A note on a geophysical fluid dynamics variational principle
Open Access
- 1 March 1984
- journal article
- Published by Stockholm University Press in Tellus A: Dynamic Meteorology and Oceanography
- Vol. 36A (2), 211-215
- https://doi.org/10.1111/j.1600-0870.1984.tb00241.x
Abstract
A variational principle for an inviscid stratified fluid on a beta plane is developed for horizontal flows. For the special case of solenoidal flow on an f plane, it is shown that a certain velocity gradient invariant can be used to develop simple solutions to the equations of motion. The solution forms are critically dependent on relative magnitudes of the squared local vorticity and the squared total deformation. DOI: 10.1111/j.1600-0870.1984.tb00241.xKeywords
This publication has 9 references indexed in Scilit:
- Hamiltonian description of stratified fluid dynamicsPhysics of Fluids, 1983
- A Lagrangian for Eulerian fluid mechanicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1982
- Oceanic Velocity GradientsJournal of Physical Oceanography, 1975
- Horizontal dispersion of floatable particles in the vicinity of velocity singularities such as convergencesDeep Sea Research and Oceanographic Abstracts, 1970
- On the Motion of a VortexJournal of the Meteorological Society of Japan. Ser. II, 1957
- The derivation of the equations of motion of an ideal fluid by Hamilton's principleMathematical Proceedings of the Cambridge Philosophical Society, 1955
- A Fundamental Study of the Numerical Prediction Based on the Variational PrincipleJournal of the Meteorological Society of Japan. Ser. II, 1955
- On the Relation between Vorticity, Deformation and Divergence and the Configuration of the Pressure FieldTellus A: Dynamic Meteorology and Oceanography, 1953
- A new conservation-theorem of hydrodynamicsPure and Applied Geophysics, 1949