Radial basis function meshless method for the steady incompressible Navier-Stokes equations
Radial basis function meshless method for the steady incompressible Navier-Stokes equations
A meshless collocation method based on radial basis functions is proposed for solving the steady incompressible Navier-Stokes equations. This method has the capability of solving the governing equations using scattered nodes in the domain. We use the streamfunction formulation, and a trust-region method for solving the nonlinear problem. The no-slip boundary conditions are satisfied using a ghost node strategy. The efficiency of this method is demonstrated by solving three model problems: the driven cavity flows in square and rectangular domains and flow over a backward-facing step. The results obtained are in good agreement with benchmark solutions.
meshfree, meshless, radial basis functions, navier-stokes, convection
1509-1521
Chinchapatnam, Phani P.
030a7425-a25f-4e81-905e-85759433a29a
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Nair, Prasanth B.
ecde4c5a-d628-4128-93b9-ce3e4561f0e8
October 2007
Chinchapatnam, Phani P.
030a7425-a25f-4e81-905e-85759433a29a
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Nair, Prasanth B.
ecde4c5a-d628-4128-93b9-ce3e4561f0e8
Chinchapatnam, Phani P., Djidjeli, K. and Nair, Prasanth B.
(2007)
Radial basis function meshless method for the steady incompressible Navier-Stokes equations.
International Journal of Computer Mathematics, 84 (10), .
(doi:10.1080/00207160701308309).
Abstract
A meshless collocation method based on radial basis functions is proposed for solving the steady incompressible Navier-Stokes equations. This method has the capability of solving the governing equations using scattered nodes in the domain. We use the streamfunction formulation, and a trust-region method for solving the nonlinear problem. The no-slip boundary conditions are satisfied using a ghost node strategy. The efficiency of this method is demonstrated by solving three model problems: the driven cavity flows in square and rectangular domains and flow over a backward-facing step. The results obtained are in good agreement with benchmark solutions.
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Published date: October 2007
Keywords:
meshfree, meshless, radial basis functions, navier-stokes, convection
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Local EPrints ID: 48783
URI: http://eprints.soton.ac.uk/id/eprint/48783
ISSN: 0020-7160
PURE UUID: ea44c2e2-fb02-472f-8d99-d1113f5c42e4
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Date deposited: 12 Oct 2007
Last modified: 15 Mar 2024 09:49
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Author:
Phani P. Chinchapatnam
Author:
Prasanth B. Nair
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