Meshless RBF collocation for steady incompressible flows.

Chinchapatnam, P.P., Djidjeli, K. and Nair, P.B. (2006) Meshless RBF collocation for steady incompressible flows. In, Proceedings: 36th AIAA Fluid Dynamics Conference and Exibit, San Francisco, California, USA, 05 - 08 Jun 2006. (Submitted)

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Description/Abstract

A meshless solver for the steady incompressible Navier-Stokes equations using radial basis functions is presented. The problem of implementing boundary conditions is circumvented using a ghost center strategy. A methodology for tuning the
shape parameter in the present method is also presented. The nonlinear system of equations arising from spatial discretization is solved using a trust-region dogleg strategy. The meshless formulation is validated by solving the lid-driven cavity problem for different Reynolds numbers. Numerical results obtained with a small set of points are shown to be in very good agreement
with the benchmark solution.

Item Type:Conference or Workshop Item (Paper)
Subjects:T Technology > TC Hydraulic engineering. Ocean engineering
T Technology > TA Engineering (General). Civil engineering (General)
Divisions:University Structure - Pre August 2011 > School of Engineering Sciences > Computational Engineering and Design
ePrint ID:43301
URI:http://eprints.soton.ac.uk/id/eprint/43301
Deposited On:22 Jan 2007
Last Modified:02 Mar 2012 13:29

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