Bifurcation Analysis of Fluid Flows

ISBN-13: 9781108495813 / Twarda / 2023 / 350 str.

The Netherlands) Wubs Fred W. (Rijksuniversiteit Groningen

Opis

A guide to computing bifurcation diagrams for fluid flows, including relevant code, with broad applicability to industrial, environmental, astrophysical flows.

Spis treści

1. 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.