Analyzing Richtmyer–Meshkov Phenomena Triggered by Forward-Triangular Light Gas Bubbles: A Numerical Perspective

Axioms, vol. 13, pp. 365

Abstract

In this paper, we present a numerical investigation into elucidating the complex dynamics of Richtmyer–Meshkov (RM) phenomena initiated by the interaction of shock waves with forward-triangular light gas bubbles. The triangular bubble is filled with neon, helium, or hydrogen gas, and is surrounded by nitrogen gas. Three different shock Mach numbers are considered: Ms=1.12,1.21, and 1.41. For the numerical simulations, a two-dimensional system of compressible Euler equations for two-component gas flows is solved by utilizing the high-fidelity explicit modal discontinuous Galerkin technique. For validation, the numerical results are compared with the existing experimental results and are found to be in good agreement. The numerical model explores the impact of the Atwood number on the underlying mechanisms of the shock-induced forward-triangle bubble, encompassing aspects such as flow evolution, wave characteristics, jet formation, generation of vorticity, interface features, and integral diagnostics. Furthermore, the impacts of shock strengths and positive Atwood numbers on the flow evolution are also analyzed. Insights gained from this numerical perspective enhance our understanding of RM phenomena triggered by forward-triangular light gas bubbles, with implications for diverse applications in engineering, astrophysics, and fusion research.

Authors 2

1. Satyvir Singh corresponding Aachen Applied and Computational Mathematics

   RWTH Aachen University · Graphic Era University

   Affiliation as printed

   Applied and Computational Mathematics, RWTH Aachen University, 52062 Aachen, Germany

   Department of Mathematics, Graphic Era Deemed to be University, Dehradun 248002, India

2. Ahmed Hussein Msmali

   Jazan University · University of Wollongong

   Affiliation as printed

   Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia

   School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia