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Bifurcation Analysis of Fluid Flows, Hardcover by Dijkstra, Henk A.; Wubs, Fr...

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Last updated on 16 Jul, 2025 20:52:25 AESTView all revisionsView all revisions

Item specifics

Condition
Brand new: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
ISBN
9781108495813

About this product

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
1108495818
ISBN-13
9781108495813
eBay Product ID (ePID)
13058360671

Product Key Features

Book Title
Bifurcation Analysis of Fluid Flows : Analysis Beyond Simulation
Number of Pages
350 Pages
Language
English
Topic
Earth Sciences / Oceanography
Publication Year
2023
Illustrator
Yes
Genre
Science
Author
Henk A. Dijkstra, Fred W. Wubs
Format
Hardcover

Dimensions

Item Height
0.9 in
Item Length
9.8 in
Item Width
6.9 in

Additional Product Features

LCCN
2023-022116
Dewey Edition
23
Dewey Decimal
532.051
Table Of Content
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.
Synopsis
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., 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.
LC Classification Number
QA913

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