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MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvementsстатья
- Авторы: Titarev V.A., Toro E.F.
- Журнал: International Journal for Numerical Methods in Fluids
- Том: 49
- Номер: 2
- Год издания: 2005
- Издательство: John Wiley & Sons Inc.
- Местоположение издательства: United States
- Первая страница: 117
- Последняя страница: 147
- DOI: 10.1002/fld.980
- Аннотация: We develop and analyse an improved version of the multi-stage (MUSTA) approach to the constructionof upwind Godunov-type uxes whereby the solution of the Riemann problem, approximate or exact, isnot required. The new MUSTA schemes improve upon the original schemes in terms of monotonicityproperties, accuracy and stability in multiple space dimensions. We incorporate the MUSTA technology into the framework of nite-volume weighted essentially nonoscillatory schemes as applied to theEuler equations of compressible gas dynamics. The results demonstrate that our new schemes are goodalternatives to current centred methods and to conventional upwind methods as applied to complicatedhyperbolic systems for which the solution of the Riemann problem is costly or unknown
- Добавил в систему: Титарев Владимир Александрович