Direct solution of Navier-Stokes equations by radial basis functions

    Authors

    G. Demirkaya; C. W. Soh;O. J. Ilegbusi

    Comments

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    Abbreviated Journal Title

    Appl. Math. Model.

    Keywords

    meshless method; radial basis functions; Navier-Stokes equations; PARTIAL-DIFFERENTIAL-EQUATIONS; COMPUTATIONAL FLUID-DYNAMICS; DATA; APPROXIMATION SCHEME; COLLOCATION METHOD; MESHLESS; INTERPOLATION; MULTIQUADRICS; MECHANICS; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications; Mechanics

    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 (TM) commercial package. (c) 2007 Published by Elsevier Inc.

    Journal Title

    Applied Mathematical Modelling

    Volume

    32

    Issue/Number

    9

    Publication Date

    1-1-2008

    Document Type

    Article

    Language

    English

    First Page

    1848

    Last Page

    1858

    WOS Identifier

    WOS:000257040100016

    ISSN

    0307-904X

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