Print Email Facebook Twitter ADER scheme for the shallow water equations in channel with irregular bottom elevation Part of: ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics· list the conference papers Title ADER scheme for the shallow water equations in channel with irregular bottom elevation Author Vignoli, G. Toro, E.F. Titarev, V. Date 2006-09-05 Abstract In this paper we develop one dimensional non-linear ADER schemes for the shallow water system with source terms. In contrast to conventional schemes we adopt a formulation given in terms of the free surface elevation and water discharge. Data reconstruction is performed using ENO polynomials both for the conservative variables and for the bottom elevation. The scheme is accurate up to forth order both in time and in space; essentially non-oscillatory results are obtained for discontinuous solutions both for the steady and unsteady case. The resulting numerical schemes can be applied to several realistic cases characterized by non-uniform geometries. Subject high-order schemesADERwell balancedderivative Riemann problem To reference this document use: http://resolver.tudelft.nl/uuid:96acbb25-b5ce-44fc-942d-5b596cc79b61 Part of collection Conference proceedings Document type conference paper Rights (c) 2006 Vignoli, G.; Toro, E.F.; Titarev, V. Files PDF Vignoli.pdf 352.2 KB Close viewer /islandora/object/uuid:96acbb25-b5ce-44fc-942d-5b596cc79b61/datastream/OBJ/view