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Rotational Symmetry, Low Dissipation and use of Eigen Directions in Weighted LSKUM

Deshpande, SM and Anil, N and Malagi, KS and Arora, K (2005) Rotational Symmetry, Low Dissipation and use of Eigen Directions in Weighted LSKUM. In: Conference on Numerical Analysis and Scientific Computing for PDE's and their Challenging Applications, October 6-7, 2005, Center for Scientific Computing, Helsinki, Finland.


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The KFVS (Kinetic Flux Vector Splitting) and LSKUM (Least Squares Kinetic Upwind Method) since their inception have long gone into applications in various laboratories of India. This work presents the recent advancements made in KFVS and LSKUM. The theoretical basis of KFVS has been further established by casting it in the fibre bundle frame work. This explains why KFVS works so well. The violation of rotational invariance by LSKUM, like many other multidimensional solvers, has been addressed by developing KUMARI (Kinetic Upwind Method Avec Rotational Invariance). The dissipation inherent in the first order KFVS is reduced by developing modified KFVS (m-KFVS). It gives a control on the dissipation present in the scheme. The robustness is an extremely important aspect in flow problems for complex geometries. The weighted LSKUM precisely enhances the robustness of LSKUM by reducing the multidimensional least squares formulae for spatial derivatives to 1D formulae by appropriate choice of weights.

Item Type: Conference Paper
Keywords: KFVS;LSKUM;m-KFVS;wLSKUM;KUMARI;fibre bundles
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 09 Jun 2008
Last Modified: 19 Sep 2010 04:45
URI: http://eprints.iisc.ac.in/id/eprint/14228

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