Comparison of the Turbulent Spectrum in the Development of Richtmayer–Meshkov Instability Numerically Calculated with Different Approaches

With a short-term lateral impact of a shock wave (from Supernova, for example) on a contact discontinuity between gases of different densities, numerous turbulent vortices arise—Richtmyer–Meshkov instability. The current work compares the results of a numerical solution of this problem in a specific...

Full description

Saved in:
Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 46; no. 1; pp. 86 - 94
Main Authors Grigoryev, V. V., Zhalnin, R. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.01.2025
Springer Nature B.V
Subjects
Algebra
Analysis
Distributed memory
Geometry
Initial conditions
Lateral stability
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Richtmeyer-Meshkov instability
Shock waves
Turbulent flow
numerical gas dynamics
discontinuous Galerkin method
Richtmayer–Meshkov instability
2010 Mathematics Subject Classification: 65M08
WENO
SPH
Godunov schemes
Online AccessGet full text

Cover

More Information
Summary:With a short-term lateral impact of a shock wave (from Supernova, for example) on a contact discontinuity between gases of different densities, numerous turbulent vortices arise—Richtmyer–Meshkov instability. The current work compares the results of a numerical solution of this problem in a specific two-dimensional formulation using various gas dynamic codes (FVM and SPH approaches). Various formulations of initial conditions, including those close to astrophysical conditions, have been studied. A turbulent spectrum was constructed and analyzed for each calculation. Parallel computations were carried out on GPU and a computer with distributed memory.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224608439