Finite volume element approximation of the coupled continuum pipe‐flow/Darcy model for flows in karst aquifers | Zendy

Liu Wei | Zendy; Kang Zhijiang | Zendy; Rui Hongxing | Zendy

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Finite volume element approximation of the coupled continuum pipe‐flow/Darcy model for flows in karst aquifers

Author(s) -

Liu Wei,

Kang Zhijiang,

Rui Hongxing

Publication year - 2014

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.21813

Subject(s) - mathematics , darcy's law , aquifer , decoupling (probability) , finite element method , discretization , norm (philosophy) , porous medium , darcy–weisbach equation , finite volume method , representative elementary volume , flow (mathematics) , partial differential equation , karst , mechanics , mathematical analysis , porosity , geotechnical engineering , geology , geometry , groundwater , engineering , physics , structural engineering , control engineering , political science , law , paleontology

A finite volume element method is applied to approximate the continuum pipe‐flow/Darcy problem, which models the coupled conduit flow and porous media flow in Karst aquifers. A decoupled scheme is proposed for solving the coupled discretization problem. Optimal error estimates in L 2 norm and H 1 norm are given in this article. Some numerical examples are presented to verify the theoretical results and demonstrate the effectiveness of the decoupling approach. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 376–392, 2014

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