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Incompressible Flow and the Finite Element Method, Volume 2: Isothermal Laminar
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eBay-Artikelnr.:284915081958
Artikelmerkmale
- Artikelzustand
- Book Title
- Incompressible Flow and the Finite Element Method, Volume 2: Isot
- Publication Date
- 2000-06-22
- Pages
- 640
- ISBN
- 9780471492504
- Subject Area
- Mathematics, Science
- Publication Name
- Incompressible Flow and the Finite Element Method, Volume 2 Vol. 2 : Isothermal Laminar Flow
- Publisher
- Wiley & Sons, Incorporated, John
- Item Length
- 9.6 in
- Subject
- Mechanics / General, Numerical Analysis
- Publication Year
- 2000
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 1.4 in
- Item Weight
- 33.7 Oz
- Item Width
- 6.7 in
- Number of Pages
- 640 Pages
Über dieses Produkt
Product Identifiers
Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471492507
ISBN-13
9780471492504
eBay Product ID (ePID)
1710424
Product Key Features
Number of Pages
640 Pages
Language
English
Publication Name
Incompressible Flow and the Finite Element Method, Volume 2 Vol. 2 : Isothermal Laminar Flow
Publication Year
2000
Subject
Mechanics / General, Numerical Analysis
Type
Textbook
Subject Area
Mathematics, Science
Format
Trade Paperback
Dimensions
Item Height
1.4 in
Item Weight
33.7 Oz
Item Length
9.6 in
Item Width
6.7 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
00-038161
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
532/.051
Table Of Content
Glossary of Abbreviations Preface and Introduction 3. The Navier-Stokes Equations 3.1 Notational Introduction 3.2 The Continuum Equations 3.3 Alternate Forms of the Viscous Term 3.4 Alternate Forms of the Non-Linear Term 3.5 Derived Equations 3.6 Alternate Statements of the NS Equations 3.7 Special Cases of Interest 3.8 Boundary Conditions 3.9 Initial Conditions (and Well-Posedness) 3.10 Interim Summary 3.11 Global Conservation Laws 3.12 Weak Form of the PDE's / Natural Boundary Conditions (NBC's) 3.13 The Finite Element Equations / Discretization of the Weak Form 3.14 A Control Volume Finite Element Method 3.15 Variational Principles for Potential and Stokes Flow 3.16 Solution Methods for the Semi_Discretized Time-Dependent (and Steady) Equations 3.17 Aliasing and Aliasing Instability, Linear and Non-Linear 3.18 A New Look at Two Old Finite Difference Methods 3.19 Numerical Example - Implusive Start 3.20 Closure: Some Additional Remarks on the Pressure 4. Derived Quantities 4.1 Introduction 4.2 Two Dimensions 4.3 Three Dimensions Appendix 1 Some Element Matrix A.1.1 Advection Diffusion Matrices A.1.2 One-Dimensional Element Matrices A.1.3 Two-Dimensional Element Matrices A.1.4 Navier-Stokes: Additional Matrices A.1.5 Two-Dimensional Control Volume Finite Element Matrices Appendix 2 Further Comparison of Finite Elements and Finite Volumes A.2.1 Introduction A.2.2 Viewpoint One A.2.3 Viewpoint Two Appendix 3 Projections, Orthagonal and Not and Projection Methods A.3.1 Introduction A.3.2 Scalar Projections A.3.3 Vector Projections References Author Index Subject Index
Synopsis
This 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., This 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. Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. For both this equation and the equations of principal interest - the Navier-Stokes equations (covered in detail in Volume Two) - a 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. The book explains and emphasizes consistency in six areas: * consistent mass matrix * consistent pressure Poisson equation * consistent penalty methods * consistent normal direction * consistent heat flux * consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics., This comprehensive two volume reference work is devoted to the important details regarding the application of the finite element method to incompressible flows, addressing the theoretical background and the detailed development of appropriate numerical methods applied to their solution. Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. In addition, for both this equation and the equations of principal interest - the Navier-Stokes equations - (covered in detail in Volume Two), a discussion of both the continuous and discrete equations is presented. Also addressed are explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are thoroughly described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. Together, this two volume work explains and emphasizes consistency in six areas: consistent mass matrix consistent pressure Poisson equation consistent penalty methods consistent normal direction consistent heat flux consistent forces Fully indexed and referenced, these two volumes form an essential reference tool for all research students and applied scientists in incompressible fluid mechanics., Das umfangreiche Handbuch zur Anwendung finiter Elemente auf die inkompressible Strömung: Jetzt neu als preiswerte Paperback-Ausgabe! Ausgehend von einer ausführlichen Erläuterung der theoretischen Grundlagen werden geeignete numerische Methoden zur Lösung vielfältiger Strömungsprobleme abgeleitet. Die in der Praxis au erordentlich wichtigen Anfangs- und Randbedingungen werden besonders sorgfältig behandelt. Nicht zuletzt finden sich Angaben zur bisher oft kontrovers diskutierten Rolle des Druckes. (06/00)
LC Classification Number
QA911.G715 2000
Artikelbeschreibung des Verkäufers
Angemeldet als gewerblicher Verkäufer
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