Description
Book SynopsisThis book is a guide to computing bifurcation diagrams for fluid flows, including relevant code and numerical techniques to identify fluid flow instabilities. It is a must-have reference for anyone working in fields where fluid flow instabilities play a role, and has broad applicability to industrial, environmental, and astrophysical flows.
Table of Contents1. Transitions in Fluid Flows; 2. Dynamical systems background; 3. Well-posed problems; 4. Discretization of PDEs; 5. Numerical bifurcation analysis; 6. Matrix-based techniques; 7. Stationary iterative methods; 8. Non-stationary iterative methods; 9. Matrix free techniques; 10; Benchmark results for canonical problems; Appendix A: Proofs related to Chapter 3; Appendix B: Relevant Linear Algebra; Appendix C: Proof of inf-sup condition for Stokes; References; Index.
