A Runge-Kutta TVD finite volume method for steady Euler equations on adaptive unstructured grids

Autor:	Kristiaan Riemslagh, Erik Dick
Předmět:	symbols.namesake Runge–Kutta methods Polynomial Finite volume method Discretization Delaunay triangulation Mathematical analysis symbols Grid Backward Euler method Mathematics::Numerical Analysis Mathematics Euler equations
Zdroj:	Ghent University Academic Bibliography Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics ISBN: 9783528076351
Popis:	A TVD-time dependent discretization of the Euler equations is formulated for unstructured grids. The grid is generated by Delaunay triangulation. The spatial discretization is based on the vertex-centred finite volume method with an upwind definition of the fluxes based on polynomial flux-difference splitting. The time dependent system is integrated with the standard Runge-Kutta type multistage time stepping method. Four stages are used with standard time step lengths. Adaptive refinement of the grid is done based on a pressure difference criterion. The method is illustrated on a supersonic wedge flow.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::237095c495020819e8daa4c1bd4964a2 https://biblio.ugent.be/publication/225753 Zobrazit plný text záznamu