Journal
APPLIED MATHEMATICAL MODELLING
Volume 32, Issue 9, Pages 1848-1858Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2007.06.019
Keywords
meshless method; radial basis functions; Navier-Stokes equations
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The pressure-velocity formulation of the Navier-Stokes (N-S) equation is solved using the radial basis functions (RBF) collocation method. The non-linear collocated equations are solved using the Levenberg-Marquardt method. The primary novelty of this approach is that the N-S equation is solved directly, instead of using an iterative algorithm for the primitive variables. Two flow situations are considered: Couette flow with and without pressure gradient, and 2D laminar flow in a duct with and without flow obstruction. The approach is validated by comparing the Couette flow results with the analytical solution and the 2D results with those obtained using the well-validated CFD-ACE (TM) commercial package. (c) 2007 Published by Elsevier Inc.
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