[Théorie linéaire de génération de vagues par mouvement du fond]
Les calculs de propagation d'ondes longues à travers l'océan doivent naturellement être alimentés par la condition initiale. Le but de cette note est de montrer l'insuffisance de l'approche classique qui consiste à translater la déformation « gelée » du fond vers la surface libre et à la laisser se propager. Un calcul analytique qui met en évidence les inconvénients de l'approche classique de génération passive est présenté ici. Les solutions linéarisées semblent être bien adaptées pour traiter la génération de vagues par mouvement du fond.
The computation of long wave propagation through the ocean obviously depends on the initial condition. When the waves are generated by a moving bottom, a traditional approach consists in translating the ‘frozen’ sea bed deformation to the free surface and propagating it. The present study shows the differences between the classical approach (passive generation) and the active generation where the bottom motion is included. The analytical solutions presented here exhibit some of the drawbacks of passive generation. The linearized solutions seem to be sufficient to consider the generation of water waves by a moving bottom.
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@article{CRMATH_2006__343_7_499_0,
author = {Dutykh, Denys and Dias, Fr\'ed\'eric and Kervella, Youen},
title = {Linear theory of wave generation by a moving bottom},
journal = {Comptes Rendus. Math\'ematique},
pages = {499--504},
publisher = {Elsevier},
volume = {343},
number = {7},
year = {2006},
doi = {10.1016/j.crma.2006.09.016},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2006.09.016/}
}
TY - JOUR AU - Dutykh, Denys AU - Dias, Frédéric AU - Kervella, Youen TI - Linear theory of wave generation by a moving bottom JO - Comptes Rendus. Mathématique PY - 2006 SP - 499 EP - 504 VL - 343 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2006.09.016/ DO - 10.1016/j.crma.2006.09.016 LA - en ID - CRMATH_2006__343_7_499_0 ER -
%0 Journal Article %A Dutykh, Denys %A Dias, Frédéric %A Kervella, Youen %T Linear theory of wave generation by a moving bottom %J Comptes Rendus. Mathématique %D 2006 %P 499-504 %V 343 %N 7 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2006.09.016/ %R 10.1016/j.crma.2006.09.016 %G en %F CRMATH_2006__343_7_499_0
Dutykh, Denys; Dias, Frédéric; Kervella, Youen. Linear theory of wave generation by a moving bottom. Comptes Rendus. Mathématique, Tome 343 (2006) no. 7, pp. 499-504. doi : 10.1016/j.crma.2006.09.016. http://www.numdam.org/articles/10.1016/j.crma.2006.09.016/
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[4] Internal deformation due to shear and tensile faults in a half-space, Bull. Seism. Soc. Am., Volume 82 (1992), pp. 1018-1040
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