高阶精度CE/SE算法及其应用

计算物理 ›› 2009, Vol. 26 ›› Issue (2): 211-220.

高阶精度CE/SE算法及其应用

张德良¹, 王景焘², 王刚²

1. 中国科学院力学研究所, 北京 100190;
2. 北京大学工学院, 北京 100871

收稿日期:2007-10-17 修回日期:2008-02-22 出版日期:2009-03-25 发布日期:2009-03-25
作者简介:张德良(1939-),男,江苏无锡,研究员,从事流体力学、计算力学及爆炸力学方面的研究.
基金资助:
国家自然科学基金(20490206)资助项目

High-order CE/SE Method and Applications

ZHANG Deliang¹, WANG Jingtao², WANG Gang²

1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. College of Engineering, Peking University, Beijing 100871, China

Received:2007-10-17 Revised:2008-02-22 Online:2009-03-25 Published:2009-03-25

摘要/Abstract

摘要： 对时-空守恒元解元算法(CE/SE)的网格设置做较大改进,提出一种新的六面体解元和元定义;同时在解元中对物理量进行高阶Taylor展开,给出一种在时间和空间上均具有高阶精度CE/SE算法.在此基础上,把新型的高阶精度CE/SE算法推广应用于高速流动捕捉激波间断、气相化学反应流动、计及固体动态效应的流体-弹塑性流动和非稳态多相不可压缩粘性流动中.数值实践表明,提出的新型网格结构上的高阶精度CE/SE算法具有算法简单、计算精度高、计算效率和计算效果好的优点,并大大改进和拓展了CE/SE算法的应用范围.

关键词: CE/SE算法, 激波捕捉技术, 化学反应流动, 流体-弹塑性流动, 多相不可压缩粘性流动

Abstract: Space-time conservation element and solution element(CE/SE) method with second order accuracy is modified on hexahedral grids. High-order accuracy in space and time is obtained by expanding variables in SEs with high order.CE/SE method is used to capture shock waves in chemical reaction flows,elastic-plastic flows and unsteady multi-phase incompressible flows.Numerical results are compared with experimental and theoretical results of classical examples.It is indicated that the method is easy to implement, accurate and efficient.Application of high order CE/SE method is extended.

Key words: CE/SE method, shock wave capture, chemical reaction flow, elastic-plastic flow, multi-phase incompressible flow

中图分类号:

O381
O241.82

张德良, 王景焘, 王刚. 高阶精度CE/SE算法及其应用[J]. 计算物理, 2009, 26(2): 211-220.

ZHANG Deliang, WANG Jingtao, WANG Gang. High-order CE/SE Method and Applications[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(2): 211-220.