Wave Types

Oceanography · Part 7

201 KB10 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.Capillary Waves
  2. 2.Gravity Waves and Swell Propagation
  3. 3.Seiches (Standing Waves in Enclosed Basins)
  4. 4.Internal Waves
  5. 5.Kelvin Waves
  6. 6.Rossby (Planetary) Waves
  7. 7.Edge Waves
  8. 8.Topographic Rossby Waves and Continental Shelf Waves
  9. 9.Python: Wave Type Dispersion & Kelvin Wave Animation
  10. 10.Fortran: Internal Wave Ray Tracing

Key Equations

$$\omega^2 = \left(gk + \frac{\gamma}{\rho}k^3\right)\tanh(kh)$$
$$T_n = \frac{2L}{n\sqrt{gh}}, \quad n = 1, 2, 3, \ldots$$
$$\eta = \eta_0 \exp\left(-\frac{y}{R_d}\right)\cos(kx - \omega t)$$
$$\omega^2 = gk\sin\left[(2n+1)\beta_b\right], \quad n = 0, 1, 2, \ldots$$

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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