This 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.
This 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.
Henk A. Dijkstra is professor of dynamical oceanography at the Institute for Marine and Atmospheric Research Utrecht (IMAU) within the Department of Physics and Astronomy at Utrecht University, The Netherlands. Henk A. Dijkstra is professor of dynamical oceanography at the Institute for Marine and Atmospheric Research Utrecht (IMAU) within the Department of Physics and Astronomy at Utrecht University, The Netherlands. He has been a member of the Dutch Royal Academy of Arts and Sciences (KNAW) since 2002. He received the Lewis Fry Richardson medal from the European Geosciences Union in 2005, he was elected a Fellow of the Society for Industrial and Applied Mathematics (SIAM) in 2009, and he was awarded an Advanced Grant from the European Research Council in 2021. He is author of several books, including Nonlinear Physical Oceanography (Springer, 2005), Dynamical Oceanography (2008), Nonlinear Climate Dynamics (Cambridge University Press, 2013) and Networks in Climate (Cambridge University Press, 2019).
Inhaltsangabe
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.
