A Compact High Order Space-Time Method for Conservation Laws
作者机构：Department of Computer EngineeringJackson State UniversityJacksonMS 39217USA
出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)
年 卷 期：2011年第9卷第2期
页 面：441-480页
核心收录：
学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学]
主 题：High order method space-time method cell-vertex scheme(CVS) conservation laws
摘 要：This paper presents a novel high-order space-time method for hyperbolic conservation *** important concepts,the staggered space-time mesh of the space-time conservation element/solution element(CE/SE)method and the local discontinuous basis functions of the space-time discontinuous Galerkin(DG)finite element method,are the two key ingredients of the new *** staggered spacetime mesh is constructed using the cell-vertex structure of the underlying spatial *** universal definitions of CEs and SEs are independent of the underlying spatial mesh and thus suitable for arbitrarily unstructured *** solution within each physical time step is updated alternately at the cell level and the vertex *** this solution updating strategy and the DG ingredient,the new scheme here is termed as the discontinuous Galerkin cell-vertex scheme(DG-CVS).The high order of accuracy is achieved by employing high-order Taylor polynomials as the basis functions inside each *** present DG-CVS exhibits many advantageous features such as Riemann-solver-free,high-order accuracy,point-implicitness,compactness,and ease of handling boundary *** numerical tests including the scalar advection equations and compressible Euler equations will demonstrate the performance of the new method.
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