Non-Normal Linear Systems and Transient Energy Growth - Bypass Transition to Turbulence
Steve Brunton via YouTube
Overview
Explore non-normal linear systems and their role in turbulence through this 30-minute video lecture. Delve into the behavior of linear differential equations with repeated eigenvalues and non-normal system matrices. Examine a specific non-normal system example and learn how to implement it using Python and MATLAB. Discover techniques for computing eigenvectors in non-normal systems and investigate real-world applications in fluid dynamics. Gain insights into the bypass transition to turbulence in fluids and understand its significance in the field. Access additional resources through the provided playlist and course website to further enhance your understanding of this complex topic.
Syllabus
Overview of non-normal dynamics
Example non-normal system
Python code example
Matlab code example
Computing eigenvectors of non-normal system
Examples of non-normal fluid systems
Bypass transition to turbulence in fluids
Taught by
Steve Brunton