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#include "init.h"
#include "navier-stokes.h"
#include "io.h"
#include <stdlib.h>
#include <math.h>
// random initial condition
int init_random (
_Complex double* u0,
int K1,
int K2,
int seed
){
int kx,ky;
double rescale;
double x,y;
srand(seed);
// random init (set half, then the other half are the conjugates)
for(kx=0;kx<=K1;kx++){
for(ky=-K2;ky<=K2;ky++){
if (kx!=0 || ky>0){
x=-0.5+((double) rand())/RAND_MAX;
y=-0.5+((double) rand())/RAND_MAX;
u0[klookup(kx,ky,2*K1+1,2*K2+1)]=x+y*I;
u0[klookup(-kx,-ky,2*K1+1,2*K2+1)]=conj(u0[klookup(kx,ky,2*K1+1,2*K2+1)]);
}
}
}
// rescale to match with Gallavotti's initialization
rescale=0;
for(kx=-K1;kx<=K1;kx++){
for(ky=-K2;ky<=K2;ky++){
rescale=rescale+((__real__ u0[klookup(kx,ky,2*K1+1,2*K2+1)])*(__real__ u0[klookup(kx,ky,2*K1+1,2*K2+1)])+(__imag__ u0[klookup(kx,ky,2*K1+1,2*K2+1)])*(__imag__ u0[klookup(kx,ky,2*K1+1,2*K2+1)]))*(kx*kx+ky*ky);
}
}
for(kx=-K1;kx<=K1;kx++){
for(ky=-K2;ky<=K2;ky++){
u0[klookup(kx,ky,2*K1+1,2*K2+1)]=u0[klookup(kx,ky,2*K1+1,2*K2+1)]*sqrt(1.54511597324389e+02/rescale);
}
}
return 0;
}
// Gaussian initial condition
int init_gaussian (
_Complex double* u0,
int K1,
int K2
){
int kx,ky;
for(kx=-K1;kx<=K1;kx++){
for(ky=-K2;ky<=K2;ky++){
u0[klookup(kx,ky,2*K1+1,2*K2+1)]=(kx*kx+ky*ky)*exp(-(kx*kx+ky*ky));
}
}
return 0;
}
// Initialize from file
int init_file (
_Complex double* u0,
int K1,
int K2,
FILE* initfile
){
read_u(u0, K1, K2, initfile);
return 0;
}
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