Published May 4, 2022 | Version 2
Dataset Open

Matlab tools to solve the viscous Taylor Goldstein equation for both instabilities and waves

  • 1. State Key Laboratory of Marine Environmental Science, and Department of Physical Oceanography, College of Ocean and Earth Sciences, Xiamen University, Xiamen, China
  • 2. College of Earth, Ocean and Atmospheric Science, Oregon State University, Corvallis, Oregon

Description

Matlab tools to solve the viscous Taylor Goldstein equation for both instabilities and waves
Fourier-Galerkin method is faster and more accurate than the previous finite-difference version.
File list:
wave_analysis_FG.m : code to solve demonstration problem (internal gravity waves on the Columbia River plume; data courtesy J. Nash)
nash_data.txt : observational data for demonstration problem
vTG_FG.m : the main subroutine
BaryL.m : auxiliary subroutine
vTG_FGprep.m : auxiliary subroutine (call before vTG_FG)
Lian_Smyth_Liu20.pdf : Paper to reference for description and testing of code.
The underlying theory is described in Instability in Geophysical Flows, by W.D. Smyth and J.C. Carpenter, Cambridge University Press: Available from Amazon and others.

Files

Lian_Smyth_Liu20.pdf

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