A second order adaptive multiresolution local time scheme for evolutionary partial differential equations with localised physical phenomena
Müller Lopes1; Margarete Domingues1; Odim Mendes1; Kai Schneider2
1 Brazilian Institute for Space Research; 2 Aix-Marseille Université
Resumo
Techniques for numerical simulations of localized complex physical phenomena may require a lot of CPU time, making the solution unavailable in a reasonable time. To improve it adaptive methods are used. They consist in using an automatic mesh adapted to the solution locally. To improve this challenge when explicit method are used in time, a local second order in time approach is proposed. It consist in using for each cell an individual time step proportional to its refinement, respecting the CFL condition locally. For that synchronization steps must be done. Some verification tests on CARMEN code are presented, where we show that the CPU time and precision of the solutions are improved compared to usual schemes.
Palavras-chave: Numerical Simulation and Optimisation; Fluidynamics; Geophysical Nonlinear Dynamics