Planetary waves over a linearly sloping bottom with rotation
| Project acronym: | |
| Name of Group Leader: | N. Paldor, Professor of dynamical meteorology and physical oceanography, Israel, nathan.paldor@huji.ac.il |
| User-Project Title: | Planetary waves over a linearly sloping bottom with rotation |
| Facility: | Coriolis platform |
| Proceedings TA Project: | Laboratory experiments and a non-harmonic theory for topographic rossby waves |
| Data Management Report: | Data Management Reports Page You will need to login to view this page |
Summary:
In Geophysical Fluid Dynamics classical wave theories it is customary to let all parameters of the linearized differential equations that govern the dynamical system be constants so as to simplify the solution, in this specific case the depth variation is retained in some constant terms while in other (non constant) terms the actual depth of the fluid column is replaced by the mean depth, see e.g., Pedlosky (1979). These assumptions limit the solutions to harmonic functions only while implying that the wave solution will occupy the whole horizontal extent and requires that the bottom slope be small enough thus yielding explicit and simple expressions for the phase speeds of these linear waves. Yet recent findings on the beta plane (which plays the role of the bottom slope according to straightforward vorticity arguments) suggest that when the variation of the coefficient is assumed linear in the governing equations, the resulting phase speed can be substantially different than that of the constant coefficient theory (see Paldor et al., 2007). Therefore the phase speed of linear waves in a theory that consistently includes the depth variations is expected to be different and one can not rule out the existence of new waves that are not present in the constant depth theory. Click here for further information about this project on the CNRS website.
| Publication References |
| Erlick et al, 2007: Q. J. Roy. Meteor. Soc., vol. 133 (624A), pp 571-577. |
| Ibbetson & Phillips, 1967: Tellus, vol. 19, pp-81 87 |
| Osychny & Cornillon, 2004: J. Phys. Ocean., vol. 34, pp 61-76. |
| Paldor et al. 2007: J. phys. Ocean. , vol. 37, pp 115-128. |
| Pedlosky, J., 1979: Geophysical Fluid Dynamics. Springer-Verlag. |
| Phillips, 1965: Tellus, vol. 17, pp 295-301. |
| Caldwell Cutchin & Longuet-Higgins, 1972: J. Mar. Res., vol. 24, pp 82-102. |
| Chelton & Schlax 1996: Science, vol. 272. no. 5259, pp. 234 – 238. |