A new high-order discontinuous Galerkin spectral finite element method   for Lagrangian gas dynamics in two-dimensions

doi:10.1016/j.jcp.2010.12.023

CORC > 北京大学 > 工学院

	A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions
	Jia, Zupeng ; Zhang, Shudao
刊名	计算物理学杂志
	2011
关键词	Cell-centered Lagrangian scheme High-order schemes Runge-Kutta discontinuous Galerkin method Geometrical conservation law HWENO reconstruction Compressible Euler equations COMPRESSIBLE EULER EQUATIONS SHOCK-CAPTURING SCHEMES CONSERVATION-LAWS EFFICIENT IMPLEMENTATION ARTIFICIAL VISCOSITY UNSTRUCTURED MESHES COMPUTING METHOD FLOW PROBLEMS SYSTEMS HYDRODYNAMICS
DOI	10.1016/j.jcp.2010.12.023
英文摘要	This paper presents a new high-order cell-centered Lagrangian scheme for two-dimensional compressible flow. The scheme uses a fully Lagrangian form of the gas dynamics equations, which is a weakly hyperbolic system of conservation laws. The system of equations is discretized in the Lagrangian space by discontinuous Galerkin method using a spectral basis. The vertex velocities and the numerical fluxes through the cell interfaces are computed consistently in the Eulerian space by virtue of an improved nodal solver. The nodal solver uses the HLLC approximate Riemann solver to compute the velocities of the vertex. The time marching is implemented by a class of TVD Runge-Kutta type methods. A new HWENO (Hermite WENO) reconstruction algorithm is developed and used as limiters for RKDG methods to maintain compactness of RKDG methods. The scheme is conservative for the mass, momentum and total energy. It can maintain high-order accuracy both in space and time, obey the geometrical conservation law, and achieve at least second order accuracy on quadrilateral meshes. Results of some numerical tests are presented to demonstrate the accuracy and the robustness of the scheme. (C) 2010 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000288415200009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 9; ARTICLE; 7; 2496-2522; 230
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/239666]
专题	工学院
推荐引用方式 GB/T 7714	Jia, Zupeng,Zhang, Shudao. A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions[J]. 计算物理学杂志,2011.
APA	Jia, Zupeng,&Zhang, Shudao.(2011).A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions.计算物理学杂志.
MLA	Jia, Zupeng,et al."A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions".计算物理学杂志 (2011).