期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 47, 期 6, 页码 4163-4192出版社
SIAM PUBLICATIONS
DOI: 10.1137/080731219
关键词
convection-diffusion equation; discrete duality finite volume method; polynomial reconstruction; diamond scheme; unstructured meshes; polygonal meshes
资金
- University of Nantes
- Programma Professori Visitatori held by Gruppo Nazionale Calcolo Scientifico (GNCS-INdAM)
In this paper we extend the discrete duality finite volume (DDFV) formulation to the steady convection-diffusion equation. The discrete gradients defined in DDFV are used to define a cell-based gradient for the control volumes of both the primal and dual meshes, in order to achieve a higher-order accurate numerical flux for the convection term. A priori analysis is carried out to show convergence of the approximation, and a global first-order convergence rate is derived. The theoretical results are confirmed by some numerical experiments.
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