Title

Direct Solution Of Navier-Stokes Equations By Radial Basis Functions

Keywords

Meshless method; Navier-Stokes equations; Radial basis functions

Abstract

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™ commercial package. © 2007.

Publication Date

9-1-2008

Publication Title

Applied Mathematical Modelling

Volume

32

Issue

9

Number of Pages

1848-1858

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.apm.2007.06.019

Socpus ID

43949092130 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/43949092130

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