publication . Article . 1989

The importance of surface pressure changes in the response of the atmosphere to zonally‐symmetric thermal and mechanical forcing

P. H. Haynes; T. G. Shepherd;
Open Access
  • Published: 01 Oct 1989 Journal: Quarterly Journal of the Royal Meteorological Society, volume 115, pages 1,181-1,208 (issn: 0035-9009, eissn: 1477-870X, Copyright policy)
  • Publisher: Wiley
  • Country: United Kingdom
The classical problem of the response of a balanced, axisymmetric vortex to thermal and mechanical forcing is re-examined, paying special attention to the lower boundary condition. The correct condition is DΦ/Dt = 0, where Φ is the geopotential and D/Dt the material derivative, which explicitly accounts for a mass redistribution as part of the mean-flow response. This redistribution is neglected when using the boundary condition Dp/Dt = 0, which has conventionally been applied in this problem. It is shown that applying the incorrect boundary condition, and thereby ignoring the surface pressure change, leads to a zonal wind acceleration δū/δt that is too strong, ...
free text keywords: Atmospheric Science, Surface pressure, Meteorology, Forcing (mathematics), Material derivative, Geopotential, Baroclinity, Vortex, Boundary value problem, Mathematics, Tropopause
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