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Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

Montecinos, G. ; Castro, C.E. ; Dumbser, M. ; Toro, E.F.

Journal of computational physics, 2012-08, Vol.231 (19), p.6472-6494 [Periódico revisado por pares]

Kidlington: Elsevier Inc

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Título:
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms
Autor: Montecinos, G. ; Castro, C.E. ; Dumbser, M. ; Toro, E.F.
Assuntos: ADER method ; Assessments ; Cauchy–Kowalewski procedure ; Cauchy–Kowalewski theorem ; Computational techniques ; Discontinuous Galerkin methods ; Dynamical systems ; Euler equations ; Exact sciences and technology ; Glass fiber reinforced plastics ; Hyperbolic equations ; Hyperbolic systems ; Initial conditions ; Mathematical analysis ; Mathematical methods in physics ; Nonlinear dynamics ; Physics ; Riemann problem ; Solvers
É parte de: Journal of computational physics, 2012-08, Vol.231 (19), p.6472-6494
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: We compare four different approximate solvers for the generalized Riemann problem (GRP) for non-linear systems of hyperbolic equations with source terms. The GRP is a special Cauchy problem for a hyperbolic system with source terms whose initial condition is piecewise smooth. We briefly review the four solvers currently available and carry out a systematic assessment of these in terms of accuracy and computational efficiency. These solvers are the building block for constructing high-order numerical schemes of the ADER type for solving the general initial-boundary value problem for inhomogeneous systems in multiple space dimensions, in the frameworks of finite volume and discontinuous Galerkin finite element methods.
Editor: Kidlington: Elsevier Inc
Idioma: Inglês

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Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

Montecinos, G. ; Castro, C.E. ; Dumbser, M. ; Toro, E.F.

Kidlington: Elsevier Inc

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