LOCALIZED MESHLESS MODELING OF NATURAL-CONVECTIVE VISCOUS FLOWS

    Authors

    E. Divo;A. J. Kassab

    Comments

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    Abbreviated Journal Title

    Numer Heat Tranf. B-Fundam.

    Keywords

    PARTIAL-DIFFERENTIAL-EQUATIONS; COMPUTATIONAL FLUID-DYNAMICS; FUNCTION; COLLOCATION METHOD; DATA APPROXIMATION SCHEME; NAVIER-STOKES EQUATIONS; GALERKIN MLPG APPROACH; RADIAL BASIS FUNCTIONS; SCATTERED DATA; INCOMPRESSIBLE-FLOW; DOMAIN DECOMPOSITION; Thermodynamics; Mechanics

    Abstract

    A localized radial-basis function (RBF) collocation meshless method is developed for natural-convection heat transfer problems in fully viscous fluid flows. The expansion method is based on the localized collocation of polynomial-augmented Hardy multiquadrics RBF, and it is efficiently formulated to generate derivative fields through simple inner products of small-order vectors. The solution of the Navier-Stokes equations is formulated using a third-order-accurate explicit fractional time-stepping method and a velocity-correction scheme. Several cases are studied and confirmed to attain accurate results when compared to classical benchmark solutions as well as numerical predictions provided by the commercial computational fluid dynamics code Fluent.

    Journal Title

    Numerical Heat Transfer Part B-Fundamentals

    Volume

    53

    Issue/Number

    6

    Publication Date

    1-1-2008

    Document Type

    Article

    Language

    English

    First Page

    487

    Last Page

    509

    WOS Identifier

    WOS:000270802200001

    ISSN

    1040-7790

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