Semi-geostrophic time evolution of velocity gradient tensor invariants

详细信息    查看全文

• 作者：I. Roulstone and A. A. White
• 刊名：Quarterly Journal of the Royal Meteorological Society
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：142
• 期：699
• 页码：2579-2584
• 全文大小：209K
• ISSN：1477-870X

文摘

The behaviour of quadratic invariants of the velocity gradient tensor is explored when the time evolution is governed by semi-geostrophic forms of the shallow-water equations. The evolution equation of a certain Jacobian involving the geostrophic flow is formally similar to its counterpart under the primitive shallow-water equations. The resultant deformation and the Frobenius norm do not behave in this symmetrical way. A product of the study is a straightforward derivation of the semi-geostrophic potential vorticity conservation property. Results are extended to 3D baroclinic flow by using isentropic coordinates.