Numerical Prediction

Atmospheric Science · Part 7

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Table of Contents

  1. 1.Historical Development
  2. 2.The Primitive Equations in Detail
  3. 3.Spectral Methods and Grid Structures
  4. 4.Time Integration and CFL Condition
  5. 5.Physics Parameterizations
  6. 6.Operational NWP Models
  7. 7.Vertical Coordinate Systems
  8. 8.Ensemble Forecasting and Predictability
  9. 9.Forecast Verification
  10. 10.Fortran: 1D Advection with Multiple Numerical Schemes

Key Equations

$$\frac{\partial u}{\partial t} + u\frac{\partial u}{\partial x} + v\frac{\partial u}{\partial y} + \omega\frac{\partial u}{\partial p} = fv - \frac{\partial \Phi}{\partial x} + F_x$$
$$\frac{\partial \Phi}{\partial p} = -\frac{R_d T_v}{p}, \quad \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} + \frac{\partial \omega}{\partial p} = 0$$
$$\frac{\partial q}{\partial t} + \mathbf{v}\cdot\nabla q + \omega\frac{\partial q}{\partial p} = S_q$$
$$\Delta t \leq \frac{\Delta x}{c_{max}} \quad \text{(CFL condition)}$$

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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