Tidal Patterns

Oceanography · Part 7

204 KB10 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.Amphidromic Points and Co-tidal Charts
  2. 2.Laplace Tidal Equations
  3. 3.Tidal Currents and Tidal Ellipses
  4. 4.Form Factor and Tidal Classification
  5. 5.Tidal Mixing Fronts (Simpson-Hunter Criterion)
  6. 6.Internal Tides: Barotropic to Baroclinic Conversion
  7. 7.Python: Amphidromic System, Tidal Ellipse & Simpson-Hunter
  8. 8.Fortran: Laplace Tidal Equations Solver
  9. 9.Tidal Resonance in Ocean Basins
  10. 10.Tidal Energy Dissipation

Key Equations

$$\eta(r,\theta,t) = A(r)\cos(\omega t - \theta + \phi_0)$$
$$\frac{\partial v}{\partial t} + fu = -g\frac{\partial \eta}{\partial y} + F_y$$
$$u(t) = U_{\max}\cos(\omega t - \phi_u), \quad v(t) = V_{\max}\cos(\omega t - \phi_v)$$
$$\log_{10}\left(\frac{h}{u^3}\right) \approx 2.7 \text{ (critical value)}$$

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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