Publikationsdatum:
1962-10-01
Beschreibung:
The shoreward travel of a bore into water at rest on a beach of uniform slope is studied to elucidate why, in a class of problems—mainly gas-dynamical ones involving non-uniform shock propagation—similarity solutions seem to act like magnets attracting other solutions. For the shallow-water problem, the real magnet is shown to be the shore singularity of the governing differential equations. The shore singularity of the solution is shown to be a directional singularity of the water acceleration, for a fairly wide range of conditions, and a rather detailed asymptotic approximation for the bore development near shore is deduced. © 1962, Cambridge University Press. All rights reserved.
Print ISSN:
0022-1120
Digitale ISSN:
1469-7645
Thema:
Maschinenbau
,
Physik
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