Viscous Compressible Flow Solution Using Rbf Blended Interpolation

Keywords

Compressible flow; Meshless methods; Navier-Stokes Equations; Radial basis functions

Abstract

Radial basis function interpolation can solve partial differential equations with spectral accuracy, especially when the field variables are smooth. However, the RBF interpolation is dependent on the shape parameter, c, which must be determined by trial and error or estimated. For smooth functions, the RBF is chosen to be a large value which renders the RBF flat producing highly accurate interpolation. This method tends to fail for steep gradients and discontinuities producing oscillations between nodes. A low shape parameter RBF interpolation tends to provide better results by suppressing the oscillations near shocks and discontinuities. A RBF blending scheme can be used to switch between low and high shape parameter interpolation to produce high accuracy in the smooth regions while capturing the steep gradients or shocks. This method is used to solve the compressible Navier-Stokes equations and results are presented in this paper.

Publication Date

1-1-2018

Publication Title

Proceedings of the Thermal and Fluids Engineering Summer Conference

Volume

2018-March

Number of Pages

71-79

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1615/TFEC2018.cfd.022087

Socpus ID

85072767622 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85072767622

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