求解一维欧拉方程的快速中心间断迦辽金法
首发时间:2015-09-15
摘要:中心间断伽辽金法是求解守恒律的一种高阶数值算法,其定义在两套重叠的网格上,计算两组近似解,以避免计算单元界面上的数值通量,但计算费用较高。因此本文基于L2投影,提出一种快速中心间断伽辽金法,并用于求解欧拉方程。数值算例验证了该方法的精度和有效性。
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Fast central discontinuous Galerkin methods solving one-dimensional Eular equations
Abstract:Central discontinuous Galerkin (CDG) methods are a family of high order numerical methods for solving conservation laws, which evolve two sets of numerical solutions defined on overlapping meshes and do not calculate the numerical flux at element interfaces. However, evolving two sets of numerical solutions makes the CDG method time-consuming. This paper presents a fast CDG method based on L2 projection, which is used to solve Euler equations. Numerical examples are presented to demonstrate the accuracy and efficiency of the proposed method.
Keywords: Euler equations central discontinuous Galerkin method L2 orthogonal projection
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No.4654222109041514****
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