public void TaskOneStone()
{
DGSystemController controller = new DGSystemController();
controller.createDGElements(4, 3, 0.0, 20.0, 2);
Matrix Solution = controller.GetSolution();
Vector startV = ComputeV(Solution);
string matlabStringStartH = MatLabConverter.ConvertToMatLabPlotStringWithAxisLabelAndTitle(controller.GetOriginNodes(), Solution.GetColumn(0), "Raumvariable x", "h", "Lösung h zum Zeitpunkt t = 0.0");
string matlabStringStartV = MatLabConverter.ConvertToMatLabPlotStringWithAxisLabelAndTitle(controller.GetOriginNodes(), startV, "Raumvariable x", "v", "Lösung v zum Zeitpunkt t = 0.0");
controller.ComputeSolution(2.3);
Solution = controller.GetSolution();
Vector endV = ComputeV(Solution);
string matlabStringV = MatLabConverter.ConvertToMatLabPlotStringWithAxisLabelAndTitle(controller.GetOriginNodes(), endV, "Raumvariable x", "v", "Lösung v zum Zeitpunkt t = 2.3");
string matlabStringH = MatLabConverter.ConvertToMatLabPlotStringWithAxisLabelAndTitle(controller.GetOriginNodes(), Solution.GetColumn(0), "Raumvariable x", "h", "Lösung h zum Zeitpunkt t = 2.3");
}
public void TaskOneEnergy()
{
DGSystemController controller = new DGSystemController();
controller.createDGElements(101, 3, 0.0, 20.0, 2);
double test = controller.ComputeEnergy();
Console.WriteLine(test);
Dictionary<double, double> Energy = controller.ComputeSolution(1.0);
Vector time = new Vector(Energy.Count);
Vector energyVector = new Vector(Energy.Count);
int counter = 0;
foreach (KeyValuePair<double, double> entry in Energy)
{
time[counter] = entry.Key;
energyVector[counter] = entry.Value;
counter++;
Console.WriteLine("Time:" + entry.Key + " Energy:" + entry.Value);
}
string matlabString = MatLabConverter.ConvertToMatLabPlotStringWithAxisLabelAndTitle(time, energyVector, "Zeit t", "Energie e", "Energieverlauf");
}
private void TaskOneMass()
{
DGSystemController controller = new DGSystemController();
controller.createDGElements((int)Math.Pow(2.0, 5), 3, 0.0, Math.PI * 2.0, 2);
double massBefore = controller.ComputeMass()[0];
Console.WriteLine("Masse an t = 0: " + massBefore);
controller.ComputeSolution(1.0);
double massAfter = controller.ComputeMass()[0];
Console.WriteLine("Masse an t = 1.0: " + massBefore);
}
private void TaskOneWellBalanced()
{
DGSystemController controller = new DGSystemController();
controller.createDGElements(100, 3, 0.0, 20.0, 2);
Dictionary<double, double> Energy = controller.ComputeSolution(1.0);
Console.WriteLine(controller.ComputeConstant().toString(15));
Vector nodes = controller.GetOriginNodes();
Vector constant = controller.ComputeConstant();
string matlabString = MatLabConverter.ConvertToMatLabPlotStringWithAxisLabelAndTitle(nodes, constant, "Ort x", "h+b", "Well-Balanced Test");
}
private void TaskOneEOC()
{
Matrix error = new Matrix(9, 1);
for (int i = 1; i < 8; i++)
{
DGSystemController controller = new DGSystemController();
controller.createDGElements((int)Math.Pow(2.0, i), 3, 0.0, Math.PI * 2.0, 2);
controller.ComputeSolution(1.0);
Matrix approx = controller.GetSolution();
Matrix exact = controller.ComputeExactSolution(1.0);
Vector diff = approx.GetColumn(0) - exact.GetColumn(0);
double err = diff.GetMaxAbsValue();
Console.WriteLine("Error:" + err + " i = " + i);
error[i - 1, 0] = err;
}
Matrix eoc = computeEOC(error);
Console.WriteLine("EOC:");
Console.WriteLine(eoc.toString(15));
}