Shallow Water Model in Matlab
Overview
This page contains the Matlab code for a simple shallow
water model suitable for use in undergraduate or graduate
computer classes. The model can be used to illustrate the
following phenomena:
- Gravity waves
- Tsunamis
- Orographic Rossby waves
- Upscale energy cascades
- Barotropic instability and frontal cyclogenesis
- Equatorial Rossby and Kelvin waves
- Numerical instability and numerical artifacts
Instructions
Section 4.6 refers
to Guiying
Yang's page on identifying equatorial wave
structures.
Files
Copying and distribution of these files, with or
without modification, is permitted in any medium
without royalty. In the case
of shallow_water_model.m only, these
permissions are granted provided the copyright notice
at the top of the file and the license conditions are
preserved. These files are offered as-is, without any
warranty.
Examples
Barotropic instability
This example demonstrates how barotropic instability
leads to the formation of cyclones and anticyclones on
each side of a zonal jet.
Equatorial waves
This example demonstrates how waves can grow at the
equator on a flow that is easterly at the equator with
horizontal shear to each side.
Flow over realistic orography
This example shows how an initial zonally uniform
flow over the Northern Hemisphere orography leads to a
significant change of wind direction in the form of
orographic Rossby waves. The black contours indicate
the orography in 1000 m intervals starting at 1 m (the
coastline). The initial rapid fluctuations in the
height field are gravity waves.
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