static void run_presentation_transient(int numframes)
{
double t = 0;
double dt = 0.1;
int n = 25;
double L = 10;
double H = 10;
RBounds2D domain = new RBounds2D(0, L, 0, H);
NCGrid_Distribution soln = new NCGrid_Distribution(domain, n, n);
double max1 = 4;
double max2 = 3;
double max3 = 5;
double max4 = 2;
double omega1 = 1;
double omega2 = 0.6;
double omega3 = 0.2;
double omega4 = 1.2;
double phi1 = -0.4;
double phi2 = -0.9;
double phi3 = 1.3;
double phi4 = 0.2;
double dx = L / (n - 1);
double dy = H / (n - 1);
double refinestep = 0.1;
int refinecount = 3;
for (int i = 0; i < numframes; i++)
{
BoundaryConditions cond = new BoundaryConditions(soln, BoundaryConditions.BoundaryConditionType.Dirichlet);
t += dt;
for (int q = 0; q < n; q++)
{
double x = q * dx;
double y = q * dy;
cond[q, BoundaryConditions.Direction.Negative_X] = max1 * Math.Sin(4 * Math.PI * x / L) * Math.Sin(omega1 * t - phi1);
cond[q, BoundaryConditions.Direction.Negative_Y] = max2 * Math.Sin(2 * Math.PI * y / L) * Math.Sin(omega2 * t - phi2);
cond[q, BoundaryConditions.Direction.Positive_X] = max3 * Math.Sin(3 * Math.PI * x / L) * Math.Sin(omega3 * t - phi3);
cond[q, BoundaryConditions.Direction.Positive_Y] = max4 * Math.Sin(5 * Math.PI * y / L) * Math.Sin(omega4 * t - phi4);
}
BVPLinear2D problem = new BVPLinear2D(cond, LinearOperatorOrder2.Laplace, soln);
NCGrid_Distribution sol = problem.SolveKaczMarzExt(100, 10, 20);
sol.ApplyMeshMorphGA(refinestep);
for (int z = 0; z < refinecount - 1; z++)
{
problem = new BVPLinear2D(cond, LinearOperatorOrder2.Laplace, soln);
sol = problem.Solve(Matrix.SystemSolvingScheme.Kaczmarz);
sol.ApplyMeshMorphGA(refinestep);
}
sol.WriteToFile("longtransient_" + i.ToString());
sol.QuickSketch("sol_" + bufferint(i, 4));
}
}
public void WriteAllDerivs(string title, bool enable_console_output, bool using_full_path, bool allow_overwrite)
{
DateTime Then = DateTime.Now;
NCGrid_Distribution this_x = new NCGrid_Distribution(bounds, this.Xcount, this.Ycount);
NCGrid_Distribution this_y = new NCGrid_Distribution(bounds, this.Xcount, this.Ycount);
NCGrid_Distribution this_xx = new NCGrid_Distribution(bounds, this.Xcount, this.Ycount);
NCGrid_Distribution this_yy = new NCGrid_Distribution(bounds, this.Xcount, this.Ycount);
NCGrid_Distribution this_xy = new NCGrid_Distribution(bounds, this.Xcount, this.Ycount);
for (int i = 1; i < this.Xcount - 1; i++)
{
for (int j = 1; j < this.Ycount - 1; j++)
{
Matrix xi = EstimateSecondDerivs(i, j, SurplusNodeAccessingMode.UPPER_RIGHT);
this_x[i, j].Value = xi[0];
this_y[i, j].Value = xi[1];
this_xx[i, j].Value = xi[2];
this_yy[i, j].Value = xi[3];
this_xy[i, j].Value = xi[4];
}
}
DateTime Now = DateTime.Now;
string title_x = title + "_x";
string title_y = title + "_y";
string title_xx = title + "_xx";
string title_yy = title + "_yy";
string title_xy = title + "_xy";
if (using_full_path)
{
string basestring = title.Split('.')[0];
title_x = basestring + "_x.dist";
title_y = basestring + "_y.dist";
title_xx = basestring + "_xx.dist";
title_yy = basestring + "_yy.dist";
title_xy = basestring + "_xy.dist";
}
this_x.WriteToFile(title_x, enable_console_output, allow_overwrite, using_full_path);
this_y.WriteToFile(title_y, enable_console_output, allow_overwrite, using_full_path);
this_xx.WriteToFile(title_xx, enable_console_output, allow_overwrite, using_full_path);
this_yy.WriteToFile(title_yy, enable_console_output, allow_overwrite, using_full_path);
this_xy.WriteToFile(title_xy, enable_console_output, allow_overwrite, using_full_path);
if (enable_console_output)
{
Console.WriteLine((Now - Then).TotalMilliseconds);
}
}
public static void GenerateFunction(string vb_syntax_eval, NCGrid_Distribution discretization, string name)
{
discretization.WriteToFile(@"C:\Users\Will\Desktop\Folders\MATH435\repo\visual-basic-templates\TEMPORARY.dist", false, true, true);
string[] vbsraw = File.ReadAllLines(script_disc_template);
int fileconst = discretization.Xcount * discretization.Ycount + 2;
vbsraw[0] = String.Format(vbsraw[0], discretization.Ycount);
vbsraw[1] = String.Format(vbsraw[1], discretization.Xcount);
vbsraw[16] = String.Format(vbsraw[16], fileconst);
vbsraw[13] = String.Format(vbsraw[13], fileconst);
vbsraw[2] = String.Format(vbsraw[2], name);
vbsraw[28] = String.Format(vbsraw[28], vb_syntax_eval);
string newname = @"C:\Users\Will\Desktop\Folders\MATH435\repo\visual-basic-templates\TEMPORARY.vbs";
File.WriteAllLines(newname, vbsraw);
run_script(newname);
File.Delete(@"C:\Users\Will\Desktop\Folders\MATH435\repo\visual-basic-templates\TEMPORARY.dist");
}
static void testfunction()
{
Console.WriteLine("Press enter to begin, or enter \"c\" to clear repos.");
if (Console.ReadLine() == "c")
{
RepoManagement.ClearRepo(Paths.DistributionRepo, Paths.ImageRepo);
}
DateTime then = DateTime.Now;
Console.WriteLine("Solving...");
double L = 10;
double H = 10;
int n = 38;
RBounds2D bounds = new RBounds2D(0, L, 0, H);
NCGrid_Distribution dist = new NCGrid_Distribution(bounds, n, n);
BoundaryConditions conditions = new BoundaryConditions(bounds, n, n, BoundaryConditions.BoundaryConditionType.Dirichlet);
double dx = L / (n - 1);
double max = 5;
string fxn = string.Format("{0}*Sin({1}*x/{2})*(Exp({1}*y/{2}) - Exp(-1*{1}*y/{2}))/(Exp({1}*{3}/{2}) - Exp(-1*{1}*{3}/{2}))", max, Math.PI, L, H);
conditions.SetConstant(0, BoundaryConditions.Direction.Negative_X);
conditions.SetConstant(0, BoundaryConditions.Direction.Negative_Y);
conditions.SetConstant(0, BoundaryConditions.Direction.Positive_Y);
for (int i = 0; i < n; i++)
{
double x = i * dx;
double z = max * Math.Sin(Math.PI * x / L);
conditions[i, BoundaryConditions.Direction.Positive_Y] = z;
}
int solcount = 50;
double[] errors = new double[solcount];
double[] iteration = new double[solcount];
DistributionSketchSettings S = DistributionSketchSettings.Fancy();
S.SetFigureTitle("Temperature Distribution");
for (int i = 0; i < solcount; i++)
{
Console.WriteLine(i.ToString() + " of " + solcount.ToString() + " iterations processed.");
iteration[i] = i;
BVPLinear2D problem = new BVPLinear2D(conditions, LinearOperatorOrder2.Laplace, dist);
problem.EnableConsoleOutput();
NCGrid_Distribution soln = problem.Solve(Matrix.SystemSolvingScheme.Kaczmarz);
NCGrid_Distribution analytic = ExactFunctionGeneratorVB2D.GenerateFunctionToGrid(fxn, soln);
soln.ApplyMeshMorphGA(15);
errors[i] = ErrorEstimation.NormDifference(soln, analytic);
string title = "iterative-" + i.ToString();
soln.WriteToFile(title);
DistributionSketch2D sketch = new DistributionSketch2D(soln, S);
dist = soln.Clone();
sketch.CreateSketch(true);
sketch.SaveImage(title + "-plot", false);
}
List <string> filestuff = new List <string>();
for (int i = 0; i < iteration.Length; i++)
{
filestuff.Add(iteration[i].ToString() + "," + errors[i].ToString());
}
File.WriteAllLines(@"C:\Users\Will\Desktop\Folders\MATH435\repo\curves-1d\errors-temp.csv", filestuff.ToArray());
Console.WriteLine("Done.");
Console.ReadLine();
}
static void testfunction3()
{
Console.WriteLine("Press enter to begin, or enter \"c\" to clear repos.");
if (Console.ReadLine() == "c")
{
RepoManagement.ClearRepo(Paths.DistributionRepo, Paths.ImageRepo);
}
DateTime then = DateTime.Now;
Console.WriteLine("Solving...");
double L = 10;
double H = 10;
int n = 26;
RBounds2D bounds = new RBounds2D(0, L, 0, H);
NCGrid_Distribution dist = new NCGrid_Distribution(bounds, n, n);
BoundaryConditions conditions = new BoundaryConditions(bounds, n, n, BoundaryConditions.BoundaryConditionType.Dirichlet);
double dx = L / (n - 1);
double omega = 4;
double max = 8;
conditions.SetConstant(0, BoundaryConditions.Direction.Negative_X);
conditions.SetConstant(0, BoundaryConditions.Direction.Negative_Y);
for (int i = 0; i < n; i++)
{
double x = i * dx;
double y = i * dx;
double ybound = max / (1 + Math.Exp(-1 * (omega * x / L)));
double xbound = max / (1 + Math.Exp(-1 * (omega * y / H)));
conditions[i, BoundaryConditions.Direction.Positive_Y] = ybound;
conditions[i, BoundaryConditions.Direction.Positive_X] = xbound;
}
int solcount = 15;
LinearOperatorOrder2 op = LinearOperatorOrder2.Laplace;
DistributionSketchSettings S = DistributionSketchSettings.Fancy();
S.SetFigureTitle("Double Logistic Boundary");
for (int i = 0; i < solcount; i++)
{
Console.WriteLine(i.ToString() + " of " + solcount.ToString() + " iterations processed.");
BVPLinear2D problem = new BVPLinear2D(conditions, op, dist);
problem.EnableConsoleOutput();
NCGrid_Distribution soln = problem.SolveSRDD();
string title = "iterative-" + i.ToString();
soln.WriteToFile(title);
DistributionSketch2D sketch = new DistributionSketch2D(soln, S);
dist = soln.Clone();
sketch.CreateSketch(true);
sketch.SaveImage(title + "-plot", false);
//dist.ApplyMeshMorphGA(2, 0.0019);
Random R = new Random();
for (int h = 1; h < dist.Xcount - 1; h++)
{
for (int k = 1; k < dist.Ycount - 1; k++)
{
double ddx = (0.5 - R.NextDouble()) * dx * 0.6;
double ddy = (0.5 - R.NextDouble()) * dx * 0.6;
Vector3 move = new Vector3(ddx, ddy, 0);
dist[h, k] = dist[h, k] + move;
}
}
}
Console.WriteLine("Done.");
Console.ReadLine();
}