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Shallow-water theory for arbitrary slopes of the bottom

Published online by Cambridge University Press:  30 July 2003

JOSEPH B. KELLER
JOSEPH B. KELLER
Affiliation:
Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, CA 94305-2125, USA [email protected]
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Abstract

A new shallow-water theory valid for arbitrary bottom slope, due to Bouchut et al. (2003), is derived systematically by a scaling method. The fact that the pressure is hydrostatic, and the form of the velocity parallel to the bottom, are consequences of the scaling method, and need not be assumed.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 489 , 25 July 2003 , pp. 345 - 348
Copyright
© 2003 Cambridge University Press

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