Eliassen–Palm theorem

E549980

The Eliassen–Palm theorem is a fundamental result in atmospheric dynamics that relates wave activity and mean-flow interaction, providing a framework for understanding how atmospheric waves transport momentum and energy.

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Statements (40)

Predicate Object
instanceOf result in atmospheric dynamics
theorem
appliesTo Rossby waves NERFINISHED
large-scale atmospheric waves
planetary waves
quasi-geostrophic flow
zonal-mean flow
associatedConcept Eliassen–Palm flux NERFINISHED
pseudomomentum
quasi-geostrophic potential vorticity
transformed Eulerian mean formulation
wave activity
zonal-mean momentum equation
assumes scale separation between waves and mean flow
small-amplitude waves
context climate dynamics
general circulation of the atmosphere
middle atmosphere dynamics
describes relationship between wave activity and mean flow
transport of energy by atmospheric waves
transport of momentum by atmospheric waves
transport of potential vorticity by waves
wave–mean flow interaction
field atmospheric dynamics
geophysical fluid dynamics
meteorology
implies conservation of wave activity in absence of dissipation and forcing
mean-flow acceleration where Eliassen–Palm flux converges
mean-flow deceleration where Eliassen–Palm flux diverges
namedAfter Arnt Eliassen NERFINISHED
Erik Palmén NERFINISHED
provides diagnostic tool for wave activity fluxes
framework for understanding wave–mean flow interaction
relates Eliassen–Palm flux to mean-flow acceleration NERFINISHED
wave activity conservation to mean-flow changes
usedFor analyzing sudden stratospheric warmings
diagnosing wave forcing of the zonal mean wind
studying atmospheric circulation response to waves
studying stratosphere–troposphere coupling
understanding midlatitude jet variability

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Arnt Eliassen notableWork Eliassen–Palm theorem