proposal implementation for MDL merge request

This commit is contained in:
philippun 2023-08-07 16:51:44 +02:00
parent 25f8c3fe6e
commit e1b7038490
5 changed files with 113 additions and 88 deletions

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@ -67,10 +67,10 @@ int main(int argc, char *argv[]) {
// set up a simulation environment
Simulation simulation = Simulation(grid, bc, FTCS_APPROACH); // grid,boundary,simulation-approach
// (optional) set the timestep of the simulation
// set the timestep of the simulation
simulation.setTimestep(10000); // timestep
// (optional) set the number of iterations
// set the number of iterations
simulation.setIterations(100);
// (optional) set kind of output [CSV_OUTPUT_OFF (default), CSV_OUTPUT_ON, CSV_OUTPUT_VERBOSE]

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@ -148,6 +148,7 @@ class Simulation {
double timestep;
int iterations;
int innerIterations;
CSV_OUTPUT csv_output;
CONSOLE_OUTPUT console_output;
TIME_MEASURE time_measure;

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@ -274,38 +274,40 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
double deltaCol = grid.getDeltaCol();
// MDL: here we have to compute the max time step
double deltaRowSquare = grid.getDeltaRow() * grid.getDeltaRow();
double deltaColSquare = grid.getDeltaCol() * grid.getDeltaCol();
// double deltaRowSquare = grid.getDeltaRow() * grid.getDeltaRow();
// double deltaColSquare = grid.getDeltaCol() * grid.getDeltaCol();
double minDelta2 = (deltaRowSquare < deltaColSquare) ? deltaRowSquare : deltaColSquare;
double maxAlphaX = grid.getAlphaX().maxCoeff();
double maxAlphaY = grid.getAlphaY().maxCoeff();
double maxAlpha = (maxAlphaX > maxAlphaY) ? maxAlphaX : maxAlphaY;
// double minDelta2 = (deltaRowSquare < deltaColSquare) ? deltaRowSquare : deltaColSquare;
// double maxAlphaX = grid.getAlphaX().maxCoeff();
// double maxAlphaY = grid.getAlphaY().maxCoeff();
// double maxAlpha = (maxAlphaX > maxAlphaY) ? maxAlphaX : maxAlphaY;
double CFL_MDL = minDelta2 / (4*maxAlpha); // Formula from Marco --> seems to be unstable
double CFL_Wiki = 1 / (4 * maxAlpha * ((1/deltaRowSquare) + (1/deltaColSquare))); // Formula from Wikipedia
// double CFL_MDL = minDelta2 / (4*maxAlpha); // Formula from Marco --> seems to be unstable
// double CFL_Wiki = 1 / (4 * maxAlpha * ((1/deltaRowSquare) + (1/deltaColSquare))); // Formula from Wikipedia
cout << "FTCS_2D :: CFL condition MDL: " << CFL_MDL << endl;
cout << "FTCS_2D :: CFL condition Wiki: " << CFL_Wiki << endl;
double required_dt = timestep;
cout << "FTCS_2D :: required dt=" << required_dt << endl;
// cout << "FTCS_2D :: CFL condition MDL: " << CFL_MDL << endl;
// cout << "FTCS_2D :: CFL condition Wiki: " << CFL_Wiki << endl;
// double required_dt = timestep;
// cout << "FTCS_2D :: required dt=" << required_dt << endl;
int inner_iterations = 1;
double allowed_dt = timestep;
if (required_dt > CFL_MDL) {
// int inner_iterations = 1;
// double timestep = timestep;
// if (required_dt > CFL_MDL) {
inner_iterations = (int) ceil(required_dt/CFL_MDL);
allowed_dt = required_dt/(double)inner_iterations;
cout << "FTCS_2D :: Required " << inner_iterations << " inner iterations with dt=" << allowed_dt << endl;
} else {
cout << "FTCS_2D :: No inner iterations required, dt=" << required_dt << endl;
}
// inner_iterations = (int)ceil(required_dt / CFL_MDL);
// timestep = required_dt / (double)inner_iterations;
// cout << "FTCS_2D :: Required " << inner_iterations
// << " inner iterations with dt=" << timestep << endl;
// } else {
// cout << "FTCS_2D :: No inner iterations required, dt=" << required_dt
// << endl;
// }
// we loop for inner iterations
for (int it =0; it < inner_iterations; ++it){
// for (int it =0; it < inner_iterations; ++it){
cout << "FTCS_2D :: iteration " << it+1 << "/" << inner_iterations << endl;
// cout << "FTCS_2D :: iteration " << it+1 << "/" << inner_iterations << endl;
// matrix for concentrations at time t+1
MatrixXd concentrations_t1 = MatrixXd::Constant(rowMax, colMax, 0);
@ -316,11 +318,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
for (int row = 1; row < rowMax-1; row++) {
for (int col = 1; col < colMax-1; col++) {
concentrations_t1(row, col) = grid.getConcentrations()(row, col)
+ allowed_dt / (deltaRow*deltaRow)
+ timestep / (deltaRow*deltaRow)
* (
calcVerticalChange(grid, row, col)
)
+ allowed_dt / (deltaCol*deltaCol)
+ timestep / (deltaCol*deltaCol)
* (
calcHorizontalChange(grid, row, col)
)
@ -335,11 +337,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
#pragma omp parallel for
for (int row = 1; row < rowMax-1; row++) {
concentrations_t1(row, col) = grid.getConcentrations()(row,col)
+ allowed_dt / (deltaCol*deltaCol)
+ timestep / (deltaCol*deltaCol)
* (
calcHorizontalChangeLeftBoundary(grid, bc, row, col)
)
+ allowed_dt / (deltaRow*deltaRow)
+ timestep / (deltaRow*deltaRow)
* (
calcVerticalChange(grid, row, col)
)
@ -352,11 +354,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
#pragma omp parallel for
for (int row = 1; row < rowMax-1; row++) {
concentrations_t1(row,col) = grid.getConcentrations()(row,col)
+ allowed_dt / (deltaCol*deltaCol)
+ timestep / (deltaCol*deltaCol)
* (
calcHorizontalChangeRightBoundary(grid, bc, row, col)
)
+ allowed_dt / (deltaRow*deltaRow)
+ timestep / (deltaRow*deltaRow)
* (
calcVerticalChange(grid, row, col)
)
@ -370,11 +372,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
#pragma omp parallel for
for (int col=1; col<colMax-1;col++){
concentrations_t1(row, col) = grid.getConcentrations()(row, col)
+ allowed_dt / (deltaRow*deltaRow)
+ timestep / (deltaRow*deltaRow)
* (
calcVerticalChangeTopBoundary(grid, bc, row, col)
)
+ allowed_dt / (deltaCol*deltaCol)
+ timestep / (deltaCol*deltaCol)
* (
calcHorizontalChange(grid, row, col)
)
@ -387,11 +389,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
#pragma omp parallel for
for(int col=1; col<colMax-1;col++){
concentrations_t1(row, col) = grid.getConcentrations()(row, col)
+ allowed_dt / (deltaRow*deltaRow)
+ timestep / (deltaRow*deltaRow)
* (
calcVerticalChangeBottomBoundary(grid, bc, row, col)
)
+ allowed_dt / (deltaCol*deltaCol)
+ timestep / (deltaCol*deltaCol)
* (
calcHorizontalChange(grid, row, col)
)
@ -403,11 +405,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
row = 0;
col = 0;
concentrations_t1(row,col) = grid.getConcentrations()(row,col)
+ allowed_dt/(deltaCol*deltaCol)
+ timestep/(deltaCol*deltaCol)
* (
calcHorizontalChangeLeftBoundary(grid, bc, row, col)
)
+ allowed_dt/(deltaRow*deltaRow)
+ timestep/(deltaRow*deltaRow)
* (
calcVerticalChangeTopBoundary(grid, bc, row, col)
)
@ -418,11 +420,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
row = 0;
col = colMax-1;
concentrations_t1(row,col) = grid.getConcentrations()(row,col)
+ allowed_dt/(deltaCol*deltaCol)
+ timestep/(deltaCol*deltaCol)
* (
calcHorizontalChangeRightBoundary(grid, bc, row, col)
)
+ allowed_dt/(deltaRow*deltaRow)
+ timestep/(deltaRow*deltaRow)
* (
calcVerticalChangeTopBoundary(grid, bc, row, col)
)
@ -433,11 +435,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
row = rowMax-1;
col = 0;
concentrations_t1(row,col) = grid.getConcentrations()(row,col)
+ allowed_dt/(deltaCol*deltaCol)
+ timestep/(deltaCol*deltaCol)
* (
calcHorizontalChangeLeftBoundary(grid, bc, row, col)
)
+ allowed_dt/(deltaRow*deltaRow)
+ timestep/(deltaRow*deltaRow)
* (
calcVerticalChangeBottomBoundary(grid, bc, row, col)
)
@ -448,11 +450,11 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
row = rowMax-1;
col = colMax-1;
concentrations_t1(row,col) = grid.getConcentrations()(row,col)
+ allowed_dt/(deltaCol*deltaCol)
+ timestep/(deltaCol*deltaCol)
* (
calcHorizontalChangeRightBoundary(grid, bc, row, col)
)
+ allowed_dt/(deltaRow*deltaRow)
+ timestep/(deltaRow*deltaRow)
* (
calcVerticalChangeBottomBoundary(grid, bc, row, col)
)
@ -460,7 +462,7 @@ static void FTCS_2D(Grid &grid, Boundary &bc, double &timestep) {
// overwrite obsolete concentrations
grid.setConcentrations(concentrations_t1);
}
// }
}

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@ -1,3 +1,5 @@
#include <cmath>
#include <cstddef>
#include <filesystem>
#include <stdexcept>
#include <string>
@ -13,7 +15,9 @@ using namespace std;
Simulation::Simulation(Grid &grid, Boundary &bc, APPROACH approach) : grid(grid), bc(bc) {
this->approach = approach;
this->timestep = -1; // error per default
this->iterations = -1;
this->innerIterations = 1;
// MDL no: we need to distinguish between "required dt" and
// "number of (outer) iterations" at which the user needs an
@ -22,37 +26,6 @@ Simulation::Simulation(Grid &grid, Boundary &bc, APPROACH approach) : grid(grid)
// reach them. The following, at least at the moment, cannot be
// computed here since "timestep" is not yet set when this
// function is called. I brought everything into "FTCS_2D"!
// TODO calculate max time step
// double deltaRowSquare = grid.getDeltaRow() * grid.getDeltaRow();
// double deltaColSquare = grid.getDeltaCol() * grid.getDeltaCol();
// double minDelta2 = (deltaRowSquare < deltaColSquare) ? deltaRowSquare : deltaColSquare;
// double maxAlphaX = grid.getAlphaX().maxCoeff();
// double maxAlphaY = grid.getAlphaY().maxCoeff();
// double maxAlpha = (maxAlphaX > maxAlphaY) ? maxAlphaX : maxAlphaY;
// double CFL_MDL = minDelta2 / (4*maxAlpha); // Formula from Marco --> seems to be unstable
// double CFL_Wiki = 1 / (4 * maxAlpha * ((1/deltaRowSquare) + (1/deltaColSquare))); // Formula from Wikipedia
// cout << "Sim :: CFL condition MDL: " << CFL_MDL << endl;
// double required_dt = this->timestep;
// cout << "Sim :: required dt=" << required_dt << endl;
// cout << "Sim :: CFL condition Wiki: " << CFL_Wiki << endl;
// if (required_dt > CFL_MDL) {
// int inner_iterations = (int) ceil(required_dt/CFL_MDL);
// double allowed_dt = required_dt/(double)inner_iterations;
// cout << "Sim :: Required " << inner_iterations << " inner iterations with dt=" << allowed_dt << endl;
// this->timestep = allowed_dt;
// this->iterations = inner_iterations;
// } else {
// cout << "Sim :: No inner iterations required, dt=" << required_dt << endl;
// }
this->csv_output = CSV_OUTPUT_OFF;
this->console_output = CONSOLE_OUTPUT_OFF;
@ -85,11 +58,59 @@ void Simulation::setTimeMeasure(TIME_MEASURE time_measure) {
}
void Simulation::setTimestep(double timestep) {
//TODO check timestep in FTCS for max value
if(timestep <= 0){
throw_invalid_argument("Timestep has to be greater than zero.");
}
this->timestep = timestep;
double deltaRowSquare;
double deltaColSquare = grid.getDeltaCol() * grid.getDeltaCol();
double minDeltaSquare;
double maxAlphaX, maxAlphaY, maxAlpha;
if (grid.getDim() == 2) {
deltaRowSquare = grid.getDeltaRow() * grid.getDeltaRow();
minDeltaSquare = (deltaRowSquare < deltaColSquare) ? deltaRowSquare : deltaColSquare;
maxAlphaX = grid.getAlphaX().maxCoeff();
maxAlphaY = grid.getAlphaY().maxCoeff();
maxAlpha = (maxAlphaX > maxAlphaY) ? maxAlphaX : maxAlphaY;
} else if (grid.getDim() == 1) {
minDeltaSquare = deltaColSquare;
maxAlpha = grid.getAlpha().maxCoeff();
} else {
throw_invalid_argument("Critical error: Undefined number of dimensions!");
}
// TODO check formula 1D case
double CFL_MDL = minDeltaSquare / (4*maxAlpha); // Formula from Marco --> seems to be unstable
double CFL_Wiki = 1 / (4 * maxAlpha * ((1/deltaRowSquare) + (1/deltaColSquare))); // Formula from Wikipedia
cout << "FTCS_2D :: CFL condition MDL: " << CFL_MDL << endl;
cout << "FTCS_2D :: CFL condition Wiki: " << CFL_Wiki << endl;
cout << "FTCS_2D :: required dt=" << timestep << endl;
if (timestep > CFL_MDL) {
this->innerIterations = (int)ceil(timestep / CFL_MDL);
this->timestep = timestep / (double)innerIterations;
cerr << "Warning: Timestep was adjusted, because of stability "
"conditions. Time duration was approximately preserved by "
"adjusting internal number of iterations."
<< endl;
cout << "FTCS_2D :: Required " << this->innerIterations
<< " inner iterations with dt=" << this->timestep << endl;
} else {
this->timestep = timestep;
cout << "FTCS_2D :: No inner iterations required, dt=" << timestep << endl;
}
}
double Simulation::getTimestep() {
@ -172,6 +193,13 @@ void Simulation::printConcentrationsCSV(string filename) {
}
void Simulation::run() {
if (this->timestep == -1) {
throw_invalid_argument("Timestep is not set!");
}
if (this->iterations == -1) {
throw_invalid_argument("Number of iterations are not set!");
}
string filename;
if (this->console_output > CONSOLE_OUTPUT_OFF) {
printConcentrationsConsole();
@ -182,9 +210,9 @@ void Simulation::run() {
if (approach == FTCS_APPROACH) {
auto begin = std::chrono::high_resolution_clock::now();
for (int i = 0; i < iterations; i++) {
for (int i = 0; i < iterations * innerIterations; i++) {
// MDL: distinguish between "outer" and "inner" iterations
std::cout << ":: run(): Outer iteration " << i+1 << "/" << iterations << endl;
// std::cout << ":: run(): Outer iteration " << i+1 << "/" << iterations << endl;
if (console_output == CONSOLE_OUTPUT_VERBOSE && i > 0) {
printConcentrationsConsole();
}

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@ -79,7 +79,7 @@ TEST_CASE("Simulation environment"){
Simulation sim(grid, boundary, FTCS_APPROACH);
SUBCASE("default paremeters"){
CHECK_EQ(sim.getIterations(), 1000);
CHECK_EQ(sim.getIterations(), -1);
}
SUBCASE("set iterations"){
@ -93,11 +93,5 @@ TEST_CASE("Simulation environment"){
CHECK_EQ(sim.getTimestep(), 0.1);
CHECK_THROWS(sim.setTimestep(-0.3));
}
SUBCASE("filename"){
string s1 = sim.createCSVfile();
string s2 = "FTCS_12_12_1000";
CHECK_EQ(s1.find(s2) != std::string::npos, true);
}
}