{"product_id":"incompressible-flow-and-finite-element-v-2-isothermal-laminar-flow-9780471492504","title":"Incompressible Flow and Finite Element V 2","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eGlossary of Abbreviations\u003cbr\u003e Preface and Introduction\u003cbr\u003e 3. The Navier-Stokes Equations\u003cbr\u003e 3.1 Notational Introduction\u003cbr\u003e 3.2 The Continuum Equations\u003cbr\u003e 3.3 Alternate Forms of the Viscous Term\u003cbr\u003e 3.4 Alternate Forms of the Non-Linear Term\u003cbr\u003e 3.5 Derived Equations\u003cbr\u003e 3.6 Alternate Statements of the NS Equations\u003cbr\u003e 3.7 Special Cases of Interest\u003cbr\u003e 3.8 Boundary Conditions\u003cbr\u003e 3.9 Initial Conditions (and Well-Posedness)\u003cbr\u003e 3.10 Interim Summary\u003cbr\u003e 3.11 Global Conservation Laws\u003cbr\u003e 3.12 Weak Form of the PDE's \/\u003cbr\u003e Natural Boundary Conditions (NBC's)\u003cbr\u003e 3.13 The Finite Element Equations \/\u003cbr\u003e Discretization of the Weak Form\u003cbr\u003e 3.14 A Control Volume Finite Element Method\u003cbr\u003e 3.15 Variational Principles for Potential and Stokes Flow\u003cbr\u003e 3.16 Solution Methods for the Semi_Discretized Time-Dependent (and Steady) Equations\u003cbr\u003e 3.17 Aliasing and Aliasing Instability, Linear and Non-Linear\u003cbr\u003e 3.18 A New Look at Two Old Finite Difference Methods\u003cbr\u003e 3.19 Numerical Example -\u003cbr\u003e Implusive Start\u003cbr\u003e 3.20 Closure: Some Additional Remarks on the Pressure\u003cbr\u003e 4. Derived Quantities\u003cbr\u003e 4.1 Introduction\u003cbr\u003e 4.2 Two Dimensions\u003cbr\u003e 4.3 Three Dimensions\u003cbr\u003e Appendix 1 Some Element Matrix\u003cbr\u003e A.1.1 Advection Diffusion Matrices\u003cbr\u003e A.1.2 One-Dimensional Element Matrices\u003cbr\u003e A.1.3 Two-Dimensional Element Matrices\u003cbr\u003e A.1.4 Navier-Stokes: Additional Matrices\u003cbr\u003e A.1.5 Two-Dimensional Control Volume Finite Element Matrices\u003cbr\u003e Appendix 2 Further Comparison of Finite Elements and Finite\u003cbr\u003e Volumes\u003cbr\u003e A.2.1 Introduction\u003cbr\u003e A.2.2 Viewpoint One\u003cbr\u003e A.2.3 Viewpoint Two\u003cbr\u003e Appendix 3 Projections, Orthagonal and Not and Projection Methods\u003cbr\u003e A.3.1 Introduction\u003cbr\u003e A.3.2 Scalar Projections\u003cbr\u003e A.3.3 Vector Projections\u003cbr\u003e References\u003cbr\u003e Author Index\u003cbr\u003e Subject Index","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402614088023,"sku":"9780471492504","price":120.56,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471492504.jpg?v=1730480973","url":"https:\/\/bookcurl.com\/products\/incompressible-flow-and-finite-element-v-2-isothermal-laminar-flow-9780471492504","provider":"Book Curl","version":"1.0","type":"link"}