Finite Element-Volume and Finite Difference-Volume methods
Analysis of a finite volume-finite element method for Darcy-Brinkman two-phase flows in porous media
... discretization and simulation of multi-phase flow in porous media with Darcy velocity have been the object of several studies during the past ...the finite difference method can be found in the book ...
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Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
... general and unified framework for a posteriori error estimation in the finite volume method, and, in a larger sense, in any locally conservative ...cell-centered finite volume ...
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Finite volume/finite element schemes for compressible two-phase flows inheterogeneous and anisotropic porous media
... upstream finite difference method, we cite the work [ 94 ...Concerning finite volume schemes, we refer to this battery of con- tributions [ 10 , 14 , 20 , 23 , 25 , 61 , 71 , 70 , 79 , 99 ...
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Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations
... 12] and references ...anisotropy, and discrete duality finite volume (DDFV) meth- ods have this property, even in the case of discontinuous anisotropic diffusion, see [17, 4, 5] and ...
34
TPFA Finite Volume Approximation of Wasserstein Gradient Flows
... zero and disregarded [ 3 ]. In our framework this is not possible and to avoid dealing explicitly with the positivity constraint we use an interior point ...convex and singular in ...zero and ...
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Numerical simulation of impacts on elastic-viscoplastic solids with the flux-difference splitting finite volume method
... exist and permit to obtain different known finite volume schemes ...family, and is used in this ...viscosity, and to locally lower the order of accuracy to properly capture discon- ...
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Sharpening methods for finite volume schemes
... Cut-cells and CFL condition Taking as a principle that sharpening techniques have the ability to reconstruct interfaces, it appears that an interface which moves dynamically in a Cartesian mesh may cut cells into ...
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Finite volume schemes on staggered grids for gas dynamics
... formula and they do not require additional computational ...density and the entropy dissipation property under a suitable CFL condition [9], it is thus consistent with the Euler system ...difficulties, ...
189
Grid Orientation Effect in coupled Finite Volume Schemes
... structured and regular meshes (mainly based on rectangular parallelepipedic meshes) or Corner Point Geometry ...huge, and is impossible to exhaustively quote; let us only cite [4, 5, 9, 13, 14, 15] ...
25
MHD modeling and numerical simulation with finite volume-type methods. Application to fusion plasma
... two equations for the mechanical energies of the species, the two pressure equations ( 1.48 ) or the total energy equation and one pressure equation or any two independent equations derived from any combination of ...
188
Finite volume schemes for constrained conservation laws
... estimate (for consistency). As such, it can be used for treating problems where strong compactness properties are lacking, e.g., multi-dimensional conservation laws on unstructured meshes (see [ EGH00 ]). Nonetheless, in ...
35
First- and second-order finite volume methods for the one-dimensional nonconservative Euler system
... problem and we present an new approach based on the configuration identification where we propose a classification of the Riemann problem ...system and eigenvalues can cross or ...appear and we use ...
69
Local time steps for a finite volume scheme
... grid, and the set of discretized equations involves all the unknowns between two coarse time ...Stability and error analysis are ...step and taking as boundary conditions the fluxes computed during ...
34
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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Multiscale finite element methods for advection-diffusion problems
... theory and the inf-sup condition, and second on the invariant measures that may be associated to the ...classical, and we briefly overview them in Section ...standard and are the purpose of ...
220
Hybrid finite element methods for the Signorini problem
... those finite element methods is ...improved, and an error estimate on the Lagrange multiplier is stated (sections 4 and ...estimate and renders it con- ceptually coherent in ...
30
Multilevel solution strategies for unfitted finite element methods
... unfitted finite element methods have become quite ...the finite element method (FEM) [BS07, Bra07, LB13] poses certain challenges for modeling problems on the complex domains or for ...
173
A variational finite volume scheme for Wasserstein gradient flows
... GALLOUËT, AND GABRIELE TODESCHI Abstract. We propose a variational finite volume scheme to approximate the solutions to Wasserstein gradient ...lem, and we prove its convergence in the case of the ...
34
On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model
... present and study a numerical scheme for the capture of spatial patterns for a nonlinear degenerate volume-filling chemotaxis model over a general mesh, and with in- homogeneous and ...
30
A two-fluid finite-volume solver based on OpenCL
... • We perform the ALE-projection update in x-direction. We compute the fluxes balance in the x-direction for each cell of each row of the grid: a row or a part of a row is associated to one compute unit and one ...
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