SUBJECT

Title

Physics of environmental flows

Type of instruction

lecture

Level

master

Credits

3

Recommended in

Semester 3

Typically offered in

Autumn semester

Course description

Effects of Earth’s rotation (Coriolis and centrifugal forces), Navier-Stokes equation in rotating reference frames, dimensionless form of equations, Rossby number, Froude number, dynamical pressure, geostrophic equilibrium, Taylor-Proudman theorem, linearization of the equations, wave phenomena in rotating fluids, shallow water equations, conservation of potential vorticity, effects of surface curvature, Ekman boundary layers, effects of density stratification, thermal wind, Boussinesq approximation, baroclinic instability.

Readings

required readings:

  • Benoit Cushman-Roisin: Introduction to Geophysical Fluid Dynamics. Prentice Hall, 1994

recommended readings:

  • Geoffrey K. Vallis: Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-scale Circulation. Cambridge University Press, 2006
  • Jorg Imberger: Environmental Fluid Dynamics. Academic Press, 2012