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Copy pathgrid.cc
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165 lines (150 loc) · 4.52 KB
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#include <stdio.h>
#include <math.h>
#include "grid.h"
//implementation of Euler that works on a square grid
Grid::Grid(int nside_x, int nside_y, double x_min, double y_min, double x_max, double y_max)
: dimen_x_(nside_x),
dimen_y_(nside_y),
min_x_(x_min),
min_y_(y_min),
max_x_(x_max),
max_y_(y_max),
dx_((x_max-x_min)/(nside_x-1.)),
dy_((y_max-y_min)/(nside_y-1.)) {
//I want y strips to be continuous in memory so I can divide up x in domain decomposition
//I made this choice so it would be easier to deal with boundary conditions in ring topology -> no special cases for ends
grid_ = new double*[dimen_x_];
grid_[0] = new double[dimen_x_*dimen_y_];
for (int i = 1; i < dimen_x_; i++){
grid_[i] = grid_[i-1] + dimen_y_;
}
//initialize all to zero by default, initialize edges for T in a separate function
for(int i=0; i<dimen_x_; i++){
for(int j=0; j<dimen_y_; j++){
grid_[i][j]=0.;
}
}
}
Grid::~Grid() {
delete[] grid_[0];
delete[] grid_;
}
//i is x index, j is y index
double Grid::Get(int i, int j)const {
//check i, i in correct range
return grid_[i][j];
}
int Grid::SetYColumn(int i, double *val){
//check i, i in correct range
for(int j=0; j<dimen_y_; j++){
grid_[i][j]=val[j];
}
return 0;
}
//i is x index, j is y index
int Grid::GetYColumn(int i, double *val)const { //sets val to column
//check i, i in correct range
for(int j=0; j<dimen_y_; j++){
val[j]=grid_[i][j];
}
return 0;
}
int Grid::Set(int i, int j, double val){
//check i, i in correct range
grid_[i][j]=val;
return 0;
}
double Grid::GetMean()const {
//check i, i in correct range
//calculate mean temp
double sum=0;
for(int i=0; i<dimen_x_; i++){
for(int j=0; j<dimen_y_; j++){
sum+=grid_[i][j];
}
}
double mean=sum/(dimen_x_*dimen_y_);
return mean;
}
double Grid::GetMeanExcludeBorders()const {
//check i, i in correct range
//calculate mean temp
double sum=0;
for(int i=1; i<dimen_x_-1; i++){ //exclude first and last y column to get correct mean for each process
for(int j=0; j<dimen_y_; j++){
sum+=grid_[i][j];
}
}
double mean=sum/((dimen_x_-2)*dimen_y_);
return mean;
}
int Grid::InitializeTEdges(){
double x;
for(int i=0; i<dimen_x_; i++){
x=i*dx_+min_x_;
grid_[i][0]=cos(x)*cos(x);
grid_[i][dimen_y_-1]=sin(x)*sin(x);
//printf("i: %4d, dimen_x: %4d, dx: %5.2f, x_min: %5.2f, x_max: %5.2f, x: %5.2f, (x_max-x_min)/(n_x-1):%5.2f \n",i,dimen_x_,dx_, min_x_, max_x_, x, (max_x_-min_x_)/(dimen_x_-1));
}
return 0;
}
int Grid::MultiplyByConstant(double c){
for(int i=0; i<dimen_x_; i++){
for(int j=0; j<dimen_y_; j++){
grid_[i][j]*=c;
}
}
return 0;
}
int Grid::AddGridTimesConst(double c, Grid &grid2){
for(int i=0; i<dimen_x_; i++){
for(int j=0; j<dimen_y_; j++){
grid_[i][j]+=c*grid2.Get(i,j);
}
}
return 0;
}
int Grid::GradSq(Grid &grad_sq_T)const {
double f;
for(int i=0; i<dimen_x_; i++){
for(int j=0; j<dimen_y_; j++){
//grad^2 T using finite differences for spatial gradient, 2 or 3 sided differences at corners/edges of grid
if(i>0 && j>0 && i<dimen_x_-1 && j<dimen_y_-1){
f= (grid_[i-1][j]+grid_[i+1][j]+grid_[i][j-1]+grid_[i][j+1]-4*grid_[i][j])/(dx_*dx_);
} else if(i==0 and j==0){ //should I take periodicity into account?
f= (grid_[i+1][j]+grid_[i][j+1]-2*grid_[i][j])/(dx_*dx_);
} else if(i==0 and j==dimen_y_-1){
f= (grid_[i+1][j]+grid_[i][j-1]-2*grid_[i][j])/(dx_*dx_);
} else if(i==dimen_x_-1 and j==0){
f= (grid_[i-1][j]+grid_[i][j+1]-2*grid_[i][j])/(dx_*dx_);
} else if (i==dimen_x_-1 and j==dimen_y_-1){
f= (grid_[i-1][j]+grid_[i][j-1]-2*grid_[i][j])/(dx_*dx_);
} else if(i==0){
f= (grid_[i+1][j]+grid_[i][j-1]+grid_[i][j+1]-3*grid_[i][j])/(dx_*dx_);
} else if(i==dimen_x_-1){
f= (grid_[i-1][j]+grid_[i][j-1]+grid_[i][j+1]-3*grid_[i][j])/(dx_*dx_);
} else if(j==0){
f= (grid_[i-1][j]+grid_[i+1][j]+grid_[i][j+1]-3*grid_[i][j])/(dx_*dx_);
} else if(j==dimen_y_-1){
f= (grid_[i-1][j]+grid_[i+1][j]+grid_[i][j-1]-3*grid_[i][j])/(dx_*dx_);
}
grad_sq_T.Set(i,j,f);
}
}
return 0;
}
int Grid::WriteToFile(const char *fname) const{
FILE *f_out=fopen(fname,"w");
if (f_out == 0){
printf("failed to open file\n");
return 1;
}
for(int i=0; i<dimen_x_; i++){
for(int j=0; j<dimen_y_; j++){
fprintf(f_out, "%15.8f", grid_[i][j]);
}
fprintf(f_out, "\n");
}
fclose(f_out);
return 0;
}