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A finite point method for compressible flow
Author(s) -
Löhner Rainald,
Sacco Carlos,
Oñate Eugenio,
Idelsohn Sergio
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.334
Subject(s) - finite volume method , finite element method , riemann solver , point cloud , delaunay triangulation , mathematics , solver , flow (mathematics) , compressible flow , point (geometry) , compressibility , laplace operator , mathematical analysis , mathematical optimization , geometry , computer science , physics , mechanics , computer vision , thermodynamics
A weighted least squares finite point method for compressible flow is formulated. Starting from a global cloud of points, local clouds are constructed using a Delaunay technique with a series of tests for the quality of the resulting approximations. The approximation factors for the gradient and the Laplacian of the resulting local clouds are used to derive an edge‐based solver that works with approximate Riemann solvers. The results obtained show accuracy comparable to equivalent mesh‐based finite volume or finite element techniques, making the present finite point method competitive. Copyright © 2001 John Wiley & Sons, Ltd.