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splitting_routines.cpp
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splitting_routines.cpp
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#include "splitting_routines.h"
//--------SHIFTS SEQUENCE TO LEFT FOR 2l/3-------------//
void shift_arr_l(double **s, int lx, int ly, double dx, int& position, int& position_cut, int& position_end, int& brojac, int& brojac_cut, int& brojac_end, double& path, double& path_cut, double& path_end)
{ int i,j;
for(j=0;j<ly;j++)
{
for(i=0;i<2*lx/3;i++)
s[i][j]=s[i+lx/3][j];
for(i=0;i<lx/3;i++)
s[i+2*lx/3][j]=0;
}
path = path + (lx/3-brojac)*dx;
brojac = 1;
position = lx/3;
path_cut = path_cut + (lx/3-brojac_cut)*dx;
brojac_cut = 1;
position_cut = lx/3;
path_end = path_end + (lx/3-brojac_end)*dx;
brojac_end = 1;
position_end = lx/3;
}
//---------Fourier transform-----------//
void fftw_line(double **sq, double *pos_line, const int& ly, const long int& j1)
{ fftw_plan p;
fftw_complex *izlaz;
int iy;
izlaz = (fftw_complex*) fftw_malloc(sizeof(fftw_complex) * ly); // def complex sequence
p = fftw_plan_dft_r2c_1d(ly,pos_line,izlaz,FFTW_ESTIMATE);
fftw_execute(p);
sq[0][j1]=sq[0][j1] + (pow(izlaz[0][0],2) + pow(izlaz[0][1],2));
for(iy=1;iy<ly/2;iy++)
sq[iy][j1]=sq[iy][j1] + (pow(izlaz[iy][0],2) + pow(izlaz[iy][1],2))/(ly);
fftw_destroy_plan(p);
fftw_free(izlaz);
}
void integrate_noise(double **s, const int& position, const int& ly, const double& dt, const double& sigma, const double& lambda, long int *inic)
{ double prev_value, new_value;
int inic_noise;
for(int iy=0;iy<ly;iy++)
{
inic_noise=position-50;
do inic_noise++;
while (s[inic_noise][iy]>0.5); // inic_noise, implements noise for values of rho<0.5
for(int ix=inic_noise;ix<position+250;ix++)
{
if(s[ix][iy]*lambda>1000)
s[ix][iy]=s[ix][iy]+sigma*sqrt(s[ix][iy]*dt)*gauss(0,1,inic);
else
if(s[ix][iy]*lambda>0.0001)
{ prev_value=s[ix][iy];
new_value=gamdev(poidev(lambda*s[ix][iy],inic),inic);
s[ix][iy]=new_value/lambda;
if(!isfinite(s[ix][iy]) || s[ix][iy]!=s[ix][iy])
{ s[ix][iy]=prev_value;
cout<< s[ix][iy] << " 2.deo p.!! " << prev_value << " " << ix << " " << iy << " "<< new_value << endl;
}
}
else s[ix][iy]=0;
}
}
}
void integrate_diffusion(double **s, double *firstx, double *lastx1, double *lastx2, const int& position, const int& lx, const int& ly, const double& dx, const double& dt, const double& D)
{ double last1, last2;
int ix,iy;
last1=s[0][0];
firstx[0]=1;
firstx[lx-1]=0;
last1=s[position-101][0];
for(ix=position-100;ix<position+252;ix++) //lx-1 position+50
{
last2=s[ix][0]; // FIRST WAVE, ON THE LEFT
firstx[ix]=s[ix][0];
lastx1[ix]=s[ix][0];
s[ix][0]=s[ix][0] + D*dt*(s[ix+1][0] + last1 + s[ix][1] + s[ix][ly-1] - 4*s[ix][0])/(dx*dx) + s[ix][0]*dt - s[ix][0]*s[ix][0]*dt; // Deterministic term b=1
last1=last2;
}
for(iy=1;iy<ly-1;iy++)
{
last1=1; last1=s[position-101][iy];
for(ix=position-100;ix<position+252;ix++) // WAVES INSIDE THE REGION
{
last2=s[ix][iy];
lastx2[ix]= s[ix][iy];
s[ix][iy] = s[ix][iy] + D*dt*(s[ix+1][iy] + last1 + lastx1[ix] + s[ix][iy+1] - 4*s[ix][iy])/(dx*dx) + s[ix][iy]*dt - s[ix][iy]*s[ix][iy]*dt; // Deterministic term b=1
last1=last2;
lastx1[ix]=lastx2[ix];
}
}
last1=1; last1=s[position-101][iy];
for(ix=position-100;ix<position+252;ix++) // LAST WAVE
{
last2=s[ix][ly-1];
s[ix][ly-1]=s[ix][ly-1] + D*dt*(s[ix+1][ly-1] + last1 + firstx[ix] + lastx1[ix] - 4*s[ix][ly-1])/(dx*dx) + s[ix][ly-1]*dt - s[ix][ly-1]*s[ix][ly-1]*dt; // Deterministic term b=1
last1=last2;
}
}
void check_wave_positions(double **s, int& position, int& position_cut, int& position_end, const double& N)
{
if(s[position][0]>0.5)
{do position=position+1; while (s[position][0]>0.5);} //locating the front
if(s[position_cut][0]>1/N)
{do position_cut=position_cut+1; while (s[position_cut][0]>1/N);} //locating the edge
if(s[position_end][0]>0)
{do position_end=position_end+1; while (s[position_end][0]>0);} //locating the edge
}
void calculate_positions(double **s, const int& lx, const int& ly, const long int& j1, double point, double **y_fce_t, double *pos, double *omega, int& brojac, double& path, const double& dx)
{
int iy, ix = brojac-1;
double h=0;
do ix++;
while(s[ix+lx/3][0]>point);
path = path + (ix-brojac)*dx;
pos[0] = (path*(s[ix+lx/3-1][0]-s[ix+lx/3][0])+s[ix+lx/3][0]-point)/(s[ix+lx/3-1][0]-s[ix+lx/3][0]);
y_fce_t[j1][0] = y_fce_t[j1][0] + pos[0];
brojac=ix;
// Positions of other waves:
for(iy=1;iy<ly;iy++)
{
ix = brojac;
if(s[ix+lx/3][iy]>point)
{ do ix++;
while(s[ix+lx/3][iy]>point);
} else
{
do ix--;
while(s[ix+lx/3][iy]<point); ix++;
}
pos[iy] = ((path+(ix-brojac)*dx)*(s[ix+lx/3-1][iy]-s[ix+lx/3][iy])+s[ix+lx/3][iy]-point)/(s[ix+lx/3-1][iy]-s[ix+lx/3][iy]);
y_fce_t[j1][iy] = y_fce_t[j1][iy] + pos[iy];
}
for(iy=0;iy<ly;iy++)
h = h + pos[iy];
h=h/ly;
for(iy=0;iy<ly;iy++)
omega[j1]=omega[j1]+(pos[iy]-h)*(pos[iy]-h)/ly;
}