Charney–Eliassen model

E542053

The Charney–Eliassen model is a foundational quasi-geostrophic framework in atmospheric dynamics used to describe large-scale, balanced motions such as midlatitude cyclones and jet streams.

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Predicate Object
instanceOf atmospheric dynamics model
quasi-geostrophic model
theoretical framework
appliesTo midlatitudes
synoptic-scale atmospheric motions
assumes geostrophic balance
hydrostatic balance
small Rossby number
small perturbations about a basic state
basedOn quasi-geostrophic approximation
basicState thermal wind balanced jet
zonal mean flow
category balanced atmospheric models
large-scale circulation models
coreConcept potential vorticity conservation
thermal wind balance
thermodynamic energy equation
vorticity equation
describes jet streams
large-scale balanced atmospheric motions
midlatitude cyclones
field atmospheric dynamics
geophysical fluid dynamics
historicalRole foundational framework in synoptic-scale meteorology
mathematicalForm elliptic partial differential equation for streamfunction
set of linearized quasi-geostrophic equations
namedAfter Arnt Eliassen NERFINISHED
Jule Gregory Charney NERFINISHED
neglects ageostrophic inertia-gravity waves
small-scale turbulence
relatedTo Rossby waves NERFINISHED
baroclinic instability theory
quasi-geostrophic theory NERFINISHED
scale synoptic scale
spatialScale thousands of kilometers
timeScale days
usedFor analyzing jet stream dynamics
balanced flow analysis
diagnosing secondary circulations
idealized studies of midlatitude cyclones
studying baroclinic development
usedIn idealized numerical experiments
theoretical meteorology education
uses pressure coordinates
streamfunction formulation
validUnder large-scale slowly varying flow conditions

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Jule Gregory Charney knownFor Charney–Eliassen model