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

Dritschel, D. G. and Ambaum, M. H. P. (1997) A contour-advective semi-lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields. Quarterly Journal of the Royal Meteorological Society, 123 (540). pp. 1097-1130. ISSN 1477-870X

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To link to this article DOI: 10.1002/qj.49712354015

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Meteorology
ID Code:4446
Uncontrolled Keywords:Contour surgery Fast algorithm • Potential vorticity • Turbulence Vortex dynamics
Publisher:Royal Meteorological Society

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