.element(anElementId);
var aLine = vtkLine.New();
aLine.GetPointIds().SetId(0, anEdgeMesh.nodeIndex(anElement.nodeId(0)));
aLine.GetPointIds().SetId(1, anEdgeMesh.nodeIndex(anElement.nodeId(1)));
sLines.InsertNextCell(aLine);
}
sLinesPolyData.SetLines(sLines);
// add actor to the renderer
var anEdgeActor = vtkActor.New();
aRenderer.AddActor(anEdgeActor);
var anEdgeMapper = vtkDataSetMapper.New();
anEdgeMapper.SetInput(sLinesPolyData);
anEdgeActor.SetMapper(anEdgeMapper);
var aMeshSize = 0.026;
anEdgeMesh.generateFaces(1E-3);
aMesher.remesh(anEdgeMesh, aMeshSize);
aMesher.generate(anEdgeMesh, 99999, aMeshSize, aMeshSize * 0.1, aMeshSize * 10.0, 1E-6);
for (int i = 0; i < 3; i++)
{
aMesher.relaxNodes(1E-5);
aMesher.flipEdges(1E-5);
}
aMesher.mesh().renumber();
}
