A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids
| hal.structure.identifier | Centre d'études scientifiques et techniques d'Aquitaine [CESTA] | |
| hal.structure.identifier | Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS] | |
| dc.contributor.author | MAIRE, P.H. | |
| hal.structure.identifier | Centre d'Etudes Lasers Intenses et Applications [CELIA] | |
| dc.contributor.author | BREIL, Jérôme | |
| dc.date.accessioned | 2024-04-15T09:47:16Z | |
| dc.date.available | 2024-04-15T09:47:16Z | |
| dc.date.created | 2011 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/198083 | |
| dc.description.abstractEn | In this paper, we describe a high-order cell-centered finite volume method for solving anisotropic diffusion on two-dimensional unstructured grids. The resulting numerical scheme, named CCLAD (Cell-Centered LAgrangian Diffusion), is characterized by a local stencil and cell-centered unknowns. It is devoted to the resolution of diffusion equation on distorted grids in the context of Lagrangian hydrodynamics wherein a strong coupling occurs between gas dynamics and diffusion. The space discretization relies on the introduction of two half-edge normal fluxes and two half-edge temperatures per cell interface using the partition of each cell into sub-cells. For each cell, the two half-edge normal fluxes attached to a node are expressed in terms of the half-edge temperatures impinging at this node and the cell-centered temperature. This local flux approximation can be derived through the use of either a sub-cell variational formulation or a finite difference approximation, leading to the two variants CCLADS and CCLADNS. The elimination of the half-edge temperatures is performed locally at each node by solving a small linear system which is obtained by enforcing the continuity condition of the normal heat flux across sub-cell interface impinging at the node. The accuracy and the robustness of the present scheme is assessed by means of various numerical test cases. | |
| dc.language.iso | en | |
| dc.subject.en | Anisotropic diffusion | |
| dc.subject.en | isotropic diffusion | |
| dc.subject.en | cell-centered scheme | |
| dc.subject.en | high-order finite volume method | |
| dc.subject.en | two-dimensional unstructured grid | |
| dc.subject.en | cylindrical geometry | |
| dc.title.en | A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.hal.laboratories | Laboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00605548 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00605548v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=MAIRE,%20P.H.&BREIL,%20J%C3%A9r%C3%B4me&rft.genre=preprint |
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