Comparison of methods for modeling the interaction of a shock wave and a stationary gas in the problem of the development of Richtmayer-Meshkov instability

Title	Comparison of methods for modeling the interaction of a shock wave and a stationary gas in the problem of the development of Richtmayer-Meshkov instability
Authors	V. V. Grigoryev¹, R. V. Zhalnin¹ ¹Lavrentyev Institute of Hydrodynamics SB RAS
Annotation	With a short-term lateral impact of a shock wave on the contact gap between gases of different densities, hydrodynamic instability (Richtmayer-Meshkov instability) begins to develop, passing through the stage of turbulent cross-linking of gases. In the current work, the results of the numerical solution of this problem in a specific two-dimensional formulation by various gas dynamic codes are compared. These codes implement ideologically different approaches to solving the equations of gas dynamics: the discontinuous Galerkin method, various variations of Godunov schemes, and the SPH approach. To study the accuracy of calculations of turbulent flows, various WENO schemes in Godunov schemes were used, and in the case of SPH, different smoothing kernels were used. The numerical solution of the problem was performed in parallel mode on video cards and a computer with distributed memory.
Keywords	numerical gas dynamics, Godunov schemes, Richtmayer-Meshkov instability, WENO, SPH.
Citation	Grigoryev V. V., Zhalnin R. V. ''Comparison of methods for modeling the interaction of a shock wave and a stationary gas in the problem of the development of Richtmayer-Meshkov instability'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 45-49. Available at: https://conf.svmo.ru/files/2024/papers/paper08.pdf. - Date of access: 16.10.2024.

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Comparison of methods for modeling the interaction of a shock wave and a stationary gas in the problem of the development of Richtmayer-Meshkov instability

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