Japan Geoscience Union Meeting 2014

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Poster

Symbol M (Multidisciplinary and Interdisciplinary) » M-IS Intersection

[M-IS24_28PO1] Geophysical fluid dynamics-Transfield approach to geoscience

Mon. Apr 28, 2014 6:15 PM - 7:30 PM Poster (3F)

Convener:*Iga Keita(Atmosphere and Ocean Research Institute, The University of Tokyo), Kensuke Nakajima(Department of Earth and Planetary Sciences,Flculty of Sciences,Kyushu University), Shigeo Yoshida Shigeo(Department of Earth and Planetary Sciences, Faculty of Sciences, Kyushu University), Takatoshi Yanagisawa(Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology), Hidenori Aiki(Japan Agency for Marine-Earth Science and Technology)

6:15 PM - 7:30 PM

[MIS24-P01] Spectrum of internal waves in bounded domains of the Atmosphere and the Ocean

*Andrei GINIATOULLINE1 (1.Department of Mathematics, Los Andes University, Bogota, Colombia, South America)

Keywords:computational fluid dynamics, compressible fluid, rotating stratified fluid, essential spectrum, internal waves, fluid dynamics of the Atmosphere and the Ocean

We consider the spectral properties of internal waves for three-dimensional compressible rotating exponentially stratified fluid. This model describes the flows in the Atmosphere and the Ocean which include simultaneously the rotation of the Earth over the vertical axis, and the non-homogeneous initial stratification of density caused by the gravitational force. We obtain theoretical results for the spectrum of the resulting internal waves in terms of its structure, localization, and its possible usage in computational algorithms. The applications of the spectral properties of such internal waves can be found, in particular, in the models of the resonance effect. We consider both the general case of bounded domains, and the explicit results of some particular domains, such as cubes and cylinders.