Meshless RBF collocation for steady incompressible flows.
Meshless RBF collocation for steady incompressible flows.
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.
Chinchapatnam, P.P.
61221cab-afae-46d5-a6ea-14eb472d5522
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Nair, P.B.
d4d61705-bc97-478e-9e11-bcef6683afe7
Chinchapatnam, P.P.
61221cab-afae-46d5-a6ea-14eb472d5522
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Nair, P.B.
d4d61705-bc97-478e-9e11-bcef6683afe7
Chinchapatnam, P.P., Djidjeli, K. and Nair, P.B.
(2006)
Meshless RBF collocation for steady incompressible flows.
Proceedings: 36th AIAA Fluid Dynamics Conference and Exibit, San Francisco, California, USA.
04 - 07 Jun 2006.
(Submitted)
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Conference or Workshop Item
(Paper)
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.
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Submitted date: 2006
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Proceedings: 36th AIAA Fluid Dynamics Conference and Exibit, San Francisco, California, USA, 2006-06-04 - 2006-06-07
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Local EPrints ID: 43301
URI: http://eprints.soton.ac.uk/id/eprint/43301
PURE UUID: 692ca9be-e491-4112-82ae-cb7eaec560ec
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Date deposited: 22 Jan 2007
Last modified: 11 Dec 2021 16:15
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Author:
P.P. Chinchapatnam
Author:
P.B. Nair
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