software/Nstrophy
1
Fork 0
Code Issues Pull Requests Releases Activity

Overhaul of lyapunov exponents

Browse Source
This commit is contained in:
Ian Jauslin
2025-01-31 10:52:40 -05:00
parent fa52397e87
commit 0f07f025b5
5 changed files with 651 additions and 177 deletions
Download Patch File Download Diff File Expand all files Collapse all files

35
src/lyapunov.h
View File

@@ -20,18 +20,41 @@ limitations under the License.
#include "navier-stokes.h"
// compute Lyapunov exponents
int lyapunov( int K1, int K2, int N1, int N2, double final_time, double lyapunov_reset, double nu, double D_epsilon, double delta, double L, double adaptive_tolerance, double adaptive_factor, double max_delta, unsigned int adaptive_norm, _Complex double* u0, _Complex double* g, bool irreversible, bool keep_en_cst, double target_en, unsigned int algorithm, double starting_time, unsigned int nthreads);
int lyapunov( int K1, int K2, int N1, int N2, double final_time, double lyapunov_reset, unsigned int lyapunov_trigger, double nu, double delta, double L, double adaptive_tolerance, double adaptive_factor, double max_delta, unsigned int adaptive_norm, _Complex double* u0, _Complex double* g, bool irreversible, bool keep_en_cst, double target_en, unsigned int algorithm, unsigned int algorithm_lyapunov, double starting_time, unsigned int nthreads);
// comparison function for qsort
int compare_double(const void* x, const void* y);
// Jacobian of step
int ns_D_step( double* out, _Complex double* un, _Complex double* un_next, int K1, int K2, int N1, int N2, double nu, double epsilon, double delta, unsigned int algorithm, double adaptive_tolerance, double adaptive_factor, double max_delta, unsigned int adaptive_norm, double L, _Complex double* g, double time, fft_vect fft1, fft_vect fft2, fft_vect ifft, _Complex double* tmp1, _Complex double* tmp2, _Complex double* tmp3, _Complex double* tmp4, _Complex double* tmp5, _Complex double* tmp6, _Complex double* tmp7, _Complex double* tmp8, bool irreversible, bool keep_en_cst, double target_en);
// compute tangent flow
int lyapunov_D_step( double* flow, _Complex double* u, int K1, int K2, int N1, int N2, double nu, double delta, unsigned int algorithm, double L, _Complex double* g, fft_vect fftu1, fft_vect fftu2, fft_vect fftu3, fft_vect fftu4, fft_vect fft1, fft_vect ifft, double* tmp1, double* tmp2, double* tmp3, _Complex double* tmp4, bool irreversible);
// RK 4 algorithm
int lyapunov_D_step_rk4( double* flow, _Complex double* u, int K1, int K2, int N1, int N2, double nu, double delta, double L, _Complex double* g, _Complex double* T, fft_vect fftu1, fft_vect fftu2, fft_vect fftu3, fft_vect fftu4, fft_vect fft1, fft_vect ifft, double* tmp1, double* tmp2, double* tmp3, bool irreversible);
// RK 2 algorithm
int lyapunov_D_step_rk2( double* flow, _Complex double* u, int K1, int K2, int N1, int N2, double nu, double delta, double L, _Complex double* g, _Complex double* T, fft_vect fftu1, fft_vect fftu2, fft_vect fftu3, fft_vect fftu4, fft_vect fft1, fft_vect ifft, double* tmp1, double* tmp2, bool irreversible);
// Right side of equation for tangent flow
int lyapunov_D_rhs( double* out, double* flow, _Complex double* u, int K1, int K2, int N1, int N2, double alpha, double L, _Complex double* g, _Complex double* T, fft_vect fftu1, fft_vect fftu2, fft_vect fftu3, fft_vect fftu4, fft_vect fft1, fft_vect ifft, bool irreversible);
// Compute T from the already computed fourier transforms of u
int lyapunov_T( int N1, int N2, fft_vect fftu1, fft_vect fftu2, fft_vect fftu3, fft_vect fftu4, fft_vect ifft);
// compute derivative of T
int lyapunov_D_T( double* flow, int K1, int K2, int N1, int N2, fft_vect fftu1, fft_vect fftu2, fft_vect fftu3, fft_vect fftu4, fft_vect fft1, fft_vect ifft);
double lyapunov_D_alpha( double* flow, _Complex double* u, int K1, int K2, int N1, int N2, double alpha, double L, _Complex double* g, _Complex double* T, _Complex double* DT);
// get delta_{kx,ky} from a vector delta in which only the values for kx>=0 are stored, as separate real part and imaginary part
_Complex double lyapunov_delta_getval_sym( double* delta, int kx, int ky, int K2);
// compute ffts of u for future use in DT
int lyapunov_fft_u_T( _Complex double* u, int K1, int K2, int N1, int N2, fft_vect fftu1, fft_vect fftu2, fft_vect fftu3, fft_vect fftu4);
int lyapunov_init_tmps( double ** lyapunov, double ** lyapunov_avg, double ** flow, _Complex double ** u, double ** tmp1, double ** tmp2, double ** tmp3, _Complex double ** tmp4, _Complex double ** tmp5, _Complex double ** tmp6, _Complex double ** tmp7, _Complex double ** tmp8, _Complex double ** tmp9, _Complex double ** tmp10, double ** tmp11, fft_vect* fftu1, fft_vect* fftu2, fft_vect* fftu3, fft_vect* fftu4, fft_vect* fft1, fft_vect* ifft, int K1, int K2, int N1, int N2, unsigned int nthreads, unsigned int algorithm, unsigned int algorithm_lyapunov);
// init vectors
int lyapunov_init_tmps(double** lyapunov, double** lyapunov_avg, double ** Du_prod, double ** Du, _Complex double ** u, _Complex double ** prevu, _Complex double ** tmp1, _Complex double ** tmp2, _Complex double ** tmp3, _Complex double ** tmp4, _Complex double ** tmp5, _Complex double ** tmp6, _Complex double ** tmp7, _Complex double ** tmp8, _Complex double ** tmp9, double** tmp10, fft_vect* fft1, fft_vect* fft2, fft_vect* ifft, int K1, int K2, int N1, int N2, unsigned int nthreads, unsigned int algorithm);
// release vectors
int lyapunov_free_tmps(double* lyapunov, double* lyapunov_avg, double* Du_prod, double* Du, _Complex double* u, _Complex double* prevu, _Complex double* tmp1, _Complex double* tmp2, _Complex double* tmp3, _Complex double* tmp4, _Complex double* tmp5, _Complex double* tmp6, _Complex double* tmp7, _Complex double* tmp8, _Complex double* tmp9, double* tmp10, fft_vect fft1, fft_vect fft2, fft_vect ifft, unsigned int algorithm);
int lyapunov_free_tmps( double * lyapunov, double * lyapunov_avg, double * flow, _Complex double * u, double * tmp1, double * tmp2, double * tmp3, _Complex double * tmp4, _Complex double * tmp5, _Complex double * tmp6, _Complex double * tmp7, _Complex double * tmp8, _Complex double * tmp9, _Complex double * tmp10, double * tmp11, fft_vect fftu1, fft_vect fftu2, fft_vect fftu3, fft_vect fftu4, fft_vect fft1, fft_vect ifft, unsigned int algorithm, unsigned int algorithm_lyapunov);
#endif