A Finite Difference Scheme for Compressible Miscible Displacement Flow in Porous Media on Grids with Local Refinement in Time | Zendy

Wei Liu | Zendy

Open Access

A Finite Difference Scheme for Compressible Miscible Displacement Flow in Porous Media on Grids with Local Refinement in Time

Author(s) -

Wei Liu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/521835

Subject(s) - mathematics , porous medium , compressibility , interpolation (computer graphics) , displacement (psychology) , norm (philosophy) , finite difference , compressible flow , linear interpolation , flow (mathematics) , finite difference method , scheme (mathematics) , mathematical analysis , porosity , geometry , mechanics , polynomial , motion (physics) , classical mechanics , geotechnical engineering , geology , physics , psychology , political science , law , psychotherapist

Considering two-dimensional compressible miscible displacement flow in porous media, finite difference schemes on grids with local refinement in time are constructed and studied. The construction utilizes a modified upwind approximation and linear interpolation at the slave nodes. Error analysis is presented in the maximum norm and numerical examples illustrating the theory are given

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