Affiliation:
1. Université Côte d’Azur, Inria, CNRS, LJAD Parc Valrose, F-06108 Nice, France
Abstract
Abstract
This paper is concerned with the construction of a discrete conservative operator on a mesh, knowing a conservative operator on a different mesh. We analyse the possibility of defining such a transfer based on the preservation of conservation properties and provide practical procedures, which can be effectively implemented for schemes that work on staggered grids. We show that such a transfer can be applied to obtain a discrete balance equation on a mesh starting from a discrete balance equation on a different mesh, and to prove local discrete duality relations for standard discrete operators defined on staggered grids.
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Computational Mathematics,General Mathematics
Reference27 articles.
1. A gradient reconstruction formula for finite volume schemes and discrete duality;Andreianov,2008
2. Discrete duality finite volume schemes for Leray–Lions-type elliptic problems on general 2D meshes;Andreianov;Numer. Methods Partial Differ. Equ.,2007
3. An ${\textrm{L}}^2$-stable approximation of the Navier–Stokes convection operator for low-order non-conforming finite elements;Ansanay-Alex;Int. J. Numer. Meth. Fluids,2011
4. Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon;Arnold;Ann. Scuola Norm. Sci. (4),1988
5. Stability of a Crank–Nicolson pressure correction scheme based on staggered discretizations;Boyer;Int. J. Numer. Meth. Fluids,2014
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献