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A positive meshless method for hyperbolic equations

Praveen, C (2004) A positive meshless method for hyperbolic equations. 2004-FM-16.

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Abstract

A positive meshless method is constructed using least squares approximation for derivatives, upwinding and artificial dissipation. Godunov-type ideas and limiting procedures from finite-volume methods can be used in the present scheme. The method is applied to inviscid Euler equations in 2-D, and discontinuous flows are computed which show good oscillation-free solutions. Also, two new approaches to deriving a meshless finite difference formula are proposed which will avoid the need for using artificial dissipation terms.

Item Type: Departmental Technical Report
Keywords: Meshless methods;positive scheme;least squares;Euler equations
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.ernet.in/id/eprint/3755

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