Subscription or Fee Access
New Preconditioned Group Methods for the Solution of a Coupled System of Partial Differential Equations
The suitability of the four-point Explicit Decoupled Group (EDG) iterative method in solving a twodimensional steady-state Navier-Stokes equation was demonstrated in (Ali and Abdullah, 1999) where the iterative group scheme derived from the rotated five-point formula converges more rapidly than the standard point scheme based on the centred difference formula. The Navier-Stokes equation was considered in a stream-function and vorticity formulation which resulted in a Poisson equation coupled with a convection-diffusion equation. The numerical results were also shown to be in agreement with their theoretical computational complexity analysis. In this paper, we study the applicability of a suitable splitting-type block preconditioner applied to this group scheme as a way to further improve the convergence rate of the method in solving the steady-state Navier-Stokes equation. Several numerical experiments were carried out and the results will be discussed to confirm the superiority of the proposed method over its original unpreconditioned counterpart.
steady-state Navier-Stokes equations, preconditioning method, explicit decoupled group (EDG)
Disclaimer/Regarding indexing issue:
We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.