Compact Accurately Boundary-Adjusting high-REsolution Technique for fluid dynamicsстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 25 декабря 2013 г.
Аннотация:A novel high-resolution numerical method is presented for one-dimensional hyperbolic
problems based on the extension of the original Upwind Leapfrog scheme to quasi-linear
conservation laws. The method is second-order accurate on non-uniform grids in space
and time, has a very small dispersion error and computational stencil defined within one
space–time cell. For shock-capturing, the scheme is equipped with a conservative nonlinear
correction procedure which is directly based on the maximum principle. Plentiful
numerical examples are provided for linear advection, quasi-linear scalar hyperbolic
conservation laws and gas dynamics and comparisons with other computational methods
in the literature are discussed.