nieuwe zoekopdracht
 [ meld een fout in dit record ] mandje (0): toevoegen | toon

 Inertial wave rays in rotating spherical fluid domainsRabitti, A.; Maas, L.R.M. (2014). Inertial wave rays in rotating spherical fluid domains. J. Fluid Mech. 758: 621- 654. dx.doi.org/10.1017/jfm.2014.551 In: Journal of Fluid Mechanics. Cambridge University Press: London. ISSN 0022-1120, meer

 Beschikbaar in Auteurs NIOZ: NIOZ files 266645 VLIZ [ aanvragen ]

 Author keywords general fluid mechanics; internal waves; waves in rotating fluids

 Auteurs Top Rabitti, A., meer Maas, L.R.M., meer

 Abstract The behaviour of inertial waves in a rotating spherical container, filled with homogeneous fluid, is here investigated by means of a three-dimensional ray tracing algorithm, in a linear, inviscid framework. In particular, the classical, two-dimensional association between regular modes and periodic trajectories is addressed here for the first time in a fully three-dimensional setting. Three-dimensional, repelling periodic trajectories are found and classified on the basis of the associated frequency and spatial structure, although associated frequencies are hardly reconcilable to Bryan’s (Proc. R. Soc. Lond., vol. 45, 1889, pp. 42–45) classical solutions for inertial waves in the sphere. The normalized squared frequency $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\omega ^2 = 1/2$?2=1/2 appears to divide the frequency range into two different trajectory regimes, where critical latitudes play a different role. Chaotic orbits are not found, as expected, while invariant, non-domain-filling orbits (whispering gallery modes) constitute the majority of the trajectories in the sphere. From ray tracing alone, the wavefield is still far from being completely reconstructed, and a study performed in such a simplified setting is clearly far from any realistic application, however, it appears that three-dimensional ray dynamics constitutes a valid approach to infer information on the spectrum and regularity properties of a system, and is then able to bring new insight in a variety of fundamental problems of geophysical and astrophysical relevance, once its power and limitations have been recognized.

 Alle informatie in IMIS valt onder het VLIZ Privacy beleid Top | Auteurs
IMIS is ontwikkeld en wordt gehost door het VLIZ, voor meer informatie contacteer .