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Volume 5, Issue 4
Trapped Modes Around Freely Floating Bodies in Two-Layer Fluids.

FILIPE S. CAL, GONC ̧ ALO A. S. DIAS, AND JUHA H. VIDEMAN

Int. J. Numer. Anal. Mod. B,5 (2014), pp. 400-413

Published online: 2014-05

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  • Abstract
We consider the coupled system modeling the interaction of time-harmonic progres- sive water-waves with an array of three-dimensional freely oating obstacles in a two-layer uid. Presenting a variational and operator formulation for the problem and a condition guaranteeing the existence of trapped waves, we give a number of examples of oating structures supporting trapped waves. We also study how the problem parameters (density ratio, obstacle dimensions, layer depths and radian frequency) in uence the trapping condition.
  • Keywords

Trapped modes linear water waves freely oating obstacle two-layer uid

  • AMS Subject Headings

35Q35 76B15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-5-400, author = {FILIPE S. CAL, GONC ̧ ALO A. S. DIAS, AND JUHA H. VIDEMAN}, title = {Trapped Modes Around Freely Floating Bodies in Two-Layer Fluids.}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2014}, volume = {5}, number = {4}, pages = {400--413}, abstract = {We consider the coupled system modeling the interaction of time-harmonic progres- sive water-waves with an array of three-dimensional freely oating obstacles in a two-layer uid. Presenting a variational and operator formulation for the problem and a condition guaranteeing the existence of trapped waves, we give a number of examples of oating structures supporting trapped waves. We also study how the problem parameters (density ratio, obstacle dimensions, layer depths and radian frequency) in uence the trapping condition.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/242.html} }
TY - JOUR T1 - Trapped Modes Around Freely Floating Bodies in Two-Layer Fluids. AU - FILIPE S. CAL, GONC ̧ ALO A. S. DIAS, AND JUHA H. VIDEMAN JO - International Journal of Numerical Analysis Modeling Series B VL - 4 SP - 400 EP - 413 PY - 2014 DA - 2014/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/242.html KW - Trapped modes KW - linear water waves KW - freely oating obstacle KW - two-layer uid AB - We consider the coupled system modeling the interaction of time-harmonic progres- sive water-waves with an array of three-dimensional freely oating obstacles in a two-layer uid. Presenting a variational and operator formulation for the problem and a condition guaranteeing the existence of trapped waves, we give a number of examples of oating structures supporting trapped waves. We also study how the problem parameters (density ratio, obstacle dimensions, layer depths and radian frequency) in uence the trapping condition.
FILIPE S. CAL, GONC ̧ ALO A. S. DIAS, AND JUHA H. VIDEMAN. (2014). Trapped Modes Around Freely Floating Bodies in Two-Layer Fluids.. International Journal of Numerical Analysis Modeling Series B. 5 (4). 400-413. doi:
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