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.