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Some new methods for numerically solving the compressible laminar boundary layer equations
Author(s) -
Friel R. G.
Publication year - 1986
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.1650060905
Subject(s) - mathematics , discretization , laminar flow , quadrature (astronomy) , boundary layer , truncation error , convergence (economics) , mathematical analysis , compressibility , physics , mechanics , optics , economics , economic growth
Four new methods are presented: a method of accelerating the truncation error convergence, a fourth and fifth order difference scheme for discretizing the normal partial derivatives, high order quadrature formulae for integrating a stream function and a third order implicit scheme for treating the streamwise partial derivatives. These are seen to be effective in finding solutions to the boundary layer equations in which the step sizes are adaptively altered to meet an error bound.