Simulations of Richtmyer–Meshkov instabilities using a stochastic front tracking method

Abstract

This paper is dedicated to Richtmyer–Meshkov simulations. The strategy adopted here is not classical. It is based on a two-fluid Euler model, whose approximated solutions are computed using a first-order scheme coupled with a pseudo-random front-tracking algorithm. This new method has been tested satisfactorily, demonstrating good accuracy, with an effective convergence rate close to 0.9 even on linearly degenerate fields. This first application to the Richtmyer–Meshkov instability shows satisfactory agreement with experiments and exhibits appreciable properties: no spurious velocity/pressure oscillations show up near the interface, and the interface is maintained sharp.