[PDF] Top 20 A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction

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

... In order to design a numerical scheme with well-balanced and asymptotic preserving properties, we adopt the fully well-balanced Godunov-type ... 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 ... 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

... 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

... 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

... 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

... approximate the interfaces between wet and dry areas, and it must be well-balanced, ...all the steady state solutions of the shallow- water equations ... Voir le document complet

... In order to prove Lemma 3 , we first provide an estimation of the intermediate states of the approximate Riemann solver involved in the scheme ( 3 ) and derived in [ 8 ...as ... Voir le document complet

... states, the lake at rest h + z = cst, u = 0, ...During the last two decades, after the works by Bermudez-Vasquez [2] and Greenberg-LeRoux [24] (see also [21, 22, 23]), the ... Voir le document complet

... presented a new method for a family of two-dimensional dispersive shallow water systems, where we do not solve equations containing high order ... Voir le document complet

... Abstract The goal of this paper is to present high-order cell-centered schemes for solving the equations of Lagrangian gas dynamics written in cylindrical ...geometry. A ... Voir le document complet

... archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or ...not. The documents may come from L’archive ouverte pluridisciplinaire HAL, est ... Voir le document complet

... 4. The acoustic GRP high-order extension Concerning the high-order extension, many methods are ...available. For instance, one can perform a monotone piecewise ... Voir le document complet

... is the polymerization of proteins : PrP in Prion diseases, APP in Alzheimer, Htt in ...Huntington. The abnormal form of these proteins is pathogenic and has the ability to polymerize into ... Voir le document complet

... Conclusion The long time behavior of the Spectrally Well-Balanced scheme has be studied for several irregular opacities, including highly peaked emission absorption coefficient ... Voir le document complet

... describe a high-order cell-centered finite volume method for solving anisotropic diffusion on two-dimensional unstructured ...grids. The resulting numerical scheme, ... Voir le document complet

... adjust the free parameter on point m iD to satisfy the Dirichlet condition on b iD ...q for regular solutions. Remark 4.1. The methods ROD1 and ROD2 mainly differ in the ... Voir le document complet

... volume scheme relies on the partition of each polyhedral cell of the computational domain into sub-cells and on the partition of each cell face into sub-faces, which are composed of ... Voir le document complet