[PDF] Top 20 A well-balanced Discontinuous-Galerkin Lagrange-Projection scheme for the Shallow Water Equations

... as a natural extension to the present setting of the first- order well-balanced Lagrange-Projection scheme developed in [7] for the shallow ... Voir le document complet

... on the numerical approximation of the shallow water equations in two space ...propose a well-balanced, all-regime and positive ...By well-balanced, it ... Voir le document complet

... consider a numerical scheme for the shallow-water ...system. The scheme under consideration has been proven to preserve the positivity of the ... 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 for ... 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

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

... is a challenging task, see for instance [ 5 , 41 ] and references ...that, for the case of both source terms, the steady states ( ...], the authors develop a robust ... 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 ... Voir le document complet

... In the present work, we are concerned with the derivation of a numerical scheme to approximate the weak solutions of ( ...captures the steady state solutions of ( 1.10 ) and ... Voir le document complet

... with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations ...get a ... Voir le document complet

... follows. For the sake of consistency of the present paper, in the next section we briefly recall the main algebraic properties satisfied by ...that the steady states ...of ... Voir le document complet

... considered the classical 1-D model of flow in an artery, we have presented a new numerical scheme and some numerical ...tests. The new proposed scheme has been obtained in following ... Voir le document complet

... to the analogous situation in gas ...with the density of cells, ...is the main goal of a biologically consistent model. This is a situation somewhat similar to what occurs when dealing ... Voir le document complet

... In the last decades, more or less complex physically-based hydrologi- cal models, have been developed that solve the shallow water equations or their approximations using various ... Voir le document complet

... on the sphere is a relatively recent subject of ...solve the WeB:16,McR:18 Monge-Ampere type nonlinear PDEs involved. The results shown in terms of mesh quality and mesh refinement are very ... 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 well-balanced ... Voir le document complet

... equation for photons containing a frequency drift term modeling the Doppler effects and an emission absorption coefficient is ...On the one hand, this frequency drift term involves a ... Voir le document complet

... of the nonlinear shallow water (or Saint-Venant) ...account the effects resulting from the large spatial and/or temporal variations of the ...seabed. The model is derived ... Voir le document complet

... scheme for the shallow-water model Christophe Berthon, Matthieu de Leffe, Victor Michel-Dansac Abstract A scheme defined by a hybridization between SPH method and ... Voir le document complet

... denotes the unit vector normal to ∂Ω pointing outward Ω and G : (0, T ) × Γ A → R 3 is a tangential load term ...0). The first relation of (1b) is a first-order absorbing boundary ... Voir le document complet