[PDF] Top 20 A Well-Balanced Finite Volume Scheme for a Mixed Hyperbolic/Parabolic System to Model Chemotaxis

... The Finite Volume scheme presented in this paper has been constructed by deriving a pertinent approximate Riemann solver, in order to exactly preserve equilibria of particular interest ... Voir le document complet

... study a Finite Volume discretization of a strongly coupled elliptic-parabolic PDE system describing miscible displacement in a porous ...by a finite ... Voir le document complet

... Introduction Chemotaxis, the directed movement of cells in response to chemical gradients, plays an important role in many biological fields, such as embryogenesis, immunology, cancer growth, and wound ... Voir le document complet

... the chemotaxis model based on realistic biological assumptions, which incorporates the effect of volume-filling mecha- nism and leads to a nonlinear degenerate parabolic ... Voir le document complet

... numerical scheme for computing the solutions to this problem, which is not an easy task, even for the case of a single ...able to capture these large gradients in an accurate way ... Voir le document complet

... results for numerical schemes dedicated to carbonation ...develop a semi-discrete finite element scheme in space for a more complex model than ( ...on a ... Voir le document complet

... words. hyperbolic systems with source, initial-boundary value problem, asymptotic be- havior, finite difference schemes, chemotaxis AMS subject ...difficult to find an effective numerical ap- ... Voir le document complet

... 1-D model of flow in an artery, we have presented a new numerical scheme and some numerical ...proposed scheme has been obtained in following recent advances in the shallow-water Saint-Venant ... Voir le document complet

... artery. System ( 1 ) is into the form of the Saint- Venant problem with variable pressure presented in [ 3 ...have to mention that arterial pulse wavelengths are long enough to justify the use of ... Voir le document complet

... of a chemical stimulus, represented by a chemoattractant, has been widely studied in mathematics in the last two decades, see [18, 22, 23, 26], and numerous models involving partial differential equations ... Voir le document complet

... motivation for this paper is the need to provide accurate numerical tools for the so-called shallow water system on the ...This system is widely used in geophysics as a ... Voir le document complet

... hence to combine a finite element discretization of diffusive terms with a finite vo- lume discretization of the other ...[15] for fluid mechanics equations where the diffusion ... Voir le document complet

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

... numerical scheme for this equation is an interesting ...compared to hydrodynamic ones, well- balanced schemes are a possible ...type well-balanced schemes [GL96] ... Voir le document complet

... or finite elements on Delaunay’s meshes (see ...space finite volume method was proposed in [ 18 ] and discontinuous Galerkin schemes in [ 80 , 79 ...as well as the finite difference ... Voir le document complet

... analyze a Control Volume Finite El- ements (CVFE) scheme for solving possibly degenerated parabolic ...This scheme does not require the introduction of the so-called ... Voir le document complet

... about well-balanced schemes can be found in the lecture note ...developed well-balanced schemes for the shallow water equations admitting the still water steady state using different ... Voir le document complet

... The system (21) thus admits a discrete counterpart ...discrete Finite Volume scheme based on the LJKO time discretization is performed in Section 2, where we also establish the ... Voir le document complet

... propose a variational finite volume scheme to approximate the solutions to Wasserstein gradient ...thanks to Benamou-Brenier formula, whereas space discretization relies ... Voir le document complet

... preservation. For more details on such procedures, the reader is referred for instance to [ 7 ...MUSCL scheme reads as follows: W i n+1,MUSCL = W i n − ∆t ∆x ∆ Fi + ∆tSi , (4) where ∆Fi and Si ... Voir le document complet