Deriving the Shallow Water Model in Geophysical Fluid Dynamics

By Christopher KRT Jones

University of North Carolina at Chapel Hill

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Abstract

These collected lectures go over key concepts in the derivation shallow water model as a conceptual model for ocean dynamics.  The attached PDF notes in the supporting documents expand on these lectures.

 

This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013.  This course was a second year graduate course in mathematics, cross listed with marine sciences, and the videos in this series are maintained as reference material for those interested in the subject.

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In This Series

  1. Deriving the SWM Lecture 1: Conservation of Potential Vorticity

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This lecture develops the conservation equation for potential vorticity in the shallow water model.

  2. Deriving the SWM Lecture 2: Stream Functions for Velocity Fields

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This lecture develops the formulation of the stream function for the velocity field of the shallow water equation.  his is the second in a series of short lectures on deriving the shallow water model, given by Chris Jones in 2013. 

  3. Deriving the SWM Lecture 3: Barotropic Vorticity Equations

    04 May 2016 | Presentations | Contributor(s): Christopher KRT Jones

    This lecture develops the barotropic vorticity equations for the shallow water model.  This is background lecture 2.1C in the Mathematics of Climate Modelling course.