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Zbl 1155.65371
Liu, Wei; Yuan, Yirang
Finite difference schemes for two-dimensional miscible displacement flow in porous media on composite triangular grids. (English)
[J] Comput. Math. Appl. 55, No. 3, 470-484 (2008). ISSN 0898-1221

Summary: Considering two-dimensional miscible displacement flow in porous media, the local grid refinement method of a coupled system on triangular cell-centered grids with local refinement in space is studied. Based on the balance equation, finite difference schemes of the coupled equations on composite grids are constructed. Studying their stability and convergence properties, the error estimate in the energy norm is obtained. Finally, a numerical example is given.

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)

Keywords: finite difference scheme; miscible displacement; coupled equations; local grid refinement; triangular grids

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