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The similarity solution for a bore on a beach
Author(s) -
Barker J. W.,
Whitham G. B.
Publication year - 1980
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160330312
Subject(s) - implosion , analogy , similarity (geometry) , shore , mathematics , flow (mathematics) , similarity solution , dynamic similarity , motion (physics) , field (mathematics) , geology , mechanics , geometry , classical mechanics , pure mathematics , computer science , artificial intelligence , oceanography , epistemology , physics , image (mathematics) , philosophy , plasma , boundary layer , quantum mechanics , reynolds number , turbulence
A similarity solution is found for the asymptotic behavior of a bore as it approaches the shoreline on a sloping beach. This gives direct confirmation of earlier results on the motion of the bore and adds details of the associated flow field. It also makes explicit the analogy with Guderley's implosion problem in gas dynamics; the solution is constructed closely following Guderley's arguments.