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This class introduces fluid dynamics to first year graduate students.

0

3

English

English [CC]

FREE

Description

The aim is to help students acquire an understanding of some of the basic concepts of fluid dynamics that will be needed as a foundation for advanced courses in atmospheric science, physical oceanography, ocean engineering, etc. The emphasis will be on fluid fundamentals, but with an atmosphere/ocean twist.

Course content

  • Gave handout on kinematics Unlimited
  • Went over the class description and the course syllabus Unlimited
  • Maths primer Unlimited
  • Introduced Lagrangian and Eulerian frameworks giving pros and cons for each. Unlimited
  • Defined the linear strain rate, the shear strain rate, and the rigid rotation rate Unlimited
  • Gave a real-world example of shear in a rock Unlimited
  • Spent a little more time on singular vectors Unlimited
  • Introduced the Boussinesq and anelastic approximations for the continuity equation Unlimited
  • Attempted to interpret each of the terms in the equation Unlimited
  • Recap of the previous week Unlimited
  • Notes (with some typos) are available for download Unlimited
  • Returned to Boussinesq arguments about the energy equation Unlimited
  • Guest lecture by Jon Moskaitis Unlimited
  • Another guest lecture by Jon Moskaitis Unlimited
  • Long discussion on how to model interacting point vortices Unlimited
  • Introduced the Helmholtz vortex theorems and provided arm waving proofs Unlimited
  • Showed how to transform vectors between rotating and inertial frames Unlimited
  • Began by deriving the period of inertial circles Unlimited
  • Recapped the momentum and vorticity equations in the rotating frame Unlimited
  • Produced the height-gradient form of the geostrophic Unlimited
  • Recapped inertial circles, geostrophy, gradient wind, and cyclostrophic wind Unlimited
  • Recapped inertial circles, geostrophy, gradient wind Unlimited
  • Started with a quick recap of the mass transport in the Ekman layer Unlimited
  • Waves Primer Unlimited
  • Derived the fixed depth, barotropic, inviscid vorticity Unlimited
  • Began by recapping the “recipe” for producing dispersion Unlimited
  • A day of gravity waves. Started from the shallow water Unlimited

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Instructor

Massachusetts Institute of Technology
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