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高阶精度CE/SE算法及其应用
引用本文: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
作者姓名:张德良  王景焘  王刚
作者单位:中国科学院力学研究所,北京,100190;北京大学工学院,北京,100871
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  流体一弹塑性流动  多相不可压缩粘性流动
收稿时间:2007-10-17
修稿时间:2008-02-22

High-order CE/SE Method and Applications
ZHANG Deliang,WANG Jingtao,WANG Gang. High-order CE/SE Method and Applications[J]. Chinese Journal of Computational Physics, 2009, 26(2): 211-220
Authors:ZHANG Deliang  WANG Jingtao  WANG Gang
Affiliation:1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;2. College of Engineering, Peking University, Beijing 100871, China
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, a...
Keywords:CE/SE method  shock wave capture  chemical reaction flow  elastic-plastic flow  multi-phase incompressible flow  
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