Free access article

ESAIM: Proc., 1999, Vol. 6, pp. 75-90
DOI: 10.1051/proc:1999047

Riemann Solvers for some Hyperbolic Problems with a Source Term

Alain Yves Le Roux

GRAMM - Mathématiques Appliquées, Université de Bordeaux I 33405 Talence Cedex, France

Abstract
In many problems of fluid dynamics, the source term corresponds to the interaction with the surrounding medium, including the geometry and some internal forces (friction, gravity, Coriolis acceleration, etc..) In environmental problems, this interaction is often a very dominant term which characterizes the well balanced states. In a numerical simulation, it is obviously important to be able to reproduce these equilibria and maintain them for a large number of timesteps, or at least, to avoid a stable equilibrium to be disturbed and destabilized by an unsuitable method. This is the matter discussed in the present paper.

© EDP Sciences, ESAIM 1999

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