Bifurcation Analysis of Fluid Flows

A better understanding of the mechanisms leading a fluid system to exhibit turbulent behavior is one of the grand challenges of the physical and mathematical sciences. Over the last few decades, numerical bifurcation methods have been extended and applied to a number of flow problems to identify critical conditions for fluid instabilities to occur. This book provides a state-of-the-art account of these numerical methods, with much attention to modern linear systems solvers and generalized eigenvalue solvers. These methods also have a broad applicability in industrial, environmental and astrophysical flows. The book is a must-have reference for anyone working in scientific fields where fluid flow instabilities play a role. Exercises at the end of each chapter and Python code for the bifurcation analysis of canonical fluid flow problems provide practice material to get to grips with the methods and concepts presented in the book.

• Presents modern numerical techniques used in numerical bifurcation analysis, in particular for solving large linear systems and generalized eigenvalue problems
• Describes in detail how to perform bifurcation analysis on canonical fluid flows
• Provides an extensive set of exercises and a python code, giving ample opportunity to practice with the material in the book