1st order Euler time integration scheme More...
#include "resources/Scripts/types/types.h"
Include dependency graph for euler.cl:
Functions | |
| __kernel void | predictor (__global vec *r, __global vec *u, __global vec *dudt, __global float *rho, __global float *drhodt, __global vec *r_in, __global vec *u_in, __global vec *dudt_in, __global float *rho_in, __global float *drhodt_in, unsigned int N) |
| Adams-Bashforth time integration scheme predictor stage. | |
| __kernel void | corrector (__global int *imove, __global unsigned int *iset, __global vec *r, __global vec *u, __global vec *dudt, __global float *rho, __global float *drhodt, unsigned int N, float dt) |
| 1st orderv Euler time integration scheme corrector stage | |
Detailed Description
1st order Euler time integration scheme
Time integration is based in the following 1st order integration scheme:
- \( \mathbf{u}_{n+1} = \mathbf{u}_{n} + \Delta t \left. \frac{\mathrm{d}\mathbf{u}}{\mathrm{d}t} \right\vert_{n} \)
- \( \mathbf{r}_{n+1} = \mathbf{r}_{n} + \Delta t \, \mathbf{u}_{n} + \frac{\Delta t^2}{2} \left. \frac{\mathrm{d}\mathbf{u}}{\mathrm{d}t} \right\vert_{n} \)
- \( \rho_{n+1} = \rho_{n} + \Delta t \left. \frac{\mathrm{d}\rho}{\mathrm{d}t} \right\vert_{n} \)
