Premium
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