Enhancing finite differences with radial basis functions: Experiments on the Navier–Stokes equations

Polynomials are used together with polyharmonic spline (PHS) radial basis functions (RBFs) to create local RBF-finite-difference (RBF-FD) weights on different node layouts for spatial discretizations that can be viewed as enhancements of the classical finite differences (FD). The presented method re...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 316; pp. 39 - 62
Main Authors:	Flyer, Natasha, Barnett, Gregory A., Wicker, Louis J.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.07.2016
Subjects:	Finite differences Inclusions Mathematical analysis Mathematical models Matlab Navier-Stokes equations Navier–Stokes Polynomials Radial basis function Radial basis functions RBF-FD Splines Tuning Navier–Stokes Radial basis functions RBF-FD Polynomials Splines Finite differences
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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