Numerical investigation of single-mode Richtmyer-Meshkov instability

Nicholas Mueschke, Wayne N. Kraft, Odion Dibua, Malcolm J. Andrews, Jeffrey W. Jacobs

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The Richtmyer-Meshkov (RM) instability occurs when a shock passes through a perturbed interface separating fluids of different densities. Similarly, RM instabilities may also occur when a perturbed interface between two incompressible fluids of different density is impulsively accelerated. We report work that investigates RM instabilities between incompressible media by way of numerical simulations that are matched to experiments reported by Niederhaus & Jacobs [1]. We also describe a compact, fractional time-step, two-dimensional, finite-volume numerical algorithm that solves the non-Bousinesq Euler equations explicitly on a Cartesian, co-located grid. Numerical advection of volume fractions and momentum is second-order accurate in space and unphysical oscillations are prevented by using Van Leer flux limiters [2,3]. An initial velocity impulse has been used to model the impulsive acceleration history found in the experiments [1]. We report accurate simulation of the experimentally measured early-, intermediate-, and late-time penetrations of one fluid into another.

Original languageEnglish (US)
Title of host publicationProceedings of 2005 ASME Fluids Engineering Division Summer Meeting, FEDSM2005
Pages625-633
Number of pages9
DOIs
StatePublished - Dec 1 2005
Event2005 ASME Fluids Engineering Division Summer Meeting, FEDSM2005 - Houston, TX, United States
Duration: Jun 19 2005Jun 23 2005

Publication series

NameProceedings of 2005 ASME Fluids Engineering Division Summer Meeting, FEDSM2005
Volume2005

Other

Other2005 ASME Fluids Engineering Division Summer Meeting, FEDSM2005
CountryUnited States
CityHouston, TX
Period6/19/056/23/05

ASJC Scopus subject areas

  • Engineering(all)

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    Mueschke, N., Kraft, W. N., Dibua, O., Andrews, M. J., & Jacobs, J. W. (2005). Numerical investigation of single-mode Richtmyer-Meshkov instability. In Proceedings of 2005 ASME Fluids Engineering Division Summer Meeting, FEDSM2005 (pp. 625-633). (Proceedings of 2005 ASME Fluids Engineering Division Summer Meeting, FEDSM2005; Vol. 2005). https://doi.org/10.1115/FEDSM2005-77189