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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.
instability, internal waves, stratified shear flow, viscous shear flow, Taylor-Goldstein equation, Orr-Sommerfeld equation
instability, internal waves, stratified shear flow, viscous shear flow, Taylor-Goldstein equation, Orr-Sommerfeld equation
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