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.
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ASME 2005 Fluids Engineering Division Summer Meeting
June 19–23, 2005
Houston, Texas, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-4198-7
PROCEEDINGS PAPER
Numerical Investigation of Single-Mode Richtmyer-Meshkov Instability
Nicholas Mueschke,
Nicholas Mueschke
Texas A&M University, College Station, TX
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Wayne N. Kraft,
Wayne N. Kraft
Texas A&M University, College Station, TX
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Odion Dibua,
Odion Dibua
Texas A&M University, College Station, TX
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Malcolm J. Andrews,
Malcolm J. Andrews
Texas A&M University, College Station, TX
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Jeffrey W. Jacobs
Jeffrey W. Jacobs
University of Arizona, Tucson, AZ
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Nicholas Mueschke
Texas A&M University, College Station, TX
Wayne N. Kraft
Texas A&M University, College Station, TX
Odion Dibua
Texas A&M University, College Station, TX
Malcolm J. Andrews
Texas A&M University, College Station, TX
Jeffrey W. Jacobs
University of Arizona, Tucson, AZ
Paper No:
FEDSM2005-77189, pp. 195-203; 9 pages
Published Online:
October 13, 2008
Citation
Mueschke, N, Kraft, WN, Dibua, O, Andrews, MJ, & Jacobs, JW. "Numerical Investigation of Single-Mode Richtmyer-Meshkov Instability." Proceedings of the ASME 2005 Fluids Engineering Division Summer Meeting. Volume 1: Symposia, Parts A and B. Houston, Texas, USA. June 19–23, 2005. pp. 195-203. ASME. https://doi.org/10.1115/FEDSM2005-77189
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