求解欧拉方程的基于非结构重叠网格的中心间断伽辽金法
首发时间:2019-03-14
摘要:中心间断伽辽金方法是一类高阶的数值算法,主要用于求解守恒律方程。然而,结构网格上的中心间断伽辽金方法只能用于求解简单区域上的问题。基于已有的工作,本文应用非结构重叠网格的上的中心间断伽辽金方法,进一步对复杂区域上的欧拉方程问题进行了数值计算。通过求解欧拉方程的数值算例,本文验证了非结构网格上的中心间断伽辽金方法的有效性。
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Central discontinuous Galerkin method on unstructured overlapping meshes for Euler equations
Abstract:Central discontinuous Galerkin (CDG) method is a kind of high order numerical method for solving conservation laws. However, the CDG methods on structured meshesare limited for solving problems with simple computational domain. Based on the previous work on CDG methods on unstructured overlapping mesh, the existing CDG method is applied to Euler equations with more complex domain. The numerical experiments show that the CDG method on overlapping meshes is valid for Euler equations.
Keywords: Euler equations central discontinuous Galerkin unstructured overlapping meshes
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求解欧拉方程的基于非结构重叠网格的中心间断伽辽金法
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