Haut PDF A well-balanced Discontinuous-Galerkin Lagrange-Projection scheme for the Shallow Water Equations
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 ...
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An all-regime and well-balanced Lagrange-projection type scheme for the shallow water equations on unstructured meshes
... on the numerical approximation of the shallow water equations in two space ...propose a well-balanced, all-regime and positive ...By well-balanced, it ...
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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 ...
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A second-order well-balanced scheme for the shallow-water equations with topography
... shallow-water equations with topography Christophe Berthon, Raphaël Loubère and Victor Michel-Dansac Abstract We consider the well-balanced numerical scheme for ...
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A well-balanced scheme for the shallow-water equations with topography
... 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. ...
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A well-balanced scheme for the shallow-water equations with topography or Manning friction
... 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 ...
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A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction
... 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 ...
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A large time-step and well-balanced Lagrange-Projection type scheme for the shallow-water equations
... 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 ...
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A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with Manning friction
... 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 ...
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A well-balanced finite volume scheme for 1D hemodynamic simulations
... with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations ...get a ...
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A FULLY WELL-BALANCED, POSITIVE AND ENTROPY-SATISFYING GODUNOV-TYPE METHOD FOR THE SHALLOW-WATER EQUATIONS
... 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 ...
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A "well-balanced" finite volume scheme for blood flow simulation
... 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 ...
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A well-balanced numerical scheme for a one dimensional quasilinear hyperbolic model of chemotaxis
... 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 ...
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Overland flow modelling with the Shallow Water Equation using a well balanced numerical scheme: Adding efficiency or just more complexity?
... 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 ...
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Well balanced residual distribution for the ALE spherical shallow water equations on moving adaptive meshes
... 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 ...
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A limitation of the hydrostatic reconstruction technique for Shallow Water equations
... 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 ...
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A well-balanced scheme for a transport equation with varying velocity and irregular opacities
... 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 ...
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Shallow water equations for large bathymetry variations
... 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 ...
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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 SPH method and ...
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A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations
... 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 ...
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