Numerical analysis of the accuracy of models designed to calculate the growth of single-mode disturbances

I. Yu. Bobrovskaya^ab, D. I. Bobrovsky^a, Yu. A. Stepanova<sup>a

a</sup> FSUE “RFNC - VNIIEF”, Sarov, Nizhny Novgorod region
^b Lomonosov Moscow State University Branch, Sarov, Nizhny Novgorod region

Abstract: In this paper, the authors investigate several empirical models numerically implemented in the "Lagrangian-Eulerian" MIMOSA technique and designed to describe the stage of instability development, namely the Richtmayer-Meshkov and Rayleigh-Taylor instabilities. The paper describes the models and presents the results of simulations of laboratory experiments on the growth of the amplitude of sinusoidal perturbations at the air-SF$_6$ contact interface driven by a shock traveling from the "light" material (air) into the "heavy" one (SF$_6$).

Keywords: contact interface, hydrodynamic instability, models of development, numerical results.

Received: 15.05.2024
Revised: 15.05.2024
Accepted: 14.10.2024

DOI: 10.20948/mm-2025-01-02