Rayleigh-Taylor Instability in a Compressible Fluid

2008/05/05 by Bhimsen K. Shivamoggi, Shivamoggi, B. K.
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.0805.0581

openalex publication_date 2008/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Rayleigh-Taylor instability in a compressible fluid is reconsidered. The density is allowed to vary with pressure under the barotropy assumption. For the case with equal speeds of sound in the two superposed fluids, in order to give a non-trivial compressibility correction to the Rayleigh-Taylor growth rate, the compressibility correction is calculated to O(g²/k²a⁴). To this order, compressibility effects are found to reduce the growth rate.

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