Severe Weather

Atmospheric Science · Part 5

223 KB10 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.CAPE and CIN: Thermodynamic Instability
  2. 2.Wind Shear, Hodographs, and Helicity
  3. 3.Supercell Dynamics and Rotating Updrafts
  4. 4.Mesoscale Convective Systems and Tornado Genesis
  5. 5.Hail Growth and Microbursts
  6. 6.Forecast Composite Parameters
  7. 7.Fortran: Parcel Ascent Model with Entrainment
  8. 8.Virtual Temperature Correction
  9. 9.Storm-Relative Helicity (SRH)
  10. 10.Tilting of Horizontal Vorticity

Key Equations

$$\text{CAPE} = \int_{\text{LFC}}^{\text{EL}} g \, \frac{T_{v,\text{parcel}} - T_{v,\text{env}}}{T_{v,\text{env}}} \, dz$$
$$T_v = T \left(1 + 0.608 \, q - q_l\right)$$
$$\text{SRH} = \int_0^h (\mathbf{V} - \mathbf{c}) \cdot \left(\frac{\partial \mathbf{V}}{\partial z} \times \hat{k}\right) dz$$
$$\frac{\partial \zeta}{\partial t} = \underbrace{\omega_h \cdot \nabla_h w}_{\text{tilting}} + \underbrace{\zeta \frac{\partial w}{\partial z}}_{\text{stretching}} + \underbrace{\frac{1}{\rho^2}(\nabla\rho \times \nabla p) \cdot \hat{k}}_{\text{baroclinic}}$$

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...