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High-Order finite volume

High-order Finite Volume WENO schemes for non-local multi-class traffic flow models

High-order Finite Volume WENO schemes for non-local multi-class traffic flow models

... the Finite Volume WENO (FV-WENO) schemes ...Villada. High-order numerical schemes for one-dimensional non-local conservation ...in order to obtain high-order of ...

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A high-order finite volume method with improved isotherms reconstruction for the computation of multiphase flows using the Navier–Stokes–Korteweg equations

A high-order finite volume method with improved isotherms reconstruction for the computation of multiphase flows using the Navier–Stokes–Korteweg equations

... Figure 4: In (a), we show a representation of the dimensionless Gibbs free energy depending on b v with b T = 0.85 and b P = 0.187, which produces two minima with the same free energy value. The figure shows the state of ...

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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

... [3]. Integration over the cell is a major difficulty. Indeed, while Gaussian points are well-located for simple geometries, it seems almost impossible to derive numerical quadratures rules for generic curved element ...

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A naturally anti-diffusive compressible two phases Kapila model with boundedness preservation coupled to a high order finite volume solver

A naturally anti-diffusive compressible two phases Kapila model with boundedness preservation coupled to a high order finite volume solver

... a high order finite volume solver using moving least square reconstruction (MLS) [19] ...a high spatial order of accu- racy to be obtained for the ...the volume fraction. However, ...

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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

... The main feature of CCLAD scheme lies in the introduction of two half-edge normal fluxes and two half-edge temperatures per edge. For each cell, the two half-edge normal fluxes impinging on a node are expressed in terms ...

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Finite volume schemes on staggered grids for gas dynamics

Finite volume schemes on staggered grids for gas dynamics

... We wish to propose a second order extension of this scheme, by adapting the muscl principles [117] to the staggered framework. This work is organized as follows. We start by explaining in Section 1.2 the ...

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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

... combined finite volume-finite element scheme for a bone healing model Marianne Bessemoulin-Chatard and Mazen Saad Abstract We define a combined edge FV-FE scheme for a bone healing ...

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Grid Orientation Effect in coupled Finite Volume Schemes

Grid Orientation Effect in coupled Finite Volume Schemes

... hence defining the decoupled scheme. Note that in this decoupled case, the upstream weighted finite volume (5) may be proved, for any value of ω ∈ [0, 1 4 ], to converge to the unique entropy weak solution ...

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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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Local time steps for a finite volume scheme

Local time steps for a finite volume scheme

... side, which are not grid points. As in [6], the values of the unknown at these slave points are obtained by linear interpolation in time between the corresponding nodes of the coarse grid, and the set of discretized ...

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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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On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes

On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes

... more general meshes is an open issue, in particular on families of non homothetically refined triangular meshes. The aim of this article is to show that, when Ω is a two-dimensional convex polygonal bounded domain ...

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Variational analysis of a mixed finite element : finite volume scheme on general triangulation

Variational analysis of a mixed finite element : finite volume scheme on general triangulation

... Variational analysis of a mixed finite element : finite volume scheme on general triangulation Katherine Mer.. To cite this version: Katherine Mer.[r] ...

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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 Centered Second-Order Finite Volume Scheme for the Heterogeneous Maxwell Equations in Three Dimensions on Arbitrary Unstructured Meshes

A Centered Second-Order Finite Volume Scheme for the Heterogeneous Maxwell Equations in Three Dimensions on Arbitrary Unstructured Meshes

... A centered second-order finite volume scheme for the heterogeneous Maxwell equations in three dimensions on arbitrary unstructured meshes Serge Piperno — Malika Remaki — Loula Fezoui.. a[r] ...

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Finite volume schemes for constrained conservation laws

Finite volume schemes for constrained conservation laws

... The main difficulty in dealing with the constraint ( 3 ) is that the solution may develop stationary non-classical shocks at x = 0; a non-classical entropy condi- tion is needed in order to govern the ...

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A two-fluid finite-volume solver based on OpenCL

A two-fluid finite-volume solver based on OpenCL

... 1.4 Initial conditions We present a two-dimensional test that consists in simulating the interaction of a shock wave propagating in a liquid and interacting with a gas cylinder (bubble). It is a difficult problem, both ...

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A tree-cotree splitting for the construction of divergence-free finite elements: the high-order case

A tree-cotree splitting for the construction of divergence-free finite elements: the high-order case

... be used for the moments of L r+1 ) and can be also useful to understand the structure of the graph. The construction is based on a spanning tree of the graph given by vertices and edges of the mesh (the so-called global ...

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On high-order multilevel optimization strategies

On high-order multilevel optimization strategies

...  function evaluations to find a first-order critical point, where ǫ denotes the absolute accuracy level. However, the use of higher-models come along with higher computational costs. The main cost per iteration ...

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On High-Order Multilevel Optimization Strategies

On High-Order Multilevel Optimization Strategies

... methods, high-order optimization model, global convergence, complexity estimation, error bound, tensor ...of high-order multilevel optimization methods for unconstrained ...of ...

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