Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework

doi:10.1007/s10483-016-2105-8

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (11): 1571-1586.doi: https://doi.org/10.1007/s10483-016-2105-8

• 论文 • 上一篇

Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework

Zhijun SHEN^1,2, Xiao LI³, Jian REN^1,3

1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2. Center for Applied Physics and Technology, Peking University, Beijing 100071, China;
3. Graduate School, Chinese Academy of Engineering Physics, Beijing 100088, China

收稿日期:2016-01-25 修回日期:2016-05-11 出版日期:2016-11-01 发布日期:2016-11-01
通讯作者: Zhijun SHEN E-mail:shenzhijun@iapcm.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos.11471048 and U1630249),the Foundation of Chinese Academy of Engineering Physics (No.2014A0202010),and the Foundation of Laboratory of Computational Physics (No.9140C690202140C69293)

Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework

Zhijun SHEN^1,2, Xiao LI³, Jian REN^1,3

1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2. Center for Applied Physics and Technology, Peking University, Beijing 100071, China;
3. Graduate School, Chinese Academy of Engineering Physics, Beijing 100088, China

Received:2016-01-25 Revised:2016-05-11 Online:2016-11-01 Published:2016-11-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos.11471048 and U1630249),the Foundation of Chinese Academy of Engineering Physics (No.2014A0202010),and the Foundation of Laboratory of Computational Physics (No.9140C690202140C69293)

摘要/Abstract

摘要：

The study of cylindrically symmetric compressible fluid is interesting from both theoretical and numerical points of view.In this paper,the typical spherical symmetry properties of the numerical schemes are discussed,and an area weighted scheme is extended from a Lagrangian method to an arbitrary Lagrangian and Eulerian (ALE) method.Numerical results are presented to compare three discrete configurations,i.e.,the control volume scheme,the area weighted scheme,and the plane scheme with the addition of a geometrical source.The fact that the singularity arises from the geometrical source term in the plane scheme is illustrated.A suggestion for choosing the discrete formulation is given when the strong shock wave problems are simulated.

关键词: cylindrical geometry, symmetry preservation, unstructured grid, arbitrary Lagrangian and Eulerian (ALE)

Abstract:

Key words: arbitrary Lagrangian and Eulerian (ALE), unstructured grid, cylindrical geometry, symmetry preservation

中图分类号:

Zhijun SHEN, Xiao LI, Jian REN. Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(11): 1571-1586.

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Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework

Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework

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