基于子网格边界近似Riemann解的人为粘性方法

翟传磊; 勇珩

doi:10.3879/j.issn.1000-0887.2015.10.004

基于子网格边界近似Riemann解的人为粘性方法

doi: 10.3879/j.issn.1000-0887.2015.10.004

翟传磊,
勇珩

翟传磊(1978—),男,河南人,副研究员,硕士(通讯作者. Tel: +86-10-59872402; E-mail: zhai_chuanlei@iapcm.ac.cn).

基金项目: 国家高技术研究发展计划(863计划)(2012A01303);国家自然科学基金(91130002;11371065);中国工程物理研究院科学技术发展基金(2012A0202010)

详细信息

作者简介:
翟传磊(1978—),男,河南人,副研究员,硕士

中图分类号: O341.82
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- 被引次数: 0
出版历程
- 收稿日期: 2014-12-25
- 修回日期: 2015-09-07
- 刊出日期: 2015-10-15

An Artificial Viscosity Based on the Subcell-Edged Approximate Riemann Solver

Institute of Applied Physics and Computational Mathematics, Beijing 100094, P.R.China

Funds: The National High-tech R&D Program of China(863 Program)(2012A01303); The National Natural Science Foundation of China(91130002;11371065)

摘要

摘要: 在交错网格型Lagrange(拉格朗日)流体力学算法中，通常采用人为粘性捕捉激波，人为粘性的好坏对于计算结果至关重要.研究了一种基于子网格边界处近似Riemann解的新型人为粘性.新人为粘性能够满足动量守恒和熵不等式.利用子网格边界速度差中引入的限制器，新人为粘性能够区分激波和等熵压缩，并能满足球对称问题中的波面不变性.新人为粘性在典型模型数值模拟及惯性约束聚变黑腔整体数值模拟中取得了较好的结果.
- Lagrange流体力学 /
- 人为粘性 /
- 近似Riemann解 /
- 大长宽比网格 /
- 惯性约束聚变
Abstract: The artificial viscosity method is generally used to capture shock waves in the Lagrangian hydrodynamics algorithms, and the properties of the artificial viscosity influence the simulation results essentially. A new artificial viscosity based on the subcell-edged approximate Riemann solver was presented. This new method was prove to have the merits of momentum conservation and satisfaction of entropy inequality. With the introduced limiters for the differences of velocities on the subcell edges, the presented artificial viscosity is able to distinguish the shock wave from the isoentropic compression and satisfy the wave front invariance in the spherical symmetric problems. Various numerical examples demonstrate the robustness and effectiveness of the new artificial viscosity.
- Lagrangian hydrodynamics /
- artificial viscosity method /
- approximate Riemann solver /
- large aspect ratio grid /
- inertial confinement fusion

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参考文献(15)

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