Cyclones

Atmospheric Science · Part 4

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Table of Contents

  1. 1.Norwegian Cyclone Model
  2. 2.Vorticity and Cyclone Development
  3. 3.QG Omega Equation & Vertical Motion
  4. 4.Cyclone Structure
  5. 5.Baroclinic Instability & Growth Rates
  6. 6.Stage 1: Initial Perturbation
  7. 7.Stage 2: Development
  8. 8.Stage 3: Mature
  9. 9.Stage 4: Occlusion & Decay

Key Equations

$$\left(\nabla^2 + \frac{f_0^2}{\sigma}\frac{\partial^2}{\partial p^2}\right)\omega = \frac{f_0}{\sigma}\frac{\partial}{\partial p}\left[\mathbf{V}_g \cdot \nabla(\zeta_g + f)\right] + \frac{R}{\sigma p}\nabla^2\left[\mathbf{V}_g \cdot \nabla T\right]$$
$$\sigma_{\max} = 0.31 \frac{f}{N}\left|\frac{\partial u}{\partial z}\right| = 0.31 \frac{f}{N}\frac{\Lambda}{H}$$
$$\frac{\partial p_s}{\partial t} \propto -f_0\left[\mathbf{V}_g \cdot \nabla(\zeta_g + f)\right]_{500} - \frac{R}{p}\left[\nabla^2(\mathbf{V}_g \cdot \nabla T)\right]_{1000\text{--}500}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Atmospheric Science course on CoursesHub.World. Study the physics of weather and climate from atmospheric thermodynamics to planetary atmospheres. Covers atmospheric dynamics, synoptic meteorology, clouds and precipitation, radiation budgets, clima...

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