Finite volume discretization
A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation
... DUALITY FINITE VOLUME DISCRETIZATION OF THE LAPLACE EQUATION PASCAL OMNES † ‡ , YOHAN PENEL † ‡ , AND YANN ROSENBAUM † ‡ ...duality finite volume discretization of the Laplace ...
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Total-velocity-based finite volume discretization of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure
... (DG) discretization and developed in [ 34 ] based on a Mixed Finite Element (MFE) ...gradient discretization [ 19 ], including various conforming and non-conforming methods, was conceived and ...
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A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids
... A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids S´ebastien Boyaval Abstract Saint-Venant equations can be generalized to account for a viscoelastic rheology in ...
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TPFA Finite Volume Approximation of Wasserstein Gradient Flows
... with (ρ, F ) ∈ P T × F T such that (ρ K − ρ n−1 K )m K + τ n P σ∈Σ K F K,σ m σ = 0 and ρ K ≥ 0, ∀K ∈ T . We take as measure of the diamond cell dm ∆ σ , as it is classically done in order to compensate the unidirectional ...
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Finite volume/finite element schemes for compressible two-phase flows inheterogeneous and anisotropic porous media
... traditional finite difference methods are described in the books [ 17 , 108 ]. Finite element and mixed finite element schemes have been greatly of importance to deal with general meshes and ...
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Analysis of finite difference discretization schemes for diffusion in spheres with variable diffusivity
... Scheme 2 has poor numerically accuracy in simulating the concentration profiles in Case V. The numerical instabilities and inaccuracies of Scheme 2 can be induced by the central difference discretization of the ...
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The Generalized Finite Volume SUSHI Scheme for the Discretization of Richards Equation
... log(err(u i )/err(u i+1 )) log(h D i /h D i+1 ) , (7.4) where u i is the solution corresponding to the space discretization D i . Table 1 shows the error using a uniform square mesh with various mesh sizes and ...
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Automatic coupling and finite element discretization of the Navier-Stokes and heat equations
... and finite element discretization of the Navier–Stokes and heat equations by Christine Bernardi ∗ , Fr´ed´eric Coquel ∗,† , and Pierre-Arnaud Raviart ∗ Abstract: We consider the finite element ...
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A posteriori analysis of a finite element discretization of a Naghdi shell model
... 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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A variational finite volume scheme for Wasserstein gradient flows
... finite volume scheme to approximate the solutions to Wasserstein gradient ...time discretization is based on an implicit linearization of the Wasserstein distance expressed thanks to Benamou-Brenier formula, ...
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A combined finite volume - finite element scheme for a dispersive shallow water system
... kinetic finite volume solver and the correction step implies to solve a mixed problem where the velocity and the pressure are defined in compatible finite element ...
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Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles
... Numerical results for a clamped plate with midpoint scheme In the following figures are given the energy evolutions for different time steps, for midpoint scheme with singular mass matrix.[r] ...
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A convergent finite volume scheme for dissipation driven models with volume filling constraint
... 2.3. Control on the entropy production and weak formulation. As already mentioned in Section 2.1, the numerical analysis to be carried out in the paper does not rely on the energy dissipation estimate (7) but rather on ...
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A two-fluid finite-volume solver based on OpenCL
... All the processing elements have access to the global memory but have only access to the local memory of their compute unit.. The access to the..[r] ...
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Local time steps for a finite volume scheme
... Herbin. Finite volume ...analysis, volume 7, pages ...approximate finite volume solution of convection diffusion equations with general boundary ...
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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
... denoting by p n+1 K the pressure in the control volume K at time t n+1 , by |σ K,L | the measure in R d−1 of σ K,L , and by d(x K , x L ) the distance between x K and x L . The value m is set to n in the case of ...
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A finite-volume scheme for a kidney nephron model
... A FINITE-VOLUME SCHEME FOR A KIDNEY NEPHRON MODEL Aur´ elie Edwards 1 , Nicolas Seguin 2 and Magali Tournus 3 ...a finite volume type scheme to solve a transport nephron ...
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Comparisons of FV-MHMM with other finite volume multiscale methods
... On the 84th layer (Fig. 8 b), MsFv and MsRSB efficiently smooth out their errors, while weighting schemes for FV-MHMM allow to reduce the error in better representing the flow at the boundaries when computing basis ...
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On Vertex-Centered Unstructured Finite-Volume Methods for Stretched Anisotropic Triangulations
... 1 Introduction Most existing CFD codes rely on finite-volume schemes resulting in a five point stencil for advection. These schemes are of low cost, but of second-order accuracy only on quasi- cartesian ...
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