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research-article

A validation study of the compressible Rayleigh-Taylor instability comparing the Ares and Miranda codes

[+] Author and Article Information
Thomas J Rehagen

Lawrence Livermore National Laboratory Livermore, California 94550, USA
rehagen1@llnl.gov

Jeffrey A. Greenough

Lawrence Livermore National Laboratory Livermore, California 94550, USA
greenough1@llnl.gov

Britton Olson

Lawrence Livermore National Laboratory Livermore, California 94550, USA
olson45@llnl.gov

1Corresponding author.

ASME doi:10.1115/1.4035944 History: Received October 20, 2016; Revised January 13, 2017

Abstract

The compressible Rayleigh-Taylor (RT) instability is studied by performing a suite of large eddy simulations 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 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 large eddy simulation (LES). The highest resolution simulations become LES at around t/t ' 1.5. 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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