Nonlinear Darcy fluid flow with deposition

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• 作者：V.J. Ervin ; ^{vjervin@clemson.edu" class="auth_mail" title="E-mail the corresponding author} ; Hyesuk Lee ^{hklee@clemson.edu" class="auth_mail" title="E-mail the corresponding author} ; J. Ruiz-Ramí ; rez ^{javier@clemson.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：65N30
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：79-94
• 全文大小：1832 K

文摘

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.