On the reliability of Kolgan reconstruction in Godunov method for the numerical solution of hydrodynamic equations

DOI10.1134/s1995080223010274zbMath1527.76039OpenAlexW4377003315MaRDI QIDQ6040330

I. M. Kulikov, E. I. Vorobyov

Publication date: 25 May 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223010274

zbMATH Keywords

Riemann problemweak shock waveKolgan linear reconstructionnonlinear discontinuity decay

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12)

Cites Work

• Unnamed Item
• Experimental studies of difference gas dynamics models with shock waves
• Numerical solution of test problems using a modified Godunov scheme
• Using a combination of Godunov and Rusanov solvers based on the piecewise parabolic reconstruction of primitive variables for numerical simulation of supernovae Ia type explosion
• Study of entropy properties of a linearized version of Godunov's method
• Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee
• Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics
• Riemann Solvers and Numerical Methods for Fluid Dynamics

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