Abstract: An approach combining the adaptive unstructured grids and the high order Godunov type scheme based on the finite volume method is applied to simulate the evolution of the interface between two layers of fluid with different densities.The research focuses on Richtmyer Meshkov instability and baroclinic effect in the evolution of the interface.The perturbation growth rates of the interface are also presented.

Key words: adaptive unstructured grid, numerical simulation, Godunov scheme, baroclinic effect, Richtmyer Meshkov instability