2-DIMENSIONAL WAVE-SCATTERING PROBLEMS INVOLVING PARALLEL-WALLED DUCTS

Authors
MCIVER P RAWLINS AD
Citation
P. Mciver et Ad. Rawlins, 2-DIMENSIONAL WAVE-SCATTERING PROBLEMS INVOLVING PARALLEL-WALLED DUCTS, Quarterly Journal of Mechanics and Applied Mathematics, 46, 1993, pp. 89-116
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Mechanics,Mathematics
Journal title
Quarterly Journal of Mechanics and Applied Mathematics → ACNP
ISSN journal
00335614
Volume
46
Year of publication
1993
Part
1
Pages
89 - 116
Database
ISI
SICI code
0033-5614(1993)46:<89:2WPIPD>2.0.ZU;2-I
Abstract
A previously-published solution for the two-dimensional scattering of long waves by a parallel-walled duct, obtained by an informal applicat ion of the method of matched asymptotic expansions, is known to be inc orrect. Here a formal procedure is used to obtain the correct solution . The power of the method is further illustrated by obtaining solution s for two other related two-dimensional problems which have no known e xact solutions. The first is scattering by a rectangular inlet in an o therwise plane wall and the second is a variation on this problem with barriers projecting out from the inlet.