[PDF] Top 20 A simple fully well-balanced and entropy preserving scheme for the shallow-water equations

... 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

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

... paper the design of two new nu- merical schemes based on suitable approximate Riemann solvers for the shallow-water ...equations. A particular attention has been paid to ... 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 ... Voir le document complet

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

... proposed a large time step and well-balanced scheme for the shallow-water equations and proved stability properties under a time step ... Voir le document complet

... of the intermediate states of the approximate Riemann solver involved in the scheme ( 3 ) and derived in [ 8 ...as a stepping stone towards proving Lemma 3 , by being used at ... Voir le document complet

... evolution and mesh Partial Di↵erential Equation (PDE) is discussed. Third, a thorough quantita- tive evaluation of the resulting algorithms on benchmarks involving wave propagation and ... Voir le document complet

... ], the authors have proposed an extension of the work by Gosse [ 30 ] in order to deal with Godunov-type ...solving a Bernoulli-type equation. This process allows the authors to get a ... Voir le document complet

... with a one di- mensional model. Thanks to recent developments in the analysis of hy- perbolic system of conservation laws (in the Saint-Venant/ shallow water equations context) ... 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

... Bristeau and Benoˆıt Coussin. Boundary conditions for the shallow water equations solved by kinetic ...rain water overland flow on agricultural fields ... Voir le document complet

... to the analogous situation in gas ...is fully relevant when dealing with the density of cells, ...cells, and in some sense it is the main goal of a biologically consistent ...is ... Voir le document complet

... be a degenerate parabolic equation, has been widely studied (see [ 2 , 14 , 18 , 21 ] for theoretical aspects and [ 1 , 4 , 17 , 20 ] for some numerical studies) and appears in several ... 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 ... 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 ... Voir le document complet

... kinetic and fluid ...ones and provide results with a higher accuracy than fluid ...Originally, the moment closure hierarchy introduced by Grad [39] leads to hyperbolic set of equations ... Voir le document complet

... because the veloc- ity modulus (denoted ζ in this work) is kept as a ...variable. The integration of the kinetic equation to obtain such models is performed only in angle (integration on ... Voir le document complet

... kinetic and fluid ...ones and provide results with a higher accuracy than fluid ...Originally, the moment closure hierarchy introduced by Grad [39] leads to hyperbolic set of equations ... Voir le document complet

... on the perturbation of a steady state solution by a pulse that splits into two opposite ...precisely, the space domain is reduced to the interval [0, 2], the bottom topography is ... Voir le document complet