Standard numerical schemes for coupled parallel flow over porous layers
Author | Siyyam, H. |
Author | Merabet, N. |
Author | Hamdan, M.H. |
Available date | 2010-01-07T08:28:44Z |
Publication Date | 2007-12 |
Publication Name | Applied Mathematics and Computation |
Identifier | http://dx.doi.org/10.1016/j.amc.2007.04.003 |
Citation | Siyyam, H., Merabet, N., & Hamdan, M. H. (2007). Standard numerical schemes for coupled parallel flow over porous layers. Applied Mathematics and Computation, 194, 38–45 |
Abstract | In this work, we develop finite difference schemes of various orders of accuracy that are suitable for the simulation of flow through and over porous layers. The flow through the porous layer is assumed to be governed by a Brinkman-type equation, and that through free-space by the Navier-Stokes equations. Matching conditions at the interface between layers are invoked to derive numerical expressions for the velocity and shear stress. Results are compared with the exact solution of flow through a channel bounded by a porous layer. © 2007 Elsevier Inc. All rights reserved. |
Language | en |
Publisher | Elsevier |
Subject | Numerical schemes Porous layers |
Type | Article |
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Mathematics, Statistics & Physics [740 items ]