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This class introduces fluid dynamics to first year graduate students.

0

1

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

  • Introduced the Instructor Unlimited
  • Maths primer Unlimited
  • Introduced Lagrangian and Eulerian frameworks giving pros and cons for each. Unlimited
  • Introduced the Cauchy-Stokes decomposition theorem Unlimited
  • Gave a real-world example of shear in a rock. Unlimited
  • Spent a little more time on singular vectors Unlimited
  • Distributed notes deriving the linear uncertainty propagator for a generic flow. Unlimited
  • Pseudo-derived the simple, linear constitutive equation of Stokes and provided interpretations and implications for each term. Unlimited
  • Recap of the previous week 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 and comparing it with the period of the rotating frame. Unlimited
  • Recapped the momentum and vorticity equations in the rotating frame. Unlimited
  • Produced the height-gradient form of the geostrophic velocity equations and provided many examples of geostrophy by looking at 500mb height maps. Unlimited
  • Recapped inertial circles, geostrophy, gradient wind, and cyclostrophic wind. Unlimited
  • Recapped inertial circles Unlimited
  • Started with a quick recap of the mass transport in the Ekman layer Unlimited
  • Waves Primer Unlimited
  • Derived the fixed depth Unlimited
  • Began by recapping the “recipe” for producing dispersion relations and performing stability analysis (identify equations Unlimited
  • A day of gravity waves Unlimited

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Instructor

Massachusetts Institute of Technology
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