Ocean Modeling

Oceanography · Part 6

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Table of Contents

  1. 1.Primitive Equations for the Ocean
  2. 2.Vertical Coordinate Systems
  3. 3.Major Ocean Models
  4. 4.Grid Types & Subgrid Parameterisation
  5. 5.Resolution, Coupled Models & Data Assimilation
  6. 6.Python: 2D Shallow Water Model & Arakawa C-Grid Demo
  7. 7.Fortran: 1D KPP Vertical Mixing Model
  8. 8.z-coordinates
  9. 9.Sigma (terrain-following)
  10. 10.Isopycnal

Key Equations

$$\frac{Du}{Dt} - fv = -\frac{1}{\rho_0}\frac{\partial p}{\partial x} + A_H\nabla_H^2 u + \frac{\partial}{\partial z}\left(A_z\frac{\partial u}{\partial z}\right)$$
$$\frac{Dv}{Dt} + fu = -\frac{1}{\rho_0}\frac{\partial p}{\partial y} + A_H\nabla_H^2 v + \frac{\partial}{\partial z}\left(A_z\frac{\partial v}{\partial z}\right)$$
$$\frac{\partial p}{\partial z} = -\rho g \quad \text{(hydrostatic)}$$
$$\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} + \frac{\partial w}{\partial z} = 0 \quad \text{(continuity)}$$

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

Course Context

This PDF is part of the Oceanography course on CoursesHub.World. Explore the science of the seas from physical and chemical properties to marine biology and climate interactions. Covers ocean circulation, waves and tides, marine ecosystems, seafloor geology, climat...

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