Viscous Rayleigh-Taylor instability with and without diffusion effect

doi:10.1007/s10483-017-2169-9

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (2): 263-270.doi: https://doi.org/10.1007/s10483-017-2169-9

Viscous Rayleigh-Taylor instability with and without diffusion effect

Chenyue XIE¹, Jianjun TAO¹, Ji LI²

1. Center for Applied Physics and Technology(CAPT)-MOE Key Laboratory of High Energy Density Physics Simulation(HEDPS), State Key Laboratory for Turbulence and Complex System(SKLTCS), Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China;
2. Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, U. K

收稿日期:2016-03-15 修回日期:2016-09-20 出版日期:2017-02-01 发布日期:2017-02-01
通讯作者: Jianjun TAO,E-mail:jjtao@pku.edu.cn E-mail:jjtao@pku.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos.11225209,11490553,and 11221062)

Viscous Rayleigh-Taylor instability with and without diffusion effect

Chenyue XIE¹, Jianjun TAO¹, Ji LI²

1. Center for Applied Physics and Technology(CAPT)-MOE Key Laboratory of High Energy Density Physics Simulation(HEDPS), State Key Laboratory for Turbulence and Complex System(SKLTCS), Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China;
2. Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, U. K

Received:2016-03-15 Revised:2016-09-20 Online:2017-02-01 Published:2017-02-01
Contact: Jianjun TAO E-mail:jjtao@pku.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos.11225209,11490553,and 11221062)

摘要/Abstract

摘要：

The approximate but analytical solution of the viscous Rayleigh-Taylor instability(RTI) has been widely used recently in theoretical and numerical investigations due to its clarity. In this paper, a modified analytical solution of the growth rate for the viscous RTI of incompressible fluids is obtained based on an approximate method. Its accuracy is verified numerically to be significantly improved in comparison with the previous one in the whole wave number range for different viscosity ratios and Atwood numbers. Furthermore, this solution is expanded for viscous RTI including the concentration-diffusion effect.

关键词: dispersion relation, diffusion effect, viscous Rayleigh-Taylor instability(RTI)

Abstract:

Key words: dispersion relation, diffusion effect, viscous Rayleigh-Taylor instability(RTI)

中图分类号:

O357.1

Chenyue XIE, Jianjun TAO, Ji LI. Viscous Rayleigh-Taylor instability with and without diffusion effect[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(2): 263-270.

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Viscous Rayleigh-Taylor instability with and without diffusion effect

Viscous Rayleigh-Taylor instability with and without diffusion effect

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