Hamiltonian structure with contact geometry for the semi-geostrophic equations

被引:0
|
作者
Roulstone, I. [1 ]
Norbury, J. [1 ]
机构
[1] Meteorological Office, Berkshire, United Kingdom
关键词
Algorithms - Equations of motion - Geometry - Integration - Kinematics - Mathematical models - Vortex flow;
D O I
暂无
中图分类号
学科分类号
摘要
A canonical Hamiltonian structure for the semi-geostrophic equations is presented and from this a reduced non-canonical Hamiltonian structure is derived, providing a fully nonlinear version of the approximate linearized vorticity advection representation. The structure of this model is described naturally within the framework of contact geometry. A Hamiltonian approach leading to a symplectic algorithm for calculating solutions to the equations of motion is formulated. Basic necessary functional methods are introduced and the Lagrangian and Eulerian kinematic structures are discussed, together with their relevance to symplectic integrating algorithms.
引用
收藏
页码:211 / 233
相关论文
共 50 条