一维平面冲击波的移动网格算法

乔伟; 赵锋

doi:10.11858/gywlxb.2017.05.015

一维平面冲击波的移动网格算法

doi: 10.11858/gywlxb.2017.05.015

乔伟,
赵锋^*, ,

中国工程物理研究院流体物理研究所，四川绵阳 621999

基金项目:

国家自然科学基金 11272296

详细信息

作者简介:
乔伟(1991—)，男，硕士研究生，主要从事爆炸力学等方面研究.E-mail:messiqiaowei@163.com

通讯作者:
赵锋(1961—)，男，博士，研究员，主要从事爆炸力学等方面研究.E-mail:ifpzl@163.com

中图分类号: O411.3
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出版历程
- 收稿日期: 2016-12-28
- 修回日期: 2017-01-20

Moving Meshes of One Dimensional Slab Symmetry Shock Waves

QIAO Wei,
ZHAO Feng^{*
, ,}

Institute of Fluid Physics, CAEP, Mianyang 621999, China

摘要

摘要: 移动网格方法可以有效提高冲击波阵面计算的分辨率，多年来一直受到数值计算研究领域的关注。针对冲击波在凝聚介质中传播的数值模拟，利用变分原理构建了基于移动网格的自适应算法。移动网格的生成依赖包含控制函数的欧拉方程的迭代计算，通过控制方程从物理域到计算域的映射来求解物理量，并研究了不同移动网格迭代方法对计算效率的影响。数值结果显示了该算法的有效性。
- 移动网格 /
- 迭代方法 /
- 数值计算 /
- 控制函数
Abstract: Recently, the moving mesh method has received plenty of attention in the numerical computation areas owing to its capability to improve effectively the calculation precision on the shock waveplane.This paper describes a moving mesh method that simulates the shock wave's propagation in condensed matter based on the variation principle.The generation of the moving meshes consists of the iterative computation of the Euler-Lagrange equation and the governing equation's mapping from the physical plane to the computational plane.We have studied the effect of computational efficiency using different iterative methods.Finally, the numerical results show the validity of the arithmetic.
- moving mesh /
- iterative methods /
- numerical computation /
- governing functions

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图 1 μs时速度u的空间剖面

Figure 1. Spatial distribution of velocity at 1.04 μs

下载: 全尺寸图片幻灯片

图 2 1.04 μs时网格单元的空间剖面

Figure 2. Spatial distribution of mass at 1.04 μs

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图 3 1.10 μs时速度u的空间剖面

Figure 3. Spatial distribution of velocity at 1.10 μs

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图 4 1.10 μs时网格单元的空间剖面

Figure 4. Spatial distribution of mass at 1.10 μs

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图 5 不同时间网格单元分布情况

Figure 5. Spatial distribution of mass at different times

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图 6 1.10 μs时网格单元分布情况

Figure 6. Spatial distribution of velocity at 1.10 μs

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表 1 两种迭代方法的比较

Table 1. Comparison of two iterative methods

Iterative method D t/(ms)

Brackbill 2 667 109.375

Jacobi 257 15.625

下载: 导出CSV

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