@Article{CiCP-12-1329,
author = {F. Auteri and L. Quartapelle},
title = {Galerkin-Laguerre Spectral Solution of Self-Similar Boundary Layer Problems},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {5},
pages = {1329--1358},
abstract = {<p style="text-align: justify;">In this work the Laguerre basis for the biharmonic equation introduced by Jie Shen is employed in the spectral solution of self-similar problems of the boundary layer theory. An original Petrov-Galerkin formulation of the Falkner-Skan equation is presented which is based on a judiciously chosen special basis function to capture the asymptotic behaviour of the unknown. A spectral method of remarkable simplicity is obtained for computing Falkner-Skan-Cooke boundary layer flows. The accuracy and efficiency of the Laguerre spectral approximation is illustrated by determining the linear stability of nonseparated and separated flows according to the Orr-Sommerfeld equation. The pentadiagonal matrices representing the derivative operators are explicitly provided in an Appendix to aid an immediate implementation of the spectral solution algorithms.&nbsp;</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.130411.230911a},
url = {http://global-sci.org/intro/article_detail/cicp/7337.html}
}