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[PDF] Top 20 A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids

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A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids

A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids

... describe a high-order cell-centered finite volume method for solving anisotropic diffusion on two-dimensional unstructured ... Voir le document complet

63

A high-order cell-centered finite volume scheme for simulating three dimensional anisotropic diffusion equations on unstructured grids

A high-order cell-centered finite volume scheme for simulating three dimensional anisotropic diffusion equations on unstructured grids

... be a sufficiently accurate and robust scheme to cope with unstructured three- dimensional grids composed of tetrahedral and/or hexahedral ...our finite volume ... Voir le document complet

44

A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids

A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids

... by a classical constitutive law for isotropic ...numerical scheme relies on a finite volume cell-centered method wherein numerical fluxes are expressed in terms of ... Voir le document complet

77

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems

... on unstructured polygonal grids, see for instance ...use a conservative cell-centered ...method for Lagrangian gas dynamics in one dimension, has been introduced by ... Voir le document complet

50

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction

... presenting a cell-centered indirect ALE algorithm to solve multi-material compressible flows on two-dimensional unstructured grids with fixed ...utilizing a moving ... Voir le document complet

44

Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for the one-dimensional Lagrangian hydrodynamics

Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for the one-dimensional Lagrangian hydrodynamics

... and high-order accurate methods which represent one of the most promising current trends in computational fluid dynamics [3, ...as a natural high-order extension of the classical ... Voir le document complet

19

Coupling two cell-centered finite volume schemes for solving anisotropic diffusion and fluid dynamics on unstructured moving meshes

Coupling two cell-centered finite volume schemes for solving anisotropic diffusion and fluid dynamics on unstructured moving meshes

... of a spacecraft at a low altitude. We developped a cell-centered finite volume scheme for solving anisotropic diffusion on unstructured ... Voir le document complet

3

High-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition

High-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition

... optimal order of convergence but suffers of several draw- ...the volume and interface integrals that we evaluate in the local basis (the reference element ...with high polynomial degrees and lead to ... Voir le document complet

23

A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes

A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes

... present a high-order cell-centered Lagrangian scheme for solving the two-dimensional gas dy- namics equations on unstructured ...meshes. A ... Voir le document complet

52

A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints

A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints

... in a distorted quadrilateral domain We finally consider a test case which is very similar to test 8 described in [11], again also provided in ...examine a convergence behavior, we modify it slightly, ... Voir le document complet

18

Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations

Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations

... important for anisotropic diffusion problems, which behave very dif- ferently at interfaces depending on the orientation of the ...discretizing anisotropic diffusion problems, the ... Voir le document complet

34

Local time steps for a finite volume scheme

Local time steps for a finite volume scheme

... between two coarse time ...to a coarse grid preconditionner of the Schur complement of the system where the refined region unknowns have been ...method. For each global time step, the problem is ... Voir le document complet

34

Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Model for Ion Transport

Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Model for Ion Transport

... compute a reference solution on a very fine mesh with 75 776 elements and mesh size hpT q « ...by a regular refinement, dividing the triangles into four triangles of the same ... Voir le document complet

34

A finite-volume scheme for a kidney nephron model

A finite-volume scheme for a kidney nephron model

... method for solving hyperbolic PDEs [5] [6] was adapted by Layton and Pitman, but the CFL condition they obtained was ...problem, a semi lagrangian-semi implicit (SLSI) method was implemented ...with ... Voir le document complet

7

Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations

Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations

... [42], for either discrete velocity models (Goldstein- Taylor-like) or linear scattering model (continuous in velocity), contain some partial ...with a very detailed stability analysis. Note that the ... Voir le document complet

40

A finite volume scheme for a Keller-Segel model with additional cross-diffusion

A finite volume scheme for a Keller-Segel model with additional cross-diffusion

... e.g., volume-filling effects), to allow for degenerate cell diffusion, to include suitable growth-death terms (see [24] for references) or to assume saturated chemotactic fluxes ... Voir le document complet

30

A nonlinear finite volume scheme satisfying maximum and minimum principles for diffusion operators

A nonlinear finite volume scheme satisfying maximum and minimum principles for diffusion operators

... However, a few non-linear methods have been proposed. In [BUR 04], a non lin- ear correction of a finite linear element scheme is ...heterogeneous anisotropic tensors are not ... Voir le document complet

21

Evolution of anisotropic diffusion in two-dimensional heterogeneous environments

Evolution of anisotropic diffusion in two-dimensional heterogeneous environments

... in a bounded two-dimensional habitat, where the resources are distributed heterogeneously across the ...landscape. A natural question is how organisms should distribute themselves in the space ... Voir le document complet

33

Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann- BGK-like equations in the diffusion scaling

Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann- BGK-like equations in the diffusion scaling

... since a few number of particles will be nec- essary to sample the (small) non equilibrium ...quires a splitting between transport and source terms whereas in [13, 6], the stiffest (source) term is used to ... Voir le document complet

9

A variational finite volume scheme for Wasserstein gradient flows

A variational finite volume scheme for Wasserstein gradient flows

... ensured for a sufficiently small time step by taking u n,0 = u n−1 ...than a prescribed tolerance or if the maximum number of iterations is ... Voir le document complet

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