[PDF] Top 20 A well-balanced scheme for the shallow-water equations with topography or Manning friction

... consider the shallow-water equations with Manning friction or topography, as well as a combination of both these source ...terms. The ... Voir le document complet

... Abstract. The aim of this paper is to prove the preservation of the diffusive limit by a numerical scheme for the shallow-water equations with ... Voir le document complet

... The steady states for the shallow-water equations with nonzero discharge are known to be more difficult to exactly capture than the lake at rest ...configuration. ... Voir le document complet

... Abstract. The aim of this paper is to propose a numerical scheme for the shallow- water equations with a Manning friction source term ... Voir le document complet

... develop a two-dimensional high-order numerical scheme that exactly preserves and captures the moving steady states of the shallow water equations with ... Voir le document complet

... shallow-water equations with topography Christophe Berthon, Raphaël Loubère and Victor Michel-Dansac Abstract We consider the well-balanced numerical scheme ... Voir le document complet

... all the above cited references (except for [13]) deal only with the lake at rest steady states ...consider the steady states (1.3) in their full generality. As a consequence, ... Voir le document complet

... define the tangent plane to the sphere and are used to construct all quantities allowing to locally describe the ...manifold. For completeness, in Appendix ...as well as many ... Voir le document complet

... has the advantage of being easy and quick to solve and compute, so for simple test case configurations, it could be sufficient, for instance in “Rising hydrograph” or “Hillslope1” test case, ... Voir le document complet

... ∆t), with Π(x, t n ) = p EOS (τ (x, t n )). Note that the system ( 8 ) is rotational ...in the following to define every flux for the two dimensional problem in the reference ... Voir le document complet

... investigate the potential of the so-called "relocation" mesh adaptation in terms of resolution and efficiency for the simulation of free surface flows in the near shore ...of ... Voir le document complet

... ies with variable elasticity with a one dimensional ...present a well-balanced finite volume scheme based on the recent developments in shallow water ... Voir le document complet

... In the meanwhile, the set of shallow water equations (though younger, as the equations have been written by Adh´ emar Barr´ e de Saint-Venant in 1871 [ 18 ]) have received ... Voir le document complet

... is a particular solution to ( 1 ). Since [ 2 ], it is well known that the topography source term needs a special treatment in order to preserve at least this ...be ... Voir le document complet

... of Shallow Water flows with wetting/drying ...review the forms of the equations which are best suited for the task of combining well-balancedness and DGCL on ... Voir le document complet

... relevant with respect to the analogous situation in gas ...dealing with the density of cells, ...is the main goal of a biologically consistent model. This is a situation ... Voir le document complet

... contains a new term, denoted by T (W L , W R ) and consistent with the source term −gq∂ x Z in ( 2 ...prove the well-known Lax-Wendro Theorem (see our main result, Theorem ...), ... Voir le document complet

... introducing the notations of the DG discretization. Recall that the DG approach considers that the approximate solution at each time t n is defined on each cell κ j by a polynomial in ... Voir le document complet

... that the proposed scheme satisfies an additional stronger ...type scheme to approximate the solu- tion of homogeneous hyperbolic systems ...(i.e. with vanishing source term), in gen- ... Voir le document complet

... on a Lagrange-Projection type ap- proach which are stable under a CFL restriction driven by the slow material waves and not the acoustic waves has been given a first interest in ... Voir le document complet