H. Herwig et P. Schafer, A COMBINED PERTURBATION FINITE-DIFFERENCE PROCEDURE APPLIED TO TEMPERATURE EFFECTS AND STABILITY IN A LAMINAR BOUNDARY-LAYER/, Archive of applied mechanics, 66(4), 1996, pp. 264-272
By means of a combined method it is demonstrated for regular perturbat
ion problems how the higher order terms of an asymptotic expansion may
be determined from numerical solutions of the non-expanded basic equa
tions. The method is applied to heat transfer effects in a laminar bou
ndary layer and to the analysis of its stability. All first- and secon
d-order coefficients of the problem are determined from numerical solu
tions of the basic set of equations.