基于界面捕捉的三维多介质辐射流体力学方程MMALE计算方法

doi:10.19596/j.cnki.1001-246x.7599

计算物理 ›› 2018, Vol. 35 ›› Issue (2): 127-137.DOI: 10.19596/j.cnki.1001-246x.7599

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基于界面捕捉的三维多介质辐射流体力学方程MMALE计算方法

郭少冬, 贾祖朋, 熊俊, 周海兵

北京应用物理与计算数学研究所, 北京 100094

收稿日期:2016-12-06 修回日期:2017-03-16 出版日期:2018-03-25 发布日期:2018-03-25
作者简介:郭少冬(1982-),男,博士,副研究员,从事流体力学数值模拟研究,E-mail:guo_shaodong@iapcm.ac.cn
基金资助:
国家自然科学基金（11205016）及中国工程物理研究院科学技术发展基金（2014B0202031）资助项目

MMALE Method Based on Interface Capture for Three-Dimensional Multi-Material Radiation Hydrodynamics Equation

GUO Shaodong, JIA Zupeng, XIONG Jun, ZHOU Haibing

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Received:2016-12-06 Revised:2017-03-16 Online:2018-03-25 Published:2018-03-25

摘要/Abstract

摘要： 针对界面重构产生的混合介质网格，建立基于能量守恒的子网格封闭模型，给出基于混合介质网格上的三维扩散方程求解方法.在此基础上，结合界面重构和流体力学方程MMALE （multi-material arbitrary Lagrangian-Eulerian）算法，给出一种针对三维辐射流体力学的MMALE计算方法.采用解析解算例，验证算法的正确性和精度.通过对典型辐射驱动问题的模拟，展示方法的健壮性.

关键词: 多介质, 辐射流体力学, MMALE, 混合介质网格, 界面重构

Abstract: Mixed cells are introduced in multi-material arbitrary Lagrangian-Eulerian (MMALE) method to capture material interfaces. An energy-preserving closure model on mixed cells for diffusion equation is proposed. Based on closure model, a method for coupling multiple material radiation diffusion simulation and hydrodynamics MMALE simulation is proposed. Numerical experiment with analytical solution shows accuracy of the method for diffusion equation. Results of Sedov and spherical implosion problems show that the method is effective and robust. Comparisons with traditional Lagrangian method prove advantages of the method.

Key words: multiple materials, radiation hydrodynamics, MMALE, mixed cell, interface reconstruction

中图分类号:

郭少冬, 贾祖朋, 熊俊, 周海兵. 基于界面捕捉的三维多介质辐射流体力学方程MMALE计算方法[J]. 计算物理, 2018, 35(2): 127-137.

GUO Shaodong, JIA Zupeng, XIONG Jun, ZHOU Haibing. MMALE Method Based on Interface Capture for Three-Dimensional Multi-Material Radiation Hydrodynamics Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 35(2): 127-137.

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基于界面捕捉的三维多介质辐射流体力学方程MMALE计算方法

MMALE Method Based on Interface Capture for Three-Dimensional Multi-Material Radiation Hydrodynamics Equation

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