Numerical solution of test problems using a modified Godunov scheme

DOI10.1134/S0965542518100111zbMath1448.76133OpenAlexW2900298583WikidataQ128968494 ScholiaQ128968494MaRDI QIDQ1757728

Yu. V. Tunik

Publication date: 15 January 2019

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

Full work available at URL: https://doi.org/10.1134/s0965542518100111

zbMATH Keywords

invariantsEuler equationsnumerical schemetest problemsnumerical gridconvergent-divergent nozzlesound wavesorder of accuracydifference analoguecentral bodyentropy nondecreaseinviscid ideal gasmonotonicity of schemes

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Euler equations (35Q31)

Related Items (2)

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

Uses Software

• SHASTA

Cites Work

• Unnamed Item
• Unnamed Item
• Starting of an axisymmetric convergent-divergent nozzle in a hypersonic flow
• Detonation combustion of hydrogen in a convergent-divergent nozzle with a central coaxial cylinder
• High resolution schemes for hyperbolic conservation laws
• \(W\)-modification of S. K. Godunov's method and its application to two-dimensional unsteady flows of a dusty gas
• Increasing the order of approximation of Godunov's scheme using solutions of the generalized riemann problem
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

This page was built for publication: Numerical solution of test problems using a modified Godunov scheme