Finite Element Methods for Viscous Incompressible Flows ：A Guide to Theory, Practice, and Algorithms ( Computer Science and Scientific Computing )

Publication subTitle ：A Guide to Theory, Practice, and Algorithms

Publication series ：Computer Science and Scientific Computing

Author： Gunzburger Max D.

Publisher： Elsevier Science‎

Publication year： 2012

E-ISBN: 9780323139823

P-ISBN(Paperback): 9780123073501

P-ISBN(Hardback): 9780123073501

Subject： O357 粘性流体力学

Language： ENG

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Description

Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.

Chapter

Front Cover

pp.： 1 – 4

Finite Element Methods for Viscous Incompressible Flows: A Guide to Theory, Practice, and Algorithms

pp.： 4 – 5

pp.： 5 – 8

Dedication

pp.： 6 – 14

Table of Contents

pp.： 8 – 6

Preface

pp.： 14 – 18

Acknowledgments

pp.： 18 – 20

Part I: DISCRETIZATIONS OF THE PRIMITIVE VARIABLE FORMULATION

pp.： 20 – 98

Part II: SOLUTION OF THE DISCRETE EQUATIONS

pp.： 98 – 134

Part III: TIME-DEPENDENT PROBLEMS

pp.： 134 – 152

Part IV: THE STREAMFUNCTION-VORTICITY FORMULATION

pp.： 152 – 174

Part V: THE STREAMFUNCTION FORMULATION

pp.： 174 – 188

Part VI: EIGENVALUE PROBLEMS CONNECTED WITH STABILITY STUDIES FOR VISCOUS FLOWS

pp.： 188 – 200

Part VII: EXTERIOR PROBLEMS

pp.： 200 – 210

Part VIII: NONLINEAR CONSTITUTIVE RELATIONS

pp.： 210 – 226

Part IX: ELECTROMAGNETICALLY OR THERMALLY COUPLED FLOWS

pp.： 226 – 244

Part X: REMARKS ON SOME TOPICS THAT HAVE NOT BEEN CONSIDERED

pp.： 244 – 260

Bibliography

pp.： 260 – 278

Index of Symbol Definitions

pp.： 278 – 280

Author Index

pp.： 280 – 284

Subject Index

pp.： 284 – 293

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