基于MOF界面重构的多物质ALE方法

计算物理 ›› 2010, Vol. 27 ›› Issue (3): 353-360.

基于MOF界面重构的多物质ALE方法

贾祖朋

北京应用物理与计算数学研究所, 北京 100088

收稿日期:2008-03-23 修回日期:2009-09-15 出版日期:2010-05-25 发布日期:2010-05-25
作者简介:贾祖朋(1967-),湖南慈利,副研究员,从事计算数学和计算流体力学的研究,北京市海淀区丰豪东路2号5室100094.
基金资助:
国家973项目(2005CB321700);国家自然科学基金(10771019,10671025);中国工程物理研究院科学技术基金(2008A0201009);计算物理重点实验室基金(9140C690101070C69)资助项目

A Multi-material Arbitrary Lagrangian-Eulerian Method Based on MOF Interface Reconstruction

JIA Zupeng

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2008-03-23 Revised:2009-09-15 Online:2010-05-25 Published:2010-05-25

摘要/Abstract

摘要： 提出一种基于MOF(Moment-of-Fluid)界面重构的多物质ALE(Arbitrary Lagrangian-Eulerian)方法.流体力学方程组采用相容有限元方法进行空间离散.提出一种新的二维子网格力学模型,用来计算混合网格中的物理量经过一个拉氏步后发生的变化,混合网格内的界面重构采用MOF方法.提出一种精确积分守恒重映方法.给出数值算例,如空气和水的Riemann问题,Dukowicz问题,水中强激波与空气泡相互作用问题等.结果表明,方法具有较高的精度,能够处理物质界面和网格的大变形问题.

关键词: 多物质ALE方法, 相容有限元方法, MOF方法

Abstract: A multi-material arbitrary Lagrangian-Eulerian method is developed.Fluid equations are discretized by a compatible finite element method.A two-dimensional closure model for multi-material cells is presented.It is based on approximate Riemann solver HLLC and isentropic assumption.Interface in mixed cells is constructed by MOF methods.An accurate,conservative integration remapping method is used as mesh is rezoned.Example calculations are presented to show accuracy and robustness of the method.

Key words: multi-material arbitrary Lagranyian-Eulorian method, compatible finite element method, moment-of-fluid method

中图分类号:

O241.82

贾祖朋. 基于MOF界面重构的多物质ALE方法[J]. 计算物理, 2010, 27(3): 353-360.

JIA Zupeng. A Multi-material Arbitrary Lagrangian-Eulerian Method Based on MOF Interface Reconstruction[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(3): 353-360.