Title
Nonlinear Darcy fluid flow with deposition.
Abstract
In this article we consider a model of a filtration process. The process is modeled using the nonlinear Darcy fluid flow equations with a varying permeability, coupled with a deposition equation. Existence and uniqueness of the solution to the modeling equations is established. A numerical approximation scheme is proposed and analyzed, with an a priori error estimate derived. Numerical experiments are presented which support the obtained theoretical results.
Year
DOI
Venue
2017
10.1016/j.cam.2016.06.025
J. Computational Applied Mathematics
Keywords
Field
DocType
65N30
Permeability (earth sciences),Uniqueness,Darcy's law,Mathematical optimization,Nonlinear system,Mathematical analysis,A priori and a posteriori,Filtration,Fluid dynamics,Darcy–Weisbach equation,Mathematics
Journal
Volume
Issue
ISSN
309
C
0377-0427
Citations 
PageRank 
References 
1
0.38
2
Authors
3
Name
Order
Citations
PageRank
Vincent J. Ervin111815.66
Hyesuk Lee2408.26
J. Ruiz-Ramírez310.38