Climate Models

Atmospheric Science · Part 6

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Table of Contents

  1. 1.Model Hierarchy: EBMs to ESMs
  2. 2.Governing Equations on the Sphere
  3. 3.Parameterization of Sub-Grid Processes
  4. 4.Grid Resolution and Numerical Stability
  5. 5.CMIP6 and SSP Scenarios
  6. 6.Budyko-Sellers 1D Energy Balance Model
  7. 7.Linearized Climate Response
  8. 8.Coupled System Components
  9. 9.Downscaling Methods
  10. 10.Model Evaluation and Emergent Constraints

Key Equations

$$C\frac{dT}{dt} = \frac{S_0(1-\alpha)}{4} - \epsilon\sigma T^4$$
$$\frac{\partial u}{\partial t} = -\mathbf{v}\cdot\nabla u + \left(f + \frac{u\tan\phi}{a}\right)v - \frac{1}{a\cos\phi}\frac{\partial \Phi}{\partial \lambda} + F_u$$
$$\frac{\partial T}{\partial t} = -\mathbf{v}\cdot\nabla T + \kappa T\frac{\omega}{p} + \frac{\dot{Q}}{c_p}$$
$$\frac{dF^{\uparrow}}{d\tau} = F^{\uparrow} - (1 - \tilde{\omega})B(\tau) - \frac{\tilde{\omega}}{2}(F^{\uparrow} + F^{\downarrow})$$

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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