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Atmospheric Dynamics

Atmospheric dynamics applies the laws of fluid motion to a thin, rotating shell of air, explaining why winds bend, why pressure systems migrate, and how the planet's circulation organizes weather and climate.

Definition

Atmospheric dynamics is the branch of meteorology that uses the equations of fluid mechanics and thermodynamics, applied on a rotating planet, to describe and predict the motion of the atmosphere.

Scope

This area covers the governing equations of atmospheric motion in a rotating frame, the balanced flows that dominate large scales, the spectrum of atmospheric waves, the instabilities that spawn weather systems, and the structure and maintenance of the global general circulation.

Sub-topics

Core questions

  • What equations govern the motion of air on a rotating Earth?
  • Why do large-scale winds blow nearly parallel to pressure contours?
  • Which waves and instabilities organize the atmosphere into weather systems?
  • How is the global pattern of winds and pressure maintained?

Key theories

Geostrophic and balanced flow
For large-scale, slowly evolving motion the Coriolis force nearly balances the pressure-gradient force, so winds blow along isobars; departures from this balance drive the vertical motion and evolution of weather systems.
Baroclinic instability
Horizontal temperature gradients store available potential energy that is released by growing waves, providing the dynamical origin of midlatitude cyclones and the eddies that dominate weather in the extratropics.

Mechanisms

Starting from Newton's laws and conservation of mass and energy written in a rotating frame, the primitive equations describe how pressure gradients, the Coriolis effect, gravity, and friction set air in motion. On large scales the flow stays close to geostrophic and hydrostatic balance, while small imbalances, expressed through potential vorticity and quasi-geostrophic theory, drive the growth of waves and the vertical circulations that produce weather.

Clinical relevance

The dynamical equations of this area are the foundation of every numerical weather and climate model; understanding balanced flow, waves, and instabilities is what allows forecasters and climate scientists to anticipate the development and movement of storms and the response of the circulation to a warming planet.

History

Building on nineteenth-century fluid mechanics and the Coriolis analysis of rotating flow, Vilhelm Bjerknes framed weather prediction as an initial-value problem in the early 1900s; Rossby identified the large-scale waves that bear his name, and Charney's mid-century theory of baroclinic instability and quasi-geostrophic dynamics turned atmospheric dynamics into the quantitative basis of modern forecasting.

Key figures

  • Vilhelm Bjerknes
  • Carl-Gustaf Rossby
  • Jule Charney
  • Edward Lorenz

Related topics

Seminal works

  • holton2013
  • vallis2017

Frequently asked questions

Why does wind blow along, rather than across, pressure contours?
On large scales the pressure-gradient force pushing air from high to low pressure is nearly balanced by the Coriolis force from Earth's rotation, so the air ends up flowing parallel to the isobars in what is called geostrophic balance.
What is the difference between dynamic meteorology and synoptic meteorology?
Dynamic meteorology develops the underlying physical and mathematical theory of atmospheric motion, while synoptic meteorology applies those principles to analyze and forecast actual weather systems from observations.

Methods for this concept

Related concepts