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Spectral methods and their implementation to solution of aerodynamic and fluid mechanic problems
Author(s) -
Streett C. L.
Publication year - 1987
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650071103
Subject(s) - aerodynamics , spectral method , collocation (remote sensing) , spectral analysis , partial differential equation , computer science , computational fluid dynamics , collocation method , mathematics , mathematical optimization , calculus (dental) , differential equation , engineering , aerospace engineering , ordinary differential equation , mathematical analysis , physics , machine learning , medicine , dentistry , quantum mechanics , spectroscopy
Fundamental concepts underlying spectral collocation methods, especially pertaining to their use in the solution of partial differential equations, are outlined. Theoretical accuracy results are reviewed and compared with results from test problems. A number of practical aspects of the construction and use of spectral methods are detailed, along with several solution schemes which have found utility in applications of spectral methods to practical problems. Results from a few of the successful applications of spectral methods to problems of aerodynamic and fluid mechanic interest are then outlined, followed by a discussion of the problem areas in spectral methods and the current research under way to overcome these difficulties.