相容拉氏方法中的ADRS近似Riemann解算器  

An ADRS Approximated Riemann Solver in Compatible Lagrangian Method

作　　者：刘妍[1] 茅德康[2] LIU Yan;MAO Dekang(Institute of Applied Physics and Computational Mathematics,Beijing 100094,China;Department of Mathematics,Shanghai University,Shanghai 200444,China)

机构地区：[1]北京应用物理与计算数学研究所,北京100094 [2]上海大学数学系,上海200444

出　　处：《计算物理》2020年第2期140-152,共13页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(11572052);国家自然科学基金联合基金重点项目(U1630249)资助。

摘　　要：基于可压缩多介质流动问题,分析AC(acoustic),MFCAV(multi fluid channel on averaged volume)和HLLC等近似Riemann解算器的优缺点,通过加权组合的方式设计一种自适应近似Riemann解算器ADRS(adaptive Riemann solver),详细介绍加权组合的自适应选取原则.将ADRS写成AC解算器的修正形式应用于健壮性好的相容中心型拉氏方法.给出Taylor Green vortex稳态流问题的误差分析等数值算例.Analyzing advantages and disadvantages of three Riemann solvers of AC(Acoustic), MFCAV(Multi Fluid Channel on Averaged Volume) and HLLC for compressible multimaiterial fluid problems, we constructed an adaptive Riemann solver(ADRS) as a weighted average of three solvers. Rule for designing weights is discussed in detail. ADRS Riemann solver is applied to a compatible cell-centered Lagrangian method which resisting spurious mesh deformation by viewing MFCAV as a modification of AC solver. Numerical examples include Taylor Green vortex problem are given to show efficiency of the method.

关 键 词：中心型拉氏方法 交错型拉氏方法 近似Riemann解算器 

分 类 号：O241[理学—计算数学]