Leaky rigid lid: New dissipative modes in the troposphere

Lyubov G. Chumakova, Rodolfo R. Rosales, Esteban Tabak

Research output: Contribution to journalArticle

Abstract

An effective boundary condition is derived for the top of the troposphere, based on a wave radiation condition at the tropopause. This boundary condition, which can be formulated as a pseudodifferential equation, leads to new vertical dissipative modes. These modes can be computed explicitly in the classical setup of a hydrostatic, nonrotating atmosphere with a piecewise constant Brunt-Väisälä frequency. In the limit of an infinitely strongly stratified stratosphere, these modes lose their dissipative nature and become the regular baroclinic tropospheric modes under the rigid-lid approximation. For realistic values of the stratification, the decay time scales of the first few modes for mesoscale disturbances range from an hour to a week, suggesting that the time scale for some atmospheric phenomena may be set up by the rate of energy loss through upward-propagating waves.

Original languageEnglish (US)
Pages (from-to)3119-3127
Number of pages9
JournalJournal of the Atmospheric Sciences
Volume70
Issue number10
DOIs
StatePublished - 2013

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troposphere
boundary condition
timescale
tropopause
hydrostatics
stratosphere
stratification
disturbance
atmosphere
energy
rate
radiation
loss

ASJC Scopus subject areas

  • Atmospheric Science

Cite this

Leaky rigid lid : New dissipative modes in the troposphere. / Chumakova, Lyubov G.; Rosales, Rodolfo R.; Tabak, Esteban.

In: Journal of the Atmospheric Sciences, Vol. 70, No. 10, 2013, p. 3119-3127.

Research output: Contribution to journalArticle

Chumakova, Lyubov G. ; Rosales, Rodolfo R. ; Tabak, Esteban. / Leaky rigid lid : New dissipative modes in the troposphere. In: Journal of the Atmospheric Sciences. 2013 ; Vol. 70, No. 10. pp. 3119-3127.
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