A return toward equilibrium in a 2D Rayleigh-Taylor instability for compressible fluids with a multidomain adaptive Chebyshev method

作者：Le Creurer Benjamin; Gauthier Serge^*

来源：Theoretical and Computational Fluid Dynamics, 2008, 22(2): 125-144.

DOI：10.1007/s00162-008-0076-3

• Rayleigh-Taylor instability
• Chebyshev multidomain method
• acoustic

We numerically simulate a single-mode Rayleigh-Taylor instability between compressible miscible fluids with a highly accurate self-adaptive pseudospectral Chebyshev multidomain method in two two-dimensional boxes at small aspect ratios. The simulations are started from rest and pursued until the return toward mechanical equilibrium of the mixing. Four regimes-linear and weakly nonlinear, nonlinear steady bubble rise, return toward equilibrium, and finally a system of acoustic waves-can be identified. We show that this one-dimensional system of stationary acoustic waves is damped by the physical viscosity. This provides a reference solution.

• 出版日期2008-4
• 单位中国地震局