Finite volume scheme based on cell-vertex reconstructions for anisotropic diffu...

• Autor(es): Costa, Ricardo ; Clain, St??phane ; Machado, Gaspar J.
• Data: 2014
• Identificador Persistente: http://hdl.handle.net/1822/30273
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Finite volume; Second-order; Non-homogeneous; Anisotropic diffusion
• Tipo de Documento: Documento de conferência
• Idioma: Inglês

Descrição

We propose a new second-order finite volume scheme for non-homogeneous and anisotropic diffusion problems based on cell to vertex reconstructions involving minimization of functionals to provide the coefficients of the cell to vertex mapping. The method handles complex situations such as large preconditioning number diffusion matrices and very distorted meshes. Numerical examples are provided to show the effectiveness of the method.