Low- and zero-Mach-number models for Rayleigh-Taylor flows

We derive low-Mach-number models for the Rayleigh-Taylor instability within asymptotic analysis. In particular, the Sandoval model is derived from the quasi-isobaric model in situations where the Prandtl number is vanishing and the speed of sound and the ratio of specific heats are infinite. Four incompressible-like models are thus available (two low-Mach-number and two zero-Mach-number), the anelastic model for stratification of the order of 1, three models for a vanishing stratification, the quasi isobaric model, the Sandoval model and the Boussinesq approximation for a vanishing Atwood number. (C) 2017 Elsevier Ltd. All rights reserved.