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. |
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