The alternating group explicit (AGE) iterative method for solving a Ladyzhenskaya model for stationary incompressible viscous flow

Authors: Fairag, F.¹; Sahimi, M. S.²

Source: International Journal of Computer Mathematics, Volume 85, Number 2, February 2008 , pp. 287-305(19)

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Abstract:

In this paper, the alternating group explicit (AGE) iterative method is applied to a nonlinear fourth-order PDE describing the flow of an incompressible fluid. This equation is a Ladyzhenskaya equation. The AGE method is shown to be extremely powerful and flexible and affords its users many advantages. Computational results are obtained to demonstrate the applicability of the method on some problems with known solutions. This paper demonstrates that the AGE method can be implemented to approximate solutions efficiently to the Navier-Stokes equations and the Ladyzhenskaya equations. Problems with a known solution are considered to test the method and to compare the computed results with the exact values. Streamfunction contours and some plots are displayed showing the main features of the solution.

Keywords: Alternating Group Explicit (AGE) method; Ladyzhenskaya equations; Navier-Stokes equations

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207160701455894

Affiliations: 1: Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia 2: Department of Engineering Sciences and Mathematics, Universiti Tenaga Nasional, Kajang, Selangor, Malaysia

Publication date: 2008-02-01

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