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A finite volume–multigrid method for flow simulation on stratified porous media on curvilinear co‐ordinate systems
Author(s) -
Calvo Pablo,
Lisbona Francisco
Publication year - 2001
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.74
Subject(s) - curvilinear coordinates , multigrid method , discretization , finite volume method , porous medium , control volume , mechanics , numerical analysis , boundary value problem , mathematics , geometry , mathematical optimization , computer science , partial differential equation , mathematical analysis , porosity , engineering , physics , geotechnical engineering
This paper presents a numerical study of infiltration processes on stratified porous media. The study is carried out to examine the performance of a finite volume method on problems with discontinuous solutions due to the transmission conditions in the interfaces. To discretize the problem, a curvilinear co‐ordinate system is used. This permits matching the interface with the boundary of the control volumes that interchange fluxes between layers. The use of the multigrid algorithm for the resulting systems of equations allows problems involving a large number of nodes with low computational cost to be solved. Finally, some numerical experiments, which show the capillary barrier behaviour depending on the material used for the different layers and the geometric design of the interface, are presented. Copyright © 2001 John Wiley & Sons, Ltd.