A contour-advective semi-Lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields

被引:153
作者
Dritschel, DG
Ambaum, MHP
机构
关键词
contour surgery; fast algorithm; potential vorticity; turbulence; vortex dynamics;
D O I
10.1002/qj.49712354015
中图分类号
P4 [大气科学(气象学)];
学科分类号
0706 ; 070601 ;
摘要
This paper describes a novel numerical algorithm for simulating the evolution of fine-scale conservative fields in layer-wise two-dimensional flows, the most important examples of which are the earth's atmosphere and oceans. The algorithm combines two radically different algorithms, one Lagrangian and the other Eulerian, to achieve an unexpected gain in computational efficiency. The algorithm is demonstrated for multi-layer quasi-geostrophic flow, and results are presented for a simulation of a tilted stratospheric polar vortex and of nearly-inviscid quasi-geostrophic turbulence. The turbulence results contradict previous arguments and simulation results that have suggested an ultimate two-dimensional, vertically-coherent character of the flow. Ongoing extensions of the algorithm to the generally ageostrophic flows characteristic of planetary fluid dynamics are outlined.
引用
收藏
页码:1097 / 1130
页数:34
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