Zoeken
Zoeken kan via de modus 'eenvoudig zoeken' (één veld) of uitgebreid via 'geavanceerd zoeken' (meerdere velden). Zo kan je bv. zoeken op een combinatie van een auteursnaam (auteur), een jaartal (jaar) en een documenttype.
Boekenmand
Nuttige resultaten kan je aanvinken en toevoegen aan een mandje. De inhoud hiervan kan je exporteren of afdrukken (naar bv. PDF).
RSS
Op de hoogte blijven van nieuw toegevoegde publicaties binnen uw interessegebied? Dit kan door een RSS-feed (?) te maken van jouw zoekopdracht.
nieuwe zoekopdracht
A new semi-analytical solution for inertial waves in a rectangular parallelepiped
Nurijanyan, S.; Bokhove, O.; Maas, L.R.M. (2013). A new semi-analytical solution for inertial waves in a rectangular parallelepiped. Phys. Fluids 25(2): 126601. dx.doi.org/10.1063/1.4837576
In: Physics of Fluids. American Institute of Physics: Woodbury, NY. ISSN 1070-6631; e-ISSN 1089-7666
|  |
| Author keywords |
Eigenvalues; Boundary value problems; Inertial waves; Numerical solutions; Kelvin waves |
| Auteurs | | Top |
- Nurijanyan, S.
- Bokhove, O.
- Maas, L.R.M.
|
|
|
| Abstract |
A study of inertial gyroscopic waves in a rotating homogeneous fluid is undertaken both theoretically and numerically. A novel approach is presented to construct a semi-analytical solution of a linear three-dimensional fluid flow in a rotating rectangular parallelepiped bounded by solid walls. The three-dimensional solution is expanded in vertical modes to reduce the dynamics to the horizontal plane. On this horizontal plane, the two dimensional solution is constructed via superposition of “inertial” analogs of surface Poincaré and Kelvin waves reflecting from the walls. The infinite sum of inertial Poincaré waves has to cancel the normal flow of two inertial Kelvin waves near the boundaries. The wave system corresponding to every vertical mode results in an eigenvalue problem. Corresponding computations for rotationally modified surface gravity waves are in agreement with numerical values obtained by Taylor [“Tidal oscillations in gulfs and basins,” Proc. London Math. Soc., Ser. 2XX, 148–181 (1921)], Rao [“Free gravitational oscillations in rotating rectangular basins,” J. Fluid Mech.25, 523–555 (1966)] and also, for inertial waves, by Maas [“On the amphidromic structure of inertial waves in a rectangular parallelepiped,” Fluid Dyn. Res.33, 373–401 (2003)] upon truncation of an infinite matrix. The present approach enhances the currently available, structurally concise modal solution introduced by Maas. In contrast to Maas' approach, our solution does not have any convergence issues in the interior and does not suffer from Gibbs phenomenon at the boundaries. Additionally, an alternative finite element method is used to contrast these two semi-analytical solutions with a purely numerical one. The main differences are discussed for a particular example and one eigenfrequency. |
IMIS is ontwikkeld en wordt gehost door het VLIZ.
