Shock-vortex interaction: test problem for shock capturing methods

A. V. Rodionov

Russian Federal Nuclear Center – VNIIEF, Sarov

Abstract: The article discusses the problem of shock-vortex interaction and suggests one of its variants as a test problem for conducting a comparative analysis of the effectiveness of shock capturing methods. Various aspects of the problem are considered, including: the dependence of the flow structure on the basic parameters; a review of the work on the problem and their critical analysis; the choice of a problem formulation with a stable flow structure; a technique for obtaining a reference solution; possible criteria for the effectiveness of computational methods.

Keywords: shock capturing methods, Godunov-type schemes, WENO reconstruction, Runge-Kutta method, Hancock-Rodionov method.

Received: 27.03.2025
Revised: 23.04.2025
Accepted: 13.05.2025

DOI: 10.20948/mm-2025-05-03