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Upwind finite volume method

A central-upwind geometry-preserving method for hyperbolic conservation laws on the sphere

A central-upwind geometry-preserving method for hyperbolic conservation laws on the sphere

... central-upwind finite volume method for the discretization of nonlinear hy- perbolic conservation laws posed on the two-dimensional ...proposed method is based on a technique of local ...

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On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model

On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model

... degenerate volume-filling chemotaxis model over a general mesh, and with in- homogeneous and anisotropic diffusion ...a finite volume scheme for a degenerate chemotaxis model over a homogeneous ...

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Numerical simulation of impacts on elastic-viscoplastic solids with the flux-difference splitting finite volume method

Numerical simulation of impacts on elastic-viscoplastic solids with the flux-difference splitting finite volume method

... Transverse fluxes The second contribution to additional fluxes (16) enables to improve the stability of the nu- merical scheme, so that the Courant number can be set at one. These fluxes allows to account for ...

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Upwind Stabilized Finite Element Modelling of Non-hydrostatic Wave Breaking and Run-up

Upwind Stabilized Finite Element Modelling of Non-hydrostatic Wave Breaking and Run-up

... order method for treating discontinuities and high order ones, when the solution is smooth, so that, when occurring spurious oscillations, this smoothing tool provides for their elimination from the ...through ...

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Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions

Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions

... new finite volume method for computing numerical approx- imations of a system of nonlocal transport equation modeling interacting ...This method is based on the work ...of upwind type ...

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Monotone combined finite volume-finite element scheme for a bone healing model

Monotone combined finite volume-finite element scheme for a bone healing model

... FV method with an upwind discretization of the convective terms provides the stability and is extremely ...the finite element (FE) method allows for an easy discretization of diffusive terms ...

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A Three dimensional Transient Two-Phase Flow Analysis with a Density Pertubation Finite Volume Method

A Three dimensional Transient Two-Phase Flow Analysis with a Density Pertubation Finite Volume Method

... Perturbation Method to study the Eigenstructure of Two-Phase Flow Equation Systems, Journal of Computational Physics, ...of upwind schemes for non-equilibrium transient two- phase flows, Computers & ...

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TPFA Finite Volume Approximation of Wasserstein Gradient Flows

TPFA Finite Volume Approximation of Wasserstein Gradient Flows

... Given the particular form of the problem, finite volumes appear as a natural choice for its discretization, their relation with optimal transport being already highlighted in, e.g., [ 5 ]. The preservation of the ...

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A second-order geometry-preserving finite volume method for conservation laws on the sphere

A second-order geometry-preserving finite volume method for conservation laws on the sphere

... element method for shallow water system on the ...Galerkin method which combines the finite element with finite volume ...two finite volume methods to solve linear ...

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Sharpening methods for finite volume schemes

Sharpening methods for finite volume schemes

... 2.8 Vofire We give some details of the Vofire method, which is a multidimensional non- linear FV scheme. The geometrical idea relies on the following observation: in dimension greater than 2, the numerical ...

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The Discrete Duality Finite Volume Method for Convection Diffusion Problems

The Discrete Duality Finite Volume Method for Convection Diffusion Problems

... duality finite volume method, polynomial recon- struction, diamond scheme, unstructured meshes, polygonal ...The finite volume (FV) approximation to the steady convection- diffusion ...

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Inf-Sup Stability of the Discrete Duality Finite Volume method for the 2D Stokes problem

Inf-Sup Stability of the Discrete Duality Finite Volume method for the 2D Stokes problem

... Conversely, in Section 4, we prove that for some other mesh families (of Carte- sian type), the Inf-Sup stability does not hold. However, we can provide a precise description of the instability by establishing that there ...

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A 3D cell-centered ADER MOOD Finite Volume method for solving updated Lagrangian hyperelasticity on unstructured grids

A 3D cell-centered ADER MOOD Finite Volume method for solving updated Lagrangian hyperelasticity on unstructured grids

... 6 Conclusions and perspectives This paper considers the second-order accurate cell-centered Lagrangian scheme originally designed for the hydrodynamics system of conservation laws [13], and, extends it to solve the ...

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A finite volume method for numerical grid generation

A finite volume method for numerical grid generation

... Possible implementation schemes for ‘automatic’ control functions: a boundary j values fixed to desired values; b j solved at the boundary, and source term adjusted until j reaches desir[r] ...

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Grid Orientation Effect in coupled Finite Volume Schemes

Grid Orientation Effect in coupled Finite Volume Schemes

... The numerical simulation of two-phase flow in a porous medium may lead, when using coupled finite volume schemes on structured grids, to the apparition of the so-called Grid Ori- entation Effect (GOE). We ...

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Finite volume Galerkin methods for viscous gas dynamics

Finite volume Galerkin methods for viscous gas dynamics

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

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Finite volume schemes on staggered grids for gas dynamics

Finite volume schemes on staggered grids for gas dynamics

... We begin with the development of a 2d version of the scheme on Cartesian (or mac) grids, at order 2 via a muscl type method, for the barotropic equations at first and then for the complete equations. The latter ...

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Local time steps for a finite volume scheme

Local time steps for a finite volume scheme

... solution method uses an iterative method associated to a coarse grid preconditionner of the Schur complement of the system where the refined region unknowns have been ...the method is ...solution ...

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Finite volume schemes for constrained conservation laws

Finite volume schemes for constrained conservation laws

... for finite volume schemes adapted to the constrained problem ( 1 - 3 ...three-point finite volume scheme (see [ EGH00 ]) and denote by g(u, v) the associated numerical flux; at the interface ...

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Functional renormalisation group in a finite volume

Functional renormalisation group in a finite volume

... a finite volume and the integrated flow of ∆ ˙p k ...a finite volume and at finite temperature, ...a volume and/or temperature de- pendent renormalisation ...

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