| ALE计算中基于声速分布的网格优化技术 |
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| 引用本文： | 戴自换. ALE计算中基于声速分布的网格优化技术[J]. 计算物理, 2019, 36(1): 15-24. DOI: 10.19596/j.cnki.1001-246x.7782 |
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| 作者姓名： | 戴自换 |
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| 作者单位： | 北京应用物理与计算数学研究所,邓稼先创新研究中心,北京 100088 |
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| 基金项目： | 国家自然科学基金（91330107，11671049）、中国工程物理研究院科学技术发展基金（2011A0202012）资助项目 |
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| 摘 要： | 基于声速分布，提出一种拉氏流体力学计算中大变形网格优化的数值技术.该方法不但可以优化网格的几何形状且可以提高拉氏流体计算的时间步长.介绍基于声速分布的网格松弛泛函、修正梯度流方程的推导、离散和求解方法，启动/终止网格优化过程的条件，及基于这种网格优化方法的ALE算法.给出Rayleigh-Taylor不稳定性问题等数值算例，用以证明该方法的有效性.
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| 关 键 词： | 声速 网格优化 ALE计算 |
| 收稿时间： | 2017-10-20 |
| 修稿时间： | 2018-01-18 |
A Sound Speed-Based Rezoning Strategy for ALE Methods |
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| DAI Zihuan. A Sound Speed-Based Rezoning Strategy for ALE Methods[J]. Chinese Journal of Computational Physics, 2019, 36(1): 15-24. DOI: 10.19596/j.cnki.1001-246x.7782 |
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| Authors: | DAI Zihuan |
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| Affiliation: | Deng Jiaxian Research Center, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | A sound speed distribution-based rezoning strategy is introduced for optimizing deformed Lagrangian grid in arbitrary Lagrangian Eulerian fluid computational methods which includes sound speed distribution-based grid relaxation functional, derivation, discretization and solution of modified gradient flow equations, conditions for starting/terminating grid optimizing procession based on subzonal time step, and algorithm of ALE method based on the new rezoning strategy. Advantage of the method is that it not only optimizes geometry form of grid but also improves time step of Lagrangian hydrodynamic computation. Numerical examples which include ALE calculations of Rayleigh-Taylor instability problem are given to show effectiveness of the strategy. |
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| Keywords: | sound speed grid optimization ALE |
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