Incompressible Flow and the Finite Element Method, Volume 1, Advection-Diffusion and Isothermal Laminar Flow

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9780471492498: Incompressible Flow and the Finite Element Method, Volume 1, Advection-Diffusion and Isothermal Laminar Flow
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This comprehensive two-volume reference covers the application ofthe finite element method to incompressible flows in fluidmechanics, addressing the theoretical background and thedevelopment of appropriate numerical methods applied to theirsolution.

Volume One provides extensive coverage of the prototypical fluidmechanics equation: the advection-diffusion equation. For both thisequation and the equations of principal interest - theNavier-Stokes equations (covered in detail in Volume Two) - adiscussion of both the continuous and discrete equations ispresented, as well as explanations of how to properly march thetime-dependent equations using smart implicit methods. Boundary andinitial conditions, so important in applications, are carefullydescribed and discussed, including well-posedness. The importantrole played by the pressure, so confusing in the past, is carefullyexplained.

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 referencetool for all researchers, students and applied scientists inincompressible fluid mechanics.

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This self-contained book examines the applications of the finite element method to incompressible flows. It discusses theoretical background and methods development as well as the solution of a wide range of incompressible flows.

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This comprehensive two volume reference work is devoted to theimportant details regarding the application of the finite elementmethod to incompressible flows, addressing the theoreticalbackground and the detailed development of appropriate numericalmethods applied to their solution. Volume One provides extensivecoverage of the prototypical fluid mechanics equation: theadvection-diffusion equation. In addition, for both this equationand the equations of principal interest - the Navier-Stokesequations - (covered in detail in Volume Two), a discussion of boththe continuous and discrete equations is presented. Also addressedare explanations of how to properly march the time-dependentequations using smart implicit methods. Boundary and initialconditions, so important in applications, are thoroughly describedand discussed, including well-posedness. The important role playedby the pressure, so confusing in the past, is carefully explained.Together, this two volume work explains and emphasizes consistencyin six areas:
* consistent mass matrix
* consistent pressure Poisson equation
* consistent penalty methods
* consistent normal direction
* consistent heat flux
* consistent forces
Fully indexed and referenced

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9780471967897: Incompressible Flow and the Finite Element Method: Incompressible Flow and the Finite Element Method & Advection-Diffusion and Isothermal Laminar Flow ... Flow & the Finite Element Method) (v. 1)

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ISBN 10:  0471967890 ISBN 13:  9780471967897
Publisher: Wiley, 1998
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Book Description John Wiley and Sons Ltd, United Kingdom, 2000. Paperback. Condition: New. V01 ed.. Language: English. Brand new Book. 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. Seller Inventory # AAH9780471492498

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Book Description John Wiley and Sons Ltd, United Kingdom, 2000. Paperback. Condition: New. V01 ed.. Language: English. Brand new Book. 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. Seller Inventory # AAH9780471492498

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Book Description John Wiley and Sons Ltd, United Kingdom, 2000. Paperback. Condition: New. V01 ed.. Language: English. Brand new Book. 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. Seller Inventory # LIE9780471492498

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