高压物理学报

单模态RM不稳定性的二维和三维数值计算研究

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王涛 ¹^,² , 柏劲松 ¹ , 李平 ¹ , 陶钢 ² , 姜洋 ¹ , 钟敏 ¹

高压物理学报 | 2013,27(2): 277-286

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高压物理学报 2013 , 27 (2) : 277 -286

单模态RM不稳定性的二维和三维数值计算研究

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王涛¹^,², 柏劲松¹, 李平¹, 陶钢², 姜洋¹, 钟敏¹

作者信息

^1.中国工程物理研究院流体物理研究所，四川绵阳　621900

^2.南京理工大学能源与动力工程学院，江苏南京　210094

Two and Three Dimensional Numerical Investigations of the Single-Mode Richtmyer-Meshkov Instability

Tao WANG¹^,², Jin-Song BAI¹, Ping LI¹, Gang TAO², Yang JIANG¹, Min ZHONG¹

Affiliations

^1.Institute of Fluid Physics, CAEP, Mianyang 621900, China

^2.School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

WANG Tao (1979—), male, master, major in computational fluid dynamics. E-mail: wtaoxp@21cn.com

出版时间: 2013-04-15

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摘要

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发展了可用于可压缩多介质粘性流体动力学问题的数值模拟方法和代码MVPPM（Multi-Viscous-Fluid Piecewise Parabolic Method）。利用MVPPM方法对多个具有不同初始扰动振幅和波长的二维和三维单模态Richtmyer-Meshkov（RM）不稳定性模型进行了数值计算，并和理论模型的计算结果进行了比较。结果显示，扰动界面的发展与扰动的初始条件密切相关。无论二维还是三维情况，当初始扰动强度较小的时候，数值计算的扰动振幅及增长率和理论模型的计算结果一致。对于具有相同初始扰动的情况，三维数值计算结果在线性段与二维计算结果相同，但是在非线性段比二维结果大，说明非线性和三维效应在RM不稳定性发展过程中起着重要作用。

关键词

MVPPM（Multi-Viscous-Fluid Piecewise Parabolic Method）方法 / 单模态Richtmyer-Meshkov不稳定性 / 非线性

Abstract

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A high precision numerical algorithm MVPPM (multi-viscous-fluid piecewise parabolic method) is proposed and applied to the multi-viscous-fluid dynamics problems. Several two and three dimensional single-mode Richtmyer-Meshkov instability models with different amplitude and wavelength are numerically simulated by this method. Comparisons show that the evolving of interface is highly sensitive to the initial conditions of perturbation. Both two and three dimensional calculated amplitudes and growth rates of perturbed interface are consistent with the predictions of theoretical models, while the strength of initial perturbation is small. The three dimensional numerical results are identical with the two dimensional ones at the linear stage and larger than the two dimensional ones at the nonlinear stage for the perturbation with the same wavelength and amplitude. Therefore the effects of nonlinearity and three dimensions play a dominant role in the development of Richtmyer-Meshkov instability.

Key words

multi-viscous-fluid piecewise parabolic method / single-mode Richtmyer-Meshkov instability / nonlinearity

引用本文

王涛, 柏劲松, 李平, 陶钢, 姜洋, 钟敏. 单模态RM不稳定性的二维和三维数值计算研究. 高压物理学报, 2013 , 27 (2) : 277 -286 .

Tao WANG, Jin-Song BAI, Ping LI, Gang TAO, Yang JIANG, Min ZHONG. Two and Three Dimensional Numerical Investigations of the Single-Mode Richtmyer-Meshkov Instability[J]. Chinese Journal of High Pressure Physics, 2013 , 27 (2) : 277 -286 .

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2013年第27卷第2期

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接收时间：2010-12-02
首发时间：2026-11-05
出版时间：2013-04-15

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收稿日期：2010-12-02
修回日期：2011-05-25

基金

National Natural Science Foundation of China(11202195; 11072228; 11002129)

作者信息

^1.中国工程物理研究院流体物理研究所，四川绵阳　621900

^2.南京理工大学能源与动力工程学院，江苏南京　210094

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2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

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