Numerical simulations of the two-dimensional multimode Richtmyer-Meshkov instability

Thornber, B.; Zhou, Y.

doi:10.1063/1.4915517

Title: Numerical simulations of the two-dimensional multimode Richtmyer-Meshkov instability

Journal Article · Mon Mar 23 00:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4915517· OSTI ID:1597613

Thornber, B. ^[1]; Zhou, Y. ^[2]

Univ. of Sydney, NSW (Australia)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

We show the two-dimensional Richtmyer-Meshkov instability occurs as shock waves pass through a perturbed material interface, triggering transition to an inhomogeneous turbulence variable density flow. This paper presents a series of large-eddy-simulations of the two dimensional turbulent RM instability and compares the results to the fully three dimensional simulations. There are two aims for this paper, the first is to explore what numerical resolution is required for a statistically converged solution for a two dimensional inhomogeneous flow field. The second aim is to elucidate the key differences in flow physics between the two dimensional and three dimensional Richtmyer-Meshkov instabilities, particularly their asymptotic self-similar regime. Convergence is achieved using 64 independent realisations and grid resolutions up to 4096² in the plane. It is shown that for narrowband cases the growth rate θ = 0.48 which is substantially higher than the three-dimensional equivalent. Mix measures are consistently lower compared to three-dimensional, and the kinetic energy distribution is homogeneous at late time. The broadband case has a similar initial growth rate as the three-dimensional case, with a marginally lower θ = 0.63. Mix is similar in magnitude, but is reducing at late time. The spectra in both cases exhibit the dual-cascade expected from two-dimensional turbulence.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1597613

Alternate ID(s):: OSTI ID: 1228572

Report Number(s):: LLNL-JRNL-734607; PHPAEN; 886317; TRN: US2103150

Journal Information:: Physics of Plasmas, Vol. 22, Issue 3; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 18 works

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