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Convergence acceleration of an upwind least squares finite difference based meshless solver

Sridar, D and Balakrishnan, N (2006) Convergence acceleration of an upwind least squares finite difference based meshless solver. In: Aiaa Journal, 44 (10). pp. 2189-2196.

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Abstract

One of the important trends in the present day CFD research is the development of new class of flow solvers called meshless solvers. All that this class of solvers require is a distribution of points in the computational domain. The development of upwind least squares finite difference method can be considered as a landmark event in the advances being made in the area of meshless solvers. In this paper, we propose an implicit time integration methodology for upwind least squares finite difference procedure. The idea of matrix-free implicit procedure in the framework of finite volume solver has been exploited in the present work to obtain a cheap and robust implicit time integration procedure. The present formulation shows excellent convergence acceleration over the explicit upwind least squares finite difference procedure.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Institute Of Aeronautics And Astronautics.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 16 Mar 2009 09:05
Last Modified: 19 Sep 2010 05:24
URI: http://eprints.iisc.ernet.in/id/eprint/18572

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