1. Low- and zero-Mach-number models for Rayleigh–Taylor flows.
- Author
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Gauthier, Serge and Schneider, Nicolas
- Subjects
- *
MACH number , *RAYLEIGH-Taylor instability , *PRANDTL number , *ISOBARIC processes , *BOUSSINESQ equations - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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