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

David Gerard Dritschel, Maarten HP Ambaum

Research output: Contribution to journalArticlepeer-review

156 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1097-1130
Number of pages34
JournalQuarterly Journal of the Royal Meteorological Society
Volume123
Issue number540
DOIs
Publication statusPublished - Apr 1997

Keywords

  • contour surgery
  • fast algorithm
  • potential vorticity
  • turbulence
  • vortex dynamics
  • 2-DIMENSIONAL VORTEX INTERACTIONS
  • GEOSTROPHIC TURBULENCE
  • POTENTIAL VORTICITY
  • SURGERY
  • FLOWS
  • INTEGRATION
  • ALIGNMENT

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