# 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

**a**natural extension to

**the**present setting of

**the**first- order

**well**-

**balanced**

**Lagrange**-

**Projection**

**scheme**developed in [7]

**for**

**the**

**shallow**...

27

### An all-regime and well-balanced Lagrange-projection type scheme for the shallow water equations on unstructured meshes

**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

**a**numerical

**scheme**

**for**

**the**

**shallow**-

**water**...system.

**The**

**scheme**under consideration has been proven to preserve

**the**positivity of

**the**...

7

### 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

**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 ...

64

### A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction

**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

**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 ...

25

### A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with Manning friction

**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 ...

32

### A well-balanced finite volume scheme for 1D hemodynamic simulations

**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

**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

**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

**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 ...

29

### Overland flow modelling with the Shallow Water Equation using a well balanced numerical scheme: Adding efficiency or just more complexity?

**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

**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 ...

52

### A limitation of the hydrostatic reconstruction technique for Shallow Water equations

**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

**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**...

12

### Shallow water equations for large bathymetry variations

**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 ...

8

### 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 ...

9

### A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations

**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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