Richtmyer-Meshkov instability in a rarefied gas, results of continuum and kinetic numerical simulations

A. N. Kudryavtsev, D. B. Epstein

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

1 Citation (Scopus)

Abstract

The Richtmyer-Meshkov instability in a rarefied gas is numerically simulated using both continuum and kinetic approaches. Continuum simulations based on the Navier-Stokes equations are carried out for different Mach numbers of the incident shock wave Ms = 1.5, 4.0, 8.0; Reynolds numbers Re = 50÷1000 and density ratios across the contact discontinuity ρ21 = 2, 3, and 10. The evolution of disturbance amplitude as a function of the problem parameters is investigated. It is obtained that the growth of disturbances is suppressed if the Reynolds number decreases below some critical value. Kinetic simulations are performed by directly solving the Bhatnagar-Gross-Krook (BGK) kinetic equation in the multidimensional phase space. The development of the Richtmyer-Meshkov instability is reproduced with the kinetic approach and close agreement between the results of continuum and kinetic simulations is observed.

Original languageEnglish
Title of host publicationHigh Energy Processes in Condensed Matter, HEPCM 2019
Subtitle of host publicationProceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin
EditorsVasily Fomin
PublisherAmerican Institute of Physics Inc.
Number of pages6
ISBN (Electronic)9780735418653
DOIs
Publication statusPublished - 26 Jul 2019
Event26th All-Russian Conference on High Energy Processes in Condensed Matter: Dedicated to the 150th Anniversary of the Birth of S.A. Chaplygin, HEPCM 2019 - Novosibirsk, Russian Federation
Duration: 3 Apr 20195 Apr 2019

Publication series

NameAIP Conference Proceedings
Volume2125
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference26th All-Russian Conference on High Energy Processes in Condensed Matter: Dedicated to the 150th Anniversary of the Birth of S.A. Chaplygin, HEPCM 2019
CountryRussian Federation
CityNovosibirsk
Period03.04.201905.04.2019

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