相容拉氏方法中的ADRS近似Riemann解算器

doi:10.19596/j.cnki.1001-246x.8031

计算物理 ›› 2020, Vol. 37 ›› Issue (2): 140-152.DOI: 10.19596/j.cnki.1001-246x.8031

相容拉氏方法中的ADRS近似Riemann解算器

刘妍¹, 茅德康²

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

收稿日期:2018-12-23 修回日期:2019-04-23 出版日期:2020-03-25 发布日期:2020-03-25
作者简介:刘妍(1974-),女,博士,主要从事计算流体力学数值方法研究,E-mail:yan_liu_zh@163.com
基金资助:
国家自然科学基金（11572052）及国家自然科学基金联合基金重点项目（U1630249）资助

An ADRS Approximated Riemann Solver in Compatible Lagrangian Method

LIU Yan¹, MAO Dekang²

1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
2. Department of Mathematics, Shanghai University, Shanghai 200444, China

Received:2018-12-23 Revised:2019-04-23 Online:2020-03-25 Published:2020-03-25

摘要/Abstract

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.

关键词: 中心型拉氏方法, 交错型拉氏方法, 近似Riemann解算器

Abstract: 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.

Key words: cell-centered Lagrangian method, staggered Lagrangian method, approximate Riemann solver

中图分类号:

O241

刘妍, 茅德康. 相容拉氏方法中的ADRS近似Riemann解算器[J]. 计算物理, 2020, 37(2): 140-152.

LIU Yan, MAO Dekang. An ADRS Approximated Riemann Solver in Compatible Lagrangian Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(2): 140-152.

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相容拉氏方法中的ADRS近似Riemann解算器

An ADRS Approximated Riemann Solver in Compatible Lagrangian Method

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