Benchmark 3D: CeVe-DDFV, a discrete duality scheme with cell/vertex unknowns.

Yves Coudiere (1) , Charles Pierre (2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

The "3D anisotropy Benchmark" (http://www.latp.univ-mrs.fr/latp_numerique/?q=node/4) addresses a three-dimensional anisotropic diffusion problem, which is discretized on general, possibly non-conforming meshes. In most cases, the diffusion tensor is taken to be anisotropic, and at times heterogeneous and/or discontinuous. This paper presents numerical results to this benchmark for a 3D Cell and Vertex centered DDFV scheme. The method applies to very general 3D meshes including non conformal ones. Its princples and construction is presented as well as its implementation for diffusion problems.

Keywords: Anisotropy benchmark; Finite volumes; Gradient reconstruction; Discrete duality.; Discrete duality

Domains: Numerical Analysis [math.NA]

Yves Coudiere, Charles Pierre. Benchmark 3D: CeVe-DDFV, a discrete duality scheme with cell/vertex unknowns.. Int. symposium on Finite Volumes for Complex Applications VI. Praha, 2011, May 2011, Praha, Czech Republic. pp.1-10. ⟨hal-00561980v2⟩