A coupled-mode, phase-resolving model for the transformation of wave spectrum over steep 3D topography: Parallel-architecture implementation

Gerostathis, ThP; Belibassakis, KA; Athanassoulis, GA

dc.contributor.author	Gerostathis, ThP	en
dc.contributor.author	Belibassakis, KA	en
dc.contributor.author	Athanassoulis, GA	en
dc.date.accessioned	2014-03-01T01:27:39Z
dc.date.available	2014-03-01T01:27:39Z
dc.date.issued	2008	en
dc.identifier.issn	0892-7219	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18525
dc.subject	Parallel Architecture	en
dc.subject	Spectrum	en
dc.subject.classification	Engineering, Ocean	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Engineering geology	en
dc.subject.other	Geometrical optics	en
dc.subject.other	Message passing	en
dc.subject.other	Numerical methods	en
dc.subject.other	Parallel programming	en
dc.subject.other	Standards	en
dc.subject.other	Three dimensional	en
dc.subject.other	Topography	en
dc.subject.other	Transfer functions	en
dc.subject.other	Bottom topography	en
dc.subject.other	Computational technologies	en
dc.subject.other	Computer clustering	en
dc.subject.other	Diffraction phenomenon	en
dc.subject.other	Directional spectrum (dS)	en
dc.subject.other	Geographical areas	en
dc.subject.other	Incident waves	en
dc.subject.other	Linear theories	en
dc.subject.other	Linear transfer function (LTF)	en
dc.subject.other	Numerical solutions	en
dc.subject.other	Parallel implementations	en
dc.subject.other	SPECTRA (CO)	en
dc.subject.other	Surface elevations	en
dc.subject.other	Three dimensions	en
dc.subject.other	Three-dimensional (3D) topography	en
dc.subject.other	Wave conditions	en
dc.subject.other	Wave spectrum	en
dc.subject.other	Modal analysis	en
dc.subject.other	bottom topography	en
dc.subject.other	linearity	en
dc.subject.other	measurement method	en
dc.subject.other	ocean wave	en
dc.subject.other	spectral analysis	en
dc.subject.other	submarine canyon	en
dc.subject.other	wave diffraction	en
dc.subject.other	wave dispersion	en
dc.subject.other	wave modeling	en
dc.subject.other	wave propagation	en
dc.subject.other	wave reflection	en
dc.subject.other	California	en
dc.subject.other	La Jolla	en
dc.subject.other	North America	en
dc.subject.other	San Diego	en
dc.subject.other	United States	en
dc.title	A coupled-mode, phase-resolving model for the transformation of wave spectrum over steep 3D topography: Parallel-architecture implementation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1115/1.2783883	en
heal.identifier.secondary	http://dx.doi.org/10.1115/1.2783883	en
heal.identifier.secondary	011001	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The problem of transformation of the directional spectrum of an incident wave system over an intermediate-depth region of strongly varying 3D bottom topography is studied in the context of linear theory. The consistent coupled-mode model, developed by Athanassoulis and Belibassakis (J. Fluid Mech. 389, pp. 275-301 (1999)) and extended to three dimensions by Belibassakis et al. (Appl. Ocean Res. 23(6), pp. 319-336 (2001)) is exploited for the calculation of the linear transfer function, connecting the incident wave with the wave conditions at each point in the field. This model is fully dispersive and takes into account reflection, refraction, and diffraction phenomena, without any simplification apart the standard intermediate-depth linearization. The present approach permits the calculation of spectra of all interesting wave quantities (e.g., surface elevation, velocity, pressure) at every point in the liquid domain. The application of the present model to realistic geographical areas requires a vast amount of calculations, calling for the exploitation of advanced computational technologies. In this work, a parallel implementation of the model is developed, using the message passing programming paradigm on a commodity computer cluster. In that way, a direct numerical solution is made feasible for an area of 25 km2 over Scripps and La Jolla submarine canyons in Southern California, where a large amount of wave measurements are available. A comparison of numerical results obtained by the present model with fiem measurements of free-surface frequency spectra transformation is presented, showing excellent agreement. The present approach can be extended to treat weakly nonlinear waves, and it can be further elaborated for studying wave propagation over random bottom topography. Copyright © 2008 by ASME.	en
heal.publisher	ASME-AMER SOC MECHANICAL ENG	en
heal.journalName	Journal of Offshore Mechanics and Arctic Engineering	en
dc.identifier.doi	10.1115/1.2783883	en
dc.identifier.isi	ISI:000255252600001	en
dc.identifier.volume	130	en
dc.identifier.issue	1	en