ALE框架下几种不同Godunov型格式的数值比较

计算物理 ›› 2007, Vol. 24 ›› Issue (5): 537-542.

ALE框架下几种不同Godunov型格式的数值比较

田保林, 申卫东, 刘妍, 程军波, 王双虎

北京应用物理与计算数学研究所, 北京 100088

收稿日期:2006-04-19 修回日期:2006-08-15 出版日期:2007-09-25 发布日期:2007-09-25
作者简介:田保林(1975-),男,山东成武,博士,从事计算流体力学方面的研究.
基金资助:
国家973项目(2005CB321700);中物院科技基金(20060648)资助项目

Numerical Study on Several Godunov-type Schemes with ALE Formulation

TIAN Baolin, SHEN Weidong, LIU Yan, CHENG Junbo, WANG Shuanghu

Institute of Applied Physics and Computational Mathematics, Beijing 100088

Received:2006-04-19 Revised:2006-08-15 Online:2007-09-25 Published:2007-09-25

摘要/Abstract

摘要： 给出一种有限体积Godunov型的ALE方法,用于求解多介质大变形的可压缩流动问题.由于方法具有任意的网格移动速度,可在拉氏、欧氏和ALE之间切换,具有较强的适应性.通过数值算例对这3种框架下的数值特性进行了比较研究.同时还研究了几种不同Godunov型格式的数值行为特性,分析比较了它们对激波和接触间断的分辨效果.

关键词: ALE(Arbitrary Lagrangian-Eulerian)方法, Godunov型格式, Riemann解

Abstract: A Godunov-type ALE (Arbitrary Lagrangian-Eulerian) method based on finite volume technique is developed to simulate compressible multimaterial flows with large deformation.The method adapts well to Lagrangian,ALE or Eulerian formulations due to its arbitrary moving speed of meshes.Numerical features are studied in the formulations.Numerical traits of several Godunov-type schemes are studied.Resolutions of scheme for shock and contact are compared.

Key words: arbitrary Lagrangian-Eulerian method, Godunov-type scheme, Riemann solver

中图分类号:

O24l

田保林, 申卫东, 刘妍, 程军波, 王双虎. ALE框架下几种不同Godunov型格式的数值比较[J]. 计算物理, 2007, 24(5): 537-542.

TIAN Baolin, SHEN Weidong, LIU Yan, CHENG Junbo, WANG Shuanghu. Numerical Study on Several Godunov-type Schemes with ALE Formulation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(5): 537-542.

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