{"product_id":"incompressible-flow-and-the-finite-element-method-2-volume-set-isbn-9780471492689","title":"Incompressible Flow and the Finite Element Method, 2 Volume Set","description":"This comprehensive reference work covers all the important details regarding the application of the finite element method to incompressible flows. It addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation in volume one. For both this equation and the equations of principal interest - the Navier-Stokes equations, covered in detail in volume two - detailed discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained.\u003cbr\u003e Together, this two volume work explains and emphasizes consistency in six areas:\u003cbr\u003e * consistent mass matrix\u003cbr\u003e * consistent pressure Poisson equation\u003cbr\u003e * consistent penalty methods\u003cbr\u003e * consistent normal direction\u003cbr\u003e * consistent heat flux\u003cbr\u003e * consistent forces\u003cbr\u003e Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics. 1. Glossary of Abbreviations\u003cbr\u003e \u003cbr\u003e 2. Preface and Introduction\u003cbr\u003e \u003cbr\u003e 3. The Navier-Stokes Equations\u003cbr\u003e \u003cbr\u003e Notational Introduction\u003cbr\u003e \u003cbr\u003e The Continuum Equations\u003cbr\u003e \u003cbr\u003e Alternate Forms of the Viscous Term\u003cbr\u003e \u003cbr\u003e Alternate Forms of the Non-Linear Term\u003cbr\u003e \u003cbr\u003e Derived Equations\u003cbr\u003e \u003cbr\u003e Alternate Statements of the NS Equations\u003cbr\u003e \u003cbr\u003e Special Cases of Interest\u003cbr\u003e \u003cbr\u003e Boundary Conditions\u003cbr\u003e \u003cbr\u003e Initial Conditions (and Well-Posedness)\u003cbr\u003e \u003cbr\u003e Interim Summary\u003cbr\u003e \u003cbr\u003e Global Conservation Laws\u003cbr\u003e \u003cbr\u003e Weak Form of the PDEhod\u003cbr\u003e \u003cbr\u003e Variational Principles for Potential and Stokes Flow\u003cbr\u003e \u003cbr\u003e Solution Methods for the Semi_Discretized Time-Dependent (and Steady) Equations\u003cbr\u003e \u003cbr\u003e Aliasing and Aliasing Instability, Linear and Non-Linear\u003cbr\u003e \u003cbr\u003e A New Look at Two Old Finite Difference Methods\u003cbr\u003e \u003cbr\u003e Numerical Example\u003cbr\u003e \u003cbr\u003e Closure: Some Additional Remarks on the Pressure\u003cbr\u003e \u003cbr\u003e 4. Derived Quantities\u003cbr\u003e \u003cbr\u003e Introduction\u003cbr\u003e \u003cbr\u003e Two Dimensions\u003cbr\u003e \u003cbr\u003e Three Dimensions\u003cbr\u003e \u003cbr\u003e Appendix 1 Some Element Matrix\u003cbr\u003e \u003cbr\u003e Appendix 2 Further Comparison of Finite Elements and Finite Volumes\u003cbr\u003e \u003cbr\u003e Appendix 3 Projections, Orthagonal and Not and Projection Methods\u003cbr\u003e \u003cbr\u003e References\u003cbr\u003e \u003cbr\u003e Author Index\u003cbr\u003e \u003cbr\u003e Subject Index \"The book covers the subject in a complete and excellent way, and is most recommended to everybody in this research area. Moreover, the book is written in an interesting, well-organized and very readable way, and approaches the various subjects both by \"looking from above\" and by going into the details. Sometimes, it also touches on some slightly controversial subjects, which adds flaour to the book.\" --Dan Givoli, Editor, IACMM Newsletter  \u003cp\u003eP. M. Gresho is the author of Incompressible Flow and the Finite Element Method, 2 Volume Set, published by Wiley. R. L. Sani is the author of Incompressible Flow and the Finite Element Method, 2 Volume Set, published by Wiley.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989413904613,"sku":"NP9780471492689","price":323.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471492689.jpg?v=1761784011","url":"https:\/\/k12savings.com\/products\/incompressible-flow-and-the-finite-element-method-2-volume-set-isbn-9780471492689","provider":"K12savings","version":"1.0","type":"link"}