Numerical investigation of internal vortex structure in two dimensional, incompressible Richtmyer-Meshkov flows

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

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

Abstract

Richtmyer-Meshkov (RM) instability occurs when one fluid is impulsively accelerated into a second fluid, such that ρ1 ρ2. This research numerically investigates RM instabilities between incompressible media, similar to the experiments reported by Niederhaus & Jacobs [1]. A two-dimensional, finite-volume numerical algorithm has been developed to solve the variable density Navier-Stokes equations explicitly on a Cartesian, co-located grid. In previous calculations, no physical viscosity was implemented; however, small scale fluctuations were damped by the numerical algorithm. In contrast, current simulations incorporate the physical viscosities reported by Niederhaus & Jacobs [1] and are explicitly used. Calculations of volume fraction and momentum advections are second-order accurate in space. Unphysical oscillations due to the higher-order advection scheme are minimized through the use of a Van Leer flux limiting algorithm. An initial velocity impulse [2] has been used to model the impulsive acceleration history found in the experiments of Niederhaus & Jacobs [1]. Both inviscid and viscous simulations result in similar growth rates for the interpenetration of one fluid into another. However, the inviscid simulations (i.e. no explicit viscosity) are unable to capture the full dynamics of the internal vortex structure that exists between the two fluids due to the absence of viscous effects.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
Pages109-118
Number of pages10
Volume261 FED
DOIs
StatePublished - 2005
Event2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005 - Orlando, FL, United States
Duration: Nov 5 2005Nov 11 2005

Other

Other2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005
CountryUnited States
CityOrlando, FL
Period11/5/0511/11/05

Fingerprint

Vortex flow
Fluids
Advection
Viscosity
Navier Stokes equations
Volume fraction
Momentum
Experiments
Fluxes

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Mueschke, N. J., Kraft, W. N., Andrews, M. J., & Jacobs, J. W. (2005). Numerical investigation of internal vortex structure in two dimensional, incompressible Richtmyer-Meshkov flows. In American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED (Vol. 261 FED, pp. 109-118) https://doi.org/10.1115/IMECE2005-82723

Numerical investigation of internal vortex structure in two dimensional, incompressible Richtmyer-Meshkov flows. / Mueschke, Nicholas J.; Kraft, Wayne N.; Andrews, Malcolm J.; Jacobs, Jeffrey W.

American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. Vol. 261 FED 2005. p. 109-118.

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

Mueschke, NJ, Kraft, WN, Andrews, MJ & Jacobs, JW 2005, Numerical investigation of internal vortex structure in two dimensional, incompressible Richtmyer-Meshkov flows. in American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. vol. 261 FED, pp. 109-118, 2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005, Orlando, FL, United States, 11/5/05. https://doi.org/10.1115/IMECE2005-82723
Mueschke NJ, Kraft WN, Andrews MJ, Jacobs JW. Numerical investigation of internal vortex structure in two dimensional, incompressible Richtmyer-Meshkov flows. In American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. Vol. 261 FED. 2005. p. 109-118 https://doi.org/10.1115/IMECE2005-82723
Mueschke, Nicholas J. ; Kraft, Wayne N. ; Andrews, Malcolm J. ; Jacobs, Jeffrey W. / Numerical investigation of internal vortex structure in two dimensional, incompressible Richtmyer-Meshkov flows. American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. Vol. 261 FED 2005. pp. 109-118
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