Special Session 36: 

Numerical Study of Nonlinear Wave Equation Using Lattice Boltzmann Method

Hidekazu Tsuji
Kyushu University
Japan
Co-Author(s):    Hidekazu TSUJI
Abstract:
More efficient numerical scheme of nonlinear wave equation is required especially for solving two-dimensional problem (and sometimes with complex boundary). From this point of view, application of the lattice Boltzmann method, which has been used for solving some equations including Navier-Stokes equation, is promising. As a preliminary study, a new scheme for solving Burgers equation with low dissipation is proposed. Its application to shock problem shows the preferable results compared to the standard scheme.