Print Email Facebook Twitter The Derivative Riemann Problem: The basis for high order ADER Schemes Part of: ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics· list the conference papers Title The Derivative Riemann Problem: The basis for high order ADER Schemes Author Toro, E.F. Dumbser, M. Titarev, V.A. Käser, M. Date 2006-09-07 Abstract The corner stone of arbitrary high order schemes (ADER schemes) is the solution of the derivative Riemann problem at the element interfaces, a generalization of the classical Riemann problem first used by Godunov in 1959 to construct a first-order upwind numerical method for hyperbolic systems. The derivative Riemann problem extends the possible initial conditions to piecewise smooth functions, separated by a discontinuity at the interface. In the finite volume framework, these piecewise smooth functions are obtained from cell averages by a high order non-oscillatory WENO reconstruction, allowing hence the construction of non-oscillatory methods with uniform high order of accuracy in space and time. Subject derivative Riemann ProblemsADER approachfinite volume schemes To reference this document use: http://resolver.tudelft.nl/uuid:9f48bbc7-fb21-43a5-abde-c68bb0828413 Part of collection Conference proceedings Document type conference paper Rights (c) 2006 Toro, E.F.; Dumbser, M.; Titarev, V.A.; Käser, M. Files PDF Toro.pdf 648.27 KB Close viewer /islandora/object/uuid:9f48bbc7-fb21-43a5-abde-c68bb0828413/datastream/OBJ/view