Paper Info
Title
A deposition model coupling Stokes' and Darcy's equations with nonlinear deposition.
Abstract
In this work we investigate a filtration process whereby particulate is deposited in the flow domain, causing the porosity of the region to decrease. The fluid flow is modeled as a coupled Stokes–Darcy flow problem and the deposition (in the Darcy domain) is modeled using a nonlinear equation for the porosity. Existence and uniqueness of a solution to the governing equations is established. Additionally, the nonnegativity and boundedness of the porosity is shown. A finite element approximation scheme that preserves the nonnegativity and boundedness of the porosity is investigated. Accompanying numerical experiments support the analytical findings.
Year
DOI
Venue
2018
10.1016/j.cam.2018.02.021
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
76505,76D07,35M10,35Q35,65M60,65M55
Uniqueness,Coupling,Nonlinear system,Porosity,Mathematical analysis,Flow (psychology),Finite element method,Filtration,Fluid dynamics,Mathematics
Journal
Volume
ISSN
Citations 
340
0377-0427
0
PageRank 
References 
Authors
0.34
7
2
Name
Order
Citations
PageRank
Vincent J. Ervin111815.66
J. Ruiz-Ramírez200.34