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Weighted Least Squares Kinetic Upwind Method (WLSKUM) using Eigenvector Basis

Arora, Konark and Rajan, NKS and Deshpande, SM (2005) Weighted Least Squares Kinetic Upwind Method (WLSKUM) using Eigenvector Basis. In: 8th Annual AeSI CFD Symposium, 11-13 August, 2005, National Aerospace Laboratories, Bangalore - 560017. (Unpublished)


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The least squares grid-free method, though having the ability to work effectively on any distribution of points is limited by the requirement of a good connectivity around a node. This paper deals with a fundamental improvement over the usual least squares grid-free method to overcome this limitation of the grid-free method. The new approach involves the use of the weights to diagonalize the least squares matrix A such that the x and y directions become the eigen directions along which the higher dimensional least squares formulae reduce to the one dimensional formulae. A very important advantage of this approach (apart from improving the convergence characteristics of the grid-free solver) is that it helps in tackling the problems of code divergence due to the degenerate and other cases of bad connectivity.

Item Type: Conference Paper
Keywords: Gridfree;Connectivity;Eigenvector basis;Defect correction;LED
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 11 Jan 2007
Last Modified: 19 Sep 2010 04:20
URI: http://eprints.iisc.ac.in/id/eprint/3788

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