[PDF] Top 20 A conservative well-balanced hybrid SPH scheme for the shallow-water model

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

... to a first order explicit in time upwind finite difference ...are the first to solve blood flow equations under a conservative form, thanks to a two-step Lax-Wendroff ...scheme. ... 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

... because the scheme is conservative by con- ...SW/FD, the code giving the best volume conservation is KW/FV. Indeed, for the three test cases where KW/FD gives coherent (or ... Voir le document complet

... on the numerical approximation of the Shallow Water Equations (SWE) using a Lagrange-Projection type ...context the recent implicit- explicit schemes developed in [16], [18] in ... Voir le document complet

... conclusions The present work deals with the shear shallow water model which is a higher order version of the classical shallow water model since it ... 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

... ], the non-conservative entropy inequality ( 2 ) can be recast under the following equivalent conservative form: ∂ t (η(W ) + ghZ) + ∂ x (G(W ) + gqZ) ≤ ...Preserving the steady state ... 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 ... Voir le document complet

... words. Shallow-water equations, steady states, finite volume schemes, well-balanced prop- erty, positive preserving scheme, entropy preserving scheme ...to the derivation ... 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

... considers the Shallow Water equations (SWE) and proposes a high order conservative scheme based on a Lagrange-Projection ...decomposition. The high order in space ... Voir le document complet

... be well-balanced in the sense of [Greenberg and LeRoux, 1996], meaning preserving the hydrostatic bal- ance of the lake at ...In the literature, some numerical schemes have been ... Voir le document complet

... volume for the blood flow in elastic vessels with varying mechanical ...solver for the blood flow model with upwind discretization for the source ...term. The main ... Voir le document complet

... of the implicit scheme concerns it’s ability to reach an equilibrium state, despite the fact that the iterative process is stopped, when the error on the relative velocity is ... Voir le document complet

... is a convenient formulation for well-posedness issues (see for instance [38] for local well-posedness, [1, 2, 4, 48] for low regularity solutions, [28, 34, 5] for ... 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 flow solver with the mesh at each time step is non-trivial, as the mesh equations depend on the solution on the (unknown) adapted ...particular the Shallow ... Voir le document complet

... by A. Chorin and R. Temam [ 33 ] in order to compute the pressure for incompressible Navier-Stokes ...on a time splitting scheme, have been widely studied and applied to treat ... Voir le document complet