A CRITICAL APPROACH TO THE METHOD OF INTE GRAL RELATIONS - THE CASE OF DORODNITSYNS - PROBLEM OF CONVERGENCE

Citation
M. Debruyne et A. Merlen, A CRITICAL APPROACH TO THE METHOD OF INTE GRAL RELATIONS - THE CASE OF DORODNITSYNS - PROBLEM OF CONVERGENCE, Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre, 317(10), 1993, pp. 1269-1274
Citations number
2
Categorie Soggetti
Multidisciplinary Sciences
ISSN journal
07644450
Volume
317
Issue
10
Year of publication
1993
Pages
1269 - 1274
Database
ISI
SICI code
0764-4450(1993)317:10<1269:ACATTM>2.0.ZU;2-M
Abstract
It is shown that Dorodnitsyn's MIR is less accurate than the published results let suppose (Dorodnitsyn, 1962). The modified method (Debruyn e, 1993) is extended to the four-strips case and gives better results than the initial method. On the Falkner-Skan test case, numerical conv ergence is obtained when the number of strips is increased. Neverthele ss, the numerical solution differs from the analytical one for a funda mental reason which raises questions on the validity of the method.