Open AccessNumerical solution of boundary‐layer problems
Author(s) -
Buffett Bruce A.
Publication year - 1996
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1996.tb05288.x
Subject(s) - basis (linear algebra) , basis function , laguerre polynomials , convergence (economics) , mathematics , rate of convergence , boundary value problem , field (mathematics) , construct (python library) , mathematical optimization , computer science , numerical analysis , algorithm , mathematical analysis , geometry , key (lock) , computer security , pure mathematics , economics , programming language , economic growth
SUMMARY A spectral method of solving boundary‐layer problems is presented. The method uses Laguerre polynomials to construct orthogonal basis functions that satisfy far‐field conditions automatically. An implementation of the method is outlined and two illustrative examples are presented. Both examples have known solutions, which are used to test the accuracy and computational efficiency of the method. Useful estimates of the numerical error are obtained and a strategy is developed to adjust the basis functions in order to optimize the rate of convergence.