Simulations of Compressible Two-Medium Flow by Runge-Kutta Discontinuous Galerkin Methods with the Ghost Fluid Method

查看全文 作　　者：Jianxian [1]Qiu;Tiegang [2,3]Liu;Boo Cheong [4]Khoo

机构地区：[1]Department of Mathematics,Nanjing University,Nanjing,Jiangsu 210093,China;[2]Institute of High Performance Computing,♯01−01 The Capricorn,Singapore Science Park II,Singapore 117528,Singapore;[3]Department of Mathematics,Beijing University of Aeronautics and Astronautics,Beijing,China;[4]Department of Mechanical Engineering,National University of Singapore,Singapore 119260,Singapore./Singapore-MIT Alliance,4 Engineering Drive 3,National University of Singapore,Singapore 117576,Singapore.

出　　处：《Communications in Computational Physics》索引2008年第3卷第2期,共26页

基　　金：NSFC grant 10671091;Nanjing University Talent Development Foundation and SRF for ROCS,SEM.Additional support was provided by NUS Research Project R-265-000-118-112 while he was in residence at the Department of Mechanical Engineering,National University of Singapore,Singapore 119260. 摘　　要：The original ghost fluid method (GFM) developed in [13] and the modifiedGFM (MGFM) in [26] have provided a simple and yet flexible way to treat twomediumflow problems. The original GFM and MGFM make the material interface'invisible' during computations and the calculations are carried out as for a singlemedium such that its extension to multi-dimensions becomes fairly straightforward.The Runge-Kutta discontinuous Galerkin (RKDG) method for solving hyperbolic conservationlaws is a high order accurate finite element method employing the usefulfeatures from high resolution finite volume schemes, such as the exact or approximateRiemann solvers, TVD Runge-Kutta time discretizations, and limiters. In this paper,we investigate using RKDG finite element methods for two-medium flow simulationsin one and two dimensions in which the moving material interfaces is treated via nonconservativemethods based on the original GFM and MGFM. Numerical results forboth gas-gas and gas-water flows are provided to show the characteristic behaviors ofthese combinations. 关键词：Runge-Kutta discontinuous Galerkin method WENO scheme ghost fluid method approximate Riemann problem solver.

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Simulations of Compressible Two-Medium Flow by Runge-Kutta Discontinuous Galerkin Methods with the Ghost Fluid Method

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