物理海洋学名词-V 452

Glossary of Physical Oceanography and Related Disciplines

Steven K. Baum Department of Oceanography Texas A&M University

May 26, 2004

 

vorticity equation This is an equation used in large-scale geophysical fluid dynamics that relates the rate of change of the vertical component of vorticity to the horizontal divergence. It is derived by eliminating pressure (or geopotential) from the equations of motion. It can be expressed as
D/Dt*(ω + 2Ω) = (ω + 2Ω) · ▽u − (ω + 2Ω)  · ▽u− ▽υ × ▽p (20)
where D/Dt is the material derivative, ω the relative vorticity, 2Ω the planetary vorticity, ω + 2Ω the absolute vorticity, u the three–dimensional velocity vector, υ the specific volume, and p the pressure. The terms on the right–hand side describe, respectively, vorticity changes due to:
• vortex stretching and twisting,
• volume changes, and
• the baroclinicity of the flow.
See Muller [1995].


vorticity vector A measure of the rotational component of a velocity field. This is calculated by taking the curl of the velocity vector u, mathematically expressed as   × u.


VOS Acronym for Volunteer Observing Ship. See Rossby et al. [1995].

 

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