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Gravity waves on a rough bottom: experimental evidence of one-dimensional localization

Published online by Cambridge University Press:  21 April 2006

Max Belzons ,
Elisabeth Guazzelli  and
Olivier Parodi
Max Belzons
Affiliation:
Département de Physique des Systèmes Désordonnés, UA 857 du CNRS, Université de Provence, Centre de Saint-Jérome, F-13397 Marseille CEDEX 13, France
Elisabeth Guazzelli
Affiliation:
Département de Physique des Systèmes Désordonnés, UA 857 du CNRS, Université de Provence, Centre de Saint-Jérome, F-13397 Marseille CEDEX 13, France
Olivier Parodi
Affiliation:
Département de Physique des Systèmes Désordonnés, UA 857 du CNRS, Université de Provence, Centre de Saint-Jérome, F-13397 Marseille CEDEX 13, France
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Abstract

We present experimental evidence of the localization of linear gravity waves on a rough (i.e. random) bottom in a one-dimensional channel. The localization phenomenon is observed through very precise measurements in a wave tank. Viscous dissipation and rough-bed finite-size effects are examined. The experimental estimation of the localization lengths are compared with the theoretical predictions of Devillard, Dunlop & Souillard (1988). Finally, the resonant modes due to the disorder are directly observed for the first time.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 186 , January 1988 , pp. 539 - 558
Copyright
© 1988 Cambridge University Press

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