An accurate method for solving the Orr-Sommerfeld equation

Autor:	Th. L. Van Stijn, A. I. Van De Vooren
Jazyk:	angličtina
Rok vydání:	1980
Předmět:	Physics::Fluid Dynamics General Mathematics Blasius boundary layer Mathematical analysis General Engineering Method of fundamental solutions Mixed boundary condition Boundary value problem Singular boundary method Orr–Sommerfeld equation Orthogonalization Mathematics Numerical integration
Zdroj:	Journal of Engineering Mathematics, 14(1), 17-26
ISSN:	0022-0833
DOI:	10.1007/BF00042862
Popis:	The method consists in integrating the Orr-Sommerfeld equation in the direction from the free stream toward the wall. In order to satisfy the boundary conditions at the wall, two linearly independent solutions have to be found. To prevent numerical solutions from becoming linearly dependent, the method of order reduction instead of repeated orthogonalization has been used. The method has been applied to calculate the neutral curve for the Blasius profile.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d7e5a711bc7dc3095a8cc15fad2afb4 https://doi.org/10.1007/BF00042862 Zobrazit plný text záznamu Full text from SpringerLink