Transport schemes in spherical geometries using spline-based RBF-FD with polynomials

DOI10.1016/j.jcp.2020.109256OpenAlexW3000448799WikidataQ126344675 ScholiaQ126344675MaRDI QIDQ2123330

Natasha Flyer, Bengt Fornberg, David Gunderman

Publication date: 8 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109256

zbMATH Keywords

polynomialsspherical geometryhyperbolic PDEspolyharmonic splinesRBF-FDradial basis functions-generated finite differences

Mathematics Subject Classification ID

Numerical analysis (65-XX) Classical thermodynamics, heat transfer (80-XX)

Related Items (7)

MGM: A Meshfree Geometric Multilevel Method for Systems Arising from Elliptic Equations on Point Cloud Surfaces ⋮ A high-order accurate meshless method for solution of incompressible fluid flow problems ⋮ Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives ⋮ An ALE meshfree method for surface PDEs coupling with forced mean curvature flow ⋮ Numerical analysis of fully non-linear sloshing waves in an arbitrary shape tank by meshless method ⋮ An efficient local meshless method for the equal width equation in fluid mechanics ⋮ RBF-FD discretization of the Navier-Stokes equations on scattered but staggered nodes

Uses Software

• Matlab
• chammp
• CAM3

Cites Work

• Unnamed Item
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• How good can polynomial interpolation on the sphere be?

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