A Validation Study of the Compressible Rayleigh–Taylor Instability Comparing the Ares and Miranda Codes

Rehagen, Thomas J.; Greenough, Jeffrey A.; Olson, Britton J.

doi:10.1115/1.4035944

Title: A Validation Study of the Compressible Rayleigh–Taylor Instability Comparing the Ares and Miranda Codes

Journal Article · Thu Apr 20 00:00:00 EDT 2017 · Journal of Fluids Engineering

DOI:https://doi.org/10.1115/1.4035944· OSTI ID:1357382

Rehagen, Thomas J. ^[1]; Greenough, Jeffrey A. ^[1]; Olson, Britton J. ^[1]

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

In this paper, the compressible Rayleigh–Taylor (RT) instability is studied by performing a suite of large eddy simulations (LES) using the Miranda and Ares codes. A grid convergence study is carried out for each of these computational methods, and the convergence properties of integral mixing diagnostics and late-time spectra are established. A comparison between the methods is made using the data from the highest resolution simulations in order to validate the Ares hydro scheme. We find that the integral mixing measures, which capture the global properties of the RT instability, show good agreement between the two codes at this resolution. The late-time turbulent kinetic energy and mass fraction spectra roughly follow a Kolmogorov spectrum, and drop off as k approaches the Nyquist wave number of each simulation. The spectra from the highest resolution Miranda simulation follow a Kolmogorov spectrum for longer than the corresponding spectra from the Ares simulation, and have a more abrupt drop off at high wave numbers. The growth rate is determined to be between around 0.03 and 0.05 at late times; however, it has not fully converged by the end of the simulation. Finally, we study the transition from direct numerical simulation (DNS) to LES. The highest resolution simulations become LES at around t/τ ≃ 1.5. Finally, to have a fully resolved DNS through the end of our simulations, the grid spacing must be 3.6 (3.1) times finer than our highest resolution mesh when using Miranda (Ares).

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1357382

Report Number(s):: LLNL-JRNL-705687

Journal Information:: Journal of Fluids Engineering, Vol. 139, Issue 6; ISSN 0098-2202

Publisher:: ASMECopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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