Universal approach to analysis of dissipation properties of a numerical method for solving gas dynamic equations

DOI10.1134/S0965542523090063zbMath1525.76066OpenAlexW4387606347MaRDI QIDQ6074759

Pavel V. Chuvakhov, K. V. Shubin, I. O. Pogorelov

Publication date: 19 October 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523090063

zbMATH Keywords

convergenceEuler equationscompressible Navier-Stokes equationsnumerical dissipationnumerical viscosityquasi-monotone second-order finite volume method

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Compressible Navier-Stokes equations (76N06)

Cites Work

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• Direct numerical simulation of laminar-turbulent flow over a flat plate at hypersonic flow speeds
• Comparison of dissipation and dispersion properties of compact difference schemes for the numerical solution of the advection equation
• Dispersive and dissipative properties of the fully discrete bicompact schemes of the fourth order of spatial approximation for hyperbolic equations
• A Method for Studying the Dissipative Properties of Difference Schemes in Euler Coordinates
• CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations

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