Local radial basis function based gridfree scheme for unsteady incompressible viscous flows

A ‘local’ radial basic function (RBF) based gridfree scheme has been developed to solve unsteady, incompressible Navier–Stokes equations in primitive variables. The velocity–pressure decoupling is obtained by making use of a fractional step algorithm. The scheme is validated over a variety of benchm...

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Bibliographic Details
Published in:Journal of computational physics 2008-10, Vol.227 (20), p.8922-8948
Main Authors: Sanyasiraju, Y.V.S.S., Chandhini, G.
Format: Article
Language:English
Subjects:
Computational techniques
Exact sciences and technology
Fractional step
Incompressible
Mathematical methods in physics
Multiquadric
Navier–Stokes equations
Physics
Radial basis function
Unsteady
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Summary:A ‘local’ radial basic function (RBF) based gridfree scheme has been developed to solve unsteady, incompressible Navier–Stokes equations in primitive variables. The velocity–pressure decoupling is obtained by making use of a fractional step algorithm. The scheme is validated over a variety of benchmark problems and found a very good agreement with the existing results. Comparisons with the benchmark solutions show that the developed local RBF gridfree scheme is stable and produces accurate results on domains discretized even with non-uniform distribution of nodal points.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2008.07.004