public static UniversalElement[] CreateUniversalElements()
{
UniversalElement[] universalElements = new UniversalElement[4];
universalElements[0] = new UniversalElement(-1 / Math.Sqrt(3), -1 / Math.Sqrt(3), 1, 1);
universalElements[1] = new UniversalElement(1 / Math.Sqrt(3), -1 / Math.Sqrt(3), 1, 1);
universalElements[2] = new UniversalElement(1 / Math.Sqrt(3), 1 / Math.Sqrt(3), 1, 1);
universalElements[3] = new UniversalElement(-1 / Math.Sqrt(3), 1 / Math.Sqrt(3), 1, 1);
return(universalElements);
}
private void buildMeshButton_Click(object sender, EventArgs e)
{
double initTemp = double.Parse(initTempBox.Text.Replace('.', ','));
double symTime = double.Parse(symTimeBox.Text.Replace('.', ','));
double symStepTime = double.Parse(symStepTimeBox.Text.Replace('.', ','));
double ambientTemp = double.Parse(ambientTempBox.Text.Replace('.', ','));
double alpha = double.Parse(alphaBox.Text.Replace('.', ','));
double H = double.Parse(hBox.Text.Replace('.', ','));
double B = double.Parse(bBox.Text.Replace('.', ','));
int nH = int.Parse(nHBox.Text);
int nB = int.Parse(nBBox.Text);
double specHeat = double.Parse(specHeatBox.Text.Replace('.', ','));
double conductivity = double.Parse(conductivityBox.Text.Replace('.', ','));
double density = double.Parse(densityBox.Text.Replace('.', ','));
this.globalData = new GlobalData(initTemp, symTime, symStepTime, ambientTemp, alpha, H, B, nH, nB, specHeat, conductivity, density);
grid = new Grid(globalData);
UniversalElement[] universalElements = UniversalElement.CreateUniversalElements();
int nodeNumber = globalData.GetNumberOfNodes();
c = new double[nodeNumber, nodeNumber];
h = new double[nodeNumber, nodeNumber];
p = new double[nodeNumber];
foreach (Element element in grid.GetElements())
{
int elementNodeNumber = element.GetNodes().Length;
double[,] elementH = new double[elementNodeNumber, elementNodeNumber];
double[,] elementC = new double[elementNodeNumber, elementNodeNumber];
double[] elementP;
foreach (UniversalElement universalElement in universalElements)
{
Jacobian jacobian = new Jacobian(element, universalElement);
elementH = MatrixOperations.addition(elementH, element.GetPointMatrixH(jacobian, globalData.GetConductivity()));
elementC = MatrixOperations.addition(elementC, element.GetPointMatrixC(universalElement, jacobian.GetDetJ(), globalData.GetSpecificHeat(), globalData.GetDensity()));
}
elementH = MatrixOperations.addition(elementH, element.GetMatrixHbc(globalData.GetAlfa()));
elementP = element.getVectorP(globalData.GetAlfa(), globalData.GetAmbientTemp());
Node[] nodes = element.GetNodes();
for (int i = 0; i < nodes.Length; i++)
{
for (int j = 0; j < nodes.Length; j++)
{
c[nodes[i].GetId() - 1, nodes[j].GetId() - 1] += elementC[i, j];
h[nodes[i].GetId() - 1, nodes[j].GetId() - 1] += elementH[i, j];
}
p[nodes[i].GetId() - 1] += elementP[i];
}
}
}
public Jacobian(Element element, UniversalElement universalElement)
{
double[,] tab = new double[2, 2];
for (int i = 0; i < element.GetNodes().Length; i++)
{
tab[0, 0] += universalElement.GetdKsi(i) * element.GetNode(i).GetX();
tab[0, 1] += universalElement.GetdKsi(i) * element.GetNode(i).GetY();
tab[1, 0] += universalElement.GetdEta(i) * element.GetNode(i).GetX();
tab[1, 1] += universalElement.GetdEta(i) * element.GetNode(i).GetY();
}
det = MatrixOperations.determinant(tab);
inverseJacobian = MatrixOperations.inverse(tab);
dNdx = new double[4];
dNdy = new double[4];
for (int i = 0; i < 4; i++)
{
dNdx[i] = GetInverseJacobian()[0, 0] * universalElement.GetdKsi(i) - GetInverseJacobian()[0, 1] * universalElement.GetdEta(i);
dNdy[i] = -GetInverseJacobian()[1, 0] * universalElement.GetdKsi(i) + GetInverseJacobian()[1, 1] * universalElement.GetdEta(i);
}
}
public double[,] GetPointMatrixC(UniversalElement universalElement, double det, double specificHeat, double density)
{
double[] shapeFunctions = universalElement.GetShapeFun();
return(MatrixOperations.multiply(shapeFunctions, MatrixOperations.transpose(shapeFunctions), det * specificHeat * density));
}
