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

<strong>Matlab tools to solve the viscous Taylor Goldstein equation for both instabilities and waves</strong><br> Fourier-Galerkin method is faster and more accurate than the previous finite-difference version.<br> <strong>File list:</strong><br> wave_analysis_FG.m : code to solve demonstration problem (internal gravity waves on the Columbia River plume; data courtesy J. Nash)<br> nash_data.txt : observational data for demonstration problem<br> vTG_FG.m : the main subroutine<br> BaryL.m : auxiliary subroutine<br> vTG_FGprep.m : auxiliary subroutine (call before vTG_FG)<br> Lian_Smyth_Liu20.pdf : Paper to reference for description and testing of code.<br> The underlying theory is described in<em> Instability in Geophysical Flows,</em> by W.D. Smyth and J.C. Carpenter, Cambridge University Press: Available from Amazon and others.**用于求解粘性泰勒-戈德斯坦方程（Taylor Goldstein equation）的Matlab工具，可同时处理不稳定性与波动问题** 傅里叶-伽辽金法（Fourier-Galerkin method）相较于此前的有限差分版本，运算速度更快且精度更高。 **文件清单：** wave_analysis_FG.m：用于求解演示问题的代码（哥伦比亚河羽流的内重力波；数据由J. Nash提供） nash_data.txt：演示问题所用的观测数据 vTG_FG.m：主子程序 BaryL.m：辅助子程序 vTG_FGprep.m：辅助子程序（需在vTG_FG前调用） Lian_Smyth_Liu2.pdf：本代码的说明与测试参考论文 其基础理论详见W.D. Smyth与J.C. Carpenter所著的*Instability in Geophysical Flows*（剑桥大学出版社出版，可在Amazon等平台获取）。