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A New Grid-free Method for Conservation Laws

Chandrashekar, Praveen and Deshpande, SM (2002) A New Grid-free Method for Conservation Laws. In: Second International Conference on Computational Fluid Dynamics, July 15-19, 2002, Sydney. (In Press)

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Abstract

We present a grid-free or meshless approximation called the Kinetic Meshless Method (KMM), for the numerical solution of hyperbolic conservation laws that can be obtained by taking moments of a Boltzmann-type transport equation. The meshless formulation requires the domain discretization to have very little topological information; a distribution of points in the domain together with local connectivity information is sufficient. For each node $i$, the connectivity consists of a set of nearby nodes $\mC_i$ which are used to evaluate the spatial derivatives appearing in the conservation law. The derivatives are obtained using a modified form of the least squares approximation. The method is applied to the Euler equations for inviscid flow and results are presented for some 2-D problems.

Item Type: Conference Paper
Keywords: CFD;Meshless methods;kinetic scheme;compressible flow
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 01 Jun 2004
Last Modified: 19 Sep 2010 04:12
URI: http://eprints.iisc.ernet.in/id/eprint/112

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