Searched for: subject%3A%22derivative%255C%2BRiemann%255C%2Bproblem%22
(1 - 3 of 3)
document
Toro, E.F. (author), Dumbser, M. (author), Titarev, V.A. (author), Käser, M. (author)
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...
conference paper 2006
document
Vignoli, G. (author), Toro, E.F. (author), Titarev, V. (author)
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...
conference paper 2006
document
Titarev, V.A. (author), Toro, E.F. (author)
In this paper we generalizew the semi-analytical method16 for solving the Derivative Riemann Problem to hyperbolic systems for which the Riemann problem solution is not available. As an application example we implement the new derivative Riemann solver in the high-order finite-volume ADER advection schemes. We provide numerical examples for two...
conference paper 2006