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Meshless RBF collocation for steady incompressible flows.

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. 05 - 08 Jun 2006. (Submitted)

Record type: 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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More information

Submitted date: 2006
Venue - Dates: Proceedings: 36th AIAA Fluid Dynamics Conference and Exibit, 2006-06-05 - 2006-06-08

Identifiers

Local EPrints ID: 43301
URI: https://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: 13 Mar 2019 21:10

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Contributors

Author: P.P. Chinchapatnam
Author: K. Djidjeli
Author: P.B. Nair

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