Method for the construction of Godunov-type difference schemes in curvilinear coordinates and its application to cylindrical coordinates

DOI10.1007/S10598-014-9228-ZzbMath1294.35084OpenAlexW2074391006MaRDI QIDQ740578

M. V. Abakumov

Publication date: 3 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10598-014-9228-z

zbMATH Keywords

cylindrical coordinatescurvilinear coordinatesGodunov-type difference schemesflow past a cylindercompressible viscous gas equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Compressible fluids and gas dynamics (76N99)

Related Items (3)

Influence of the approximation viscosity on the numerical solution of the problem on the accretion disk in a binary star system ⋮ Construction of Godunov-type difference schemes in curvilinear coordinates and an application to spherical coordinates ⋮ Mathematical simulation of viscous gas flows between two coaxially rotating concentric cylinders and spheres

Uses Software

• HLLE

Cites Work

• The numerical simulation of two-dimensional fluid flow with strong shocks
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• On Godunov-Type Methods for Gas Dynamics
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
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