Numerical Treatment Of The Navier Stokes Equations


Numerical Treatment Of The Navier Stokes Equations
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Numerical Treatment Of The Navier Stokes Equations


Numerical Treatment Of The Navier Stokes Equations
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Author : GAMM. Conference on Numerical Methods in Fluid Mechanics
language : en
Publisher:
Release Date : 1990

Numerical Treatment Of The Navier Stokes Equations written by GAMM. Conference on Numerical Methods in Fluid Mechanics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Fluid mechanics categories.




Numerical Treatment Of The Navier Stokes Equations


Numerical Treatment Of The Navier Stokes Equations
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Author : Wolfgang Hackbusch
language : de
Publisher: Springer-Verlag
Release Date : 2013-09-03

Numerical Treatment Of The Navier Stokes Equations written by Wolfgang Hackbusch and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Technology & Engineering categories.




Numerical Methods For Two Phase Incompressible Flows


Numerical Methods For Two Phase Incompressible Flows
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Author : Sven Gross
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-26

Numerical Methods For Two Phase Incompressible Flows written by Sven Gross and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-26 with Mathematics categories.


This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.



Navier Stokes Equations


Navier Stokes Equations
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Author : Roger Temam
language : en
Publisher: American Mathematical Society
Release Date : 2024-05-24

Navier Stokes Equations written by Roger Temam and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-24 with Mathematics categories.


Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.



Numerical Methods In Fluid Dynamics


Numerical Methods In Fluid Dynamics
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Author : North Atlantic Treaty Organization. Advisory Group for Aerospace Research and Development
language : en
Publisher:
Release Date : 1972

Numerical Methods In Fluid Dynamics written by North Atlantic Treaty Organization. Advisory Group for Aerospace Research and Development and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Fluid dynamics categories.


;Contents: On the numerical approximation of some equations arising in hydrodynamics; Approximation of Navier-Stokes equations; Sur l'approximation des equations de Navier-Stokes des fluides visqueux incompressibles; Numerical solution of steady state Navier-Stokes equations; Numerical solution of the Navier-Stokes equations at high reynolds numbers and the problem of discretization of convective derivatives; Numerical analysis of viscous one-dimensional flows; A critical analysis of numerical techniques: the piston-driven inviscid flow; Transient and asymptotically steady flow of an inviscid compressible gas past a circular cylinder; The blunt body problem for a viscous rarefied gas; The choice of a time-dependent technique in gas dynamics; Application of finite elements methods in fluid dynamics; Computational methods for inviscid transonic flows with inbedded shock waves; Numerical treatment of time-dependent three-dimensional flows; Un example de modele mathematique complexe en mecanique des fluides.



Navier Stokes Equations


Navier Stokes Equations
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Author : Roger Temam
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-04-10

Navier Stokes Equations written by Roger Temam and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-10 with Mathematics categories.


Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.



Finite Element Methods For Navier Stokes Equations


Finite Element Methods For Navier Stokes Equations
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Author : Vivette Girault
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Finite Element Methods For Navier Stokes Equations written by Vivette Girault and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemen tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].



The Numerical Solution Of The Navier Stokes Equations For An Incompressible Fluid


The Numerical Solution Of The Navier Stokes Equations For An Incompressible Fluid
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Author : Alexandre Joel Chorin
language : en
Publisher:
Release Date : 1967

The Numerical Solution Of The Navier Stokes Equations For An Incompressible Fluid written by Alexandre Joel Chorin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.




Numerical Treatment Of Coupled Systems


Numerical Treatment Of Coupled Systems
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Author : Wolfgang Hackbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Numerical Treatment Of Coupled Systems written by Wolfgang Hackbusch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.


The coupling considered in this volume may be of physical or numerical nature. Examples of the first kind are the solid-fluid interactions, microelectronic systems, and the coupled modelling in groundwater flow. Examples of the latter kind are the domain or subspace decomposition, the local defect correction method, and the very important FEM-BEM coupling.



The Navier Stokes Equations


The Navier Stokes Equations
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Author : Rodolfo Salvi
language : en
Publisher: CRC Press
Release Date : 2001-09-27

The Navier Stokes Equations written by Rodolfo Salvi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-27 with Mathematics categories.


"Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."