两类激波捕捉格式的性能分析

于 剑; 阎 超

两类激波捕捉格式的性能分析

于剑,
阎超

北京航空航天大学航空科学与工程学院, 北京 100191

基金项目: 国家973计划资助项目(2009CB724104)

详细信息

作者简介:
于剑(1984-),男,山东济宁人,博士生,yujian@ase.buaa.edu.cn.

中图分类号: V 211.3
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- 被引次数: 0
出版历程
- 收稿日期: 2008-12-30
- 网络出版日期: 2010-01-31

On the performance of two shock-capturing schemes

Yu Jian,
Yan Chao

School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 考虑了两类典型的激波捕捉格式:特征形式的MUSCL(Monotone Upstream-centred Schemes for Conservation Laws)格式和WENO (Weighted Essentially Non-Oscillatory)格式.MUSCL格式在作特征变换时使用了局部线性化的思想,并且针对波系的性质施加相应的限制器;通过逐维重构实现有限体积法的WENO格式.针对一维、二维和三维Euler系统进行数值实验.在一维和二维的情况下,特征形式的MUSCL格式在接触间断的捕捉上具有较明显的优势,而对于激波的捕捉则差别不大.对于三维问题则是WENO格式对流场的分辨更精细.最后对上述结果给出解释,并且提出了可能的改进方法.
- 计算流体力学 /
- 有限体积法 /
- 特征变量 /
- 加权本质无振荡格式
Abstract: Two shock-capturing schemes were considered: characteristic-based MUSCL (monotone upstream-centred schemes for conservation laws) scheme and WENO (weighted essentially non-oscillatory) scheme. Local linearization was employed when performing characteristic transformation, and limiters were applied according to the characteristics of waves; A dimension by dimension reconstruction was used to obtain truly accurate finite volume WENO scheme. Numerical experiments were carried out on one-, two- and three-dimensional Euler systems. The results show with one- and two-dimensional examples that characteristic-based MUSCL scheme performs better on capturing contact discontinuities, and shows little difference from WENO scheme on shocks. For three-dimensional problems, a finer resolution of complex flow feature can be obtained by WENO scheme. Explanations as well as possible improvements are given.
- computational fluid dynamics /
- finite volume scheme /
- characteristic variables /
- weighted essentially non-oscillatory scheme

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参考文献(1)

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