{"product_id":"bifurcation-analysis-of-fluid-flows-hardback-9781108495813","title":"Bifurcation Analysis of Fluid Flows (Hardback) 9781108495813","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eBifurcation Analysis of Fluid Flows\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA guide to computing bifurcation diagrams for fluid flows, including relevant code, with broad applicability to industrial, environmental, astrophysical flows.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHenk A. Dijkstra (Author), Fred W. Wubs (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108495813, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 24 August 2023\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e350 pages\u003cbr\u003e25 x 17.4 x 2.4 cm, 0.75 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eA 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Transitions in Fluid Flows\u003cbr\u003e 2. Dynamical systems background\u003cbr\u003e 3. Well-posed problems\u003cbr\u003e 4. Discretization of PDEs\u003cbr\u003e 5. Numerical bifurcation analysis\u003cbr\u003e 6. Matrix-based techniques\u003cbr\u003e 7. Stationary iterative methods\u003cbr\u003e 8. Non-stationary iterative methods\u003cbr\u003e 9. Matrix free techniques\u003cbr\u003e 10\u003cbr\u003e Benchmark results for canonical problems\u003cbr\u003e Appendix A: Proofs related to Chapter 3\u003cbr\u003e Appendix B: Relevant Linear Algebra\u003cbr\u003e Appendix C: Proof of inf-sup condition for Stokes\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Oceanography [\u003ca title=\"See our other books on Oceanography\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Oceanography%20%5Bseas%5D%20%5BRBKC%5D%22\"\u003eseas RBKC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46448009183512,"sku":"9781108495813","price":55.98,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108495813i_616b54fa-4a16-4192-a17f-0d589f486158.jpg?v=1696706858","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/bifurcation-analysis-of-fluid-flows-hardback-9781108495813","provider":"Freshly Printed Books","version":"1.0","type":"link"}