Elements of resolvent methods in fluid mechanics: notes for an introductory short course

Abstract

This is a collection of notes for part of a short course on modal methods in fluid mechanics held at DAMTP, University of Cambridge, in the summer of 2019. These notes introduce the reader to resolvent analysis as it is currently used in fluid mechanics. They are aimed at the average beginning PhD student, and will serve as a base from which to explore the literature.

Includes exercises and some code. See https://fluids.ac.uk/sig/FlowInstability for notes of the other lectures

References in corpus (3)

• A critical layer model for turbulent pipe flow
• A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator
• A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization