Abstract: This paper offers a simple, entirely prognostic, ocean circulation model based on the separation of the complete dynamics, including sound waves, into elementary Poisson brackets. For example, one bracket corresponds to ...

Abstract: The shallow-water equations may be posed in the form df?/dt = {F, H, Z}, where H is the energy, Z is the potential enstrophy, and the Nambu bracket {F, H, Z} is completely antisymmetric in its three arguments. This makes ...

Abstract: The mean ocean density field resembles the state of maximum entropy with given values for the upper water mass, total energy and potential enstrophy. Numerical experiments confirm that the thermocline of a freely evolving ...

Abstract: Arakawa and Lamb discovered a finite-difference approximation to the shallow-water equations that exactly conserves finite-difference approximations to the energy and potential enstrophy of the fluid. The Arakawa? Lamb ...