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On the effects of irregular boundaries in finite difference models

✍ Scribed by Geir Pedersen

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
383 KB
Volume
6
Category
Article
ISSN
0271-2091

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✦ Synopsis

Propagation of periodic waves in the vicinity of irregular saw-tooth shaped boundaries in finite difference models is investigated. The reflection of an incoming wave from a single saw-tooth boundary is found to be accompanied by a phase shift. It is shown that any wave mode propagating along such a boundary is trapped and decays in the direction normal to the boundary. A wave propagating along a channel with saw-tooth shaped lateral boundaries is influenced by the trapped waves, which leads to a reduction of the phase velocity. Phase velocities obtained from the present normal mode analysis are compared to velocities in numerical experiments. The agreement is excellent.

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