TWO-DIMENSIONAL WAVE-SCATTERING PROBLEMS INVOLVING PARALLEL-WALLED DUCTS
- 1 February 1993
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 46 (1) , 89-116
- https://doi.org/10.1093/qjmam/46.1.89
Abstract
A previously-published solution for the two-dimensional scattering of long waves by a parallel-walled duct, obtained by an informal application of the method of matched asymptotic expansions, is known to be incorrect. Here a formal procedure is used to obtain the correct solution. The power of the method is further illustrated by obtaining solutions for two other related two-dimensional problems which have no known exact solutions. The first is scattering by a rectangular inlet in an otherwise plane wall and the second is a variation on this problem with barriers projecting out from the inlet.Keywords
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