Computational Rheology

By: Robert G Owens, Timothy N Phillips

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Hardcover | 30 May 2002

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436 Pages

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18.5 x 26.6 x 2.7

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Modern day high-performance computers are making available solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject - problems which used to be intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling. This work traces the development of numerical methods for non-Newtonian flows from the late 1960's to 2001. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations. All the topics in this book are dealt with from an elementary level.

Industry Reviews

"The strength of the book is that the authors have combined a mathematical approach with a good understanding of the physics. It helps the reader decipher the long, tortuous literature by using modern mathematical concepts ... it is a gem, and every person modeling viscoelastic fluids needs one." Mathematical Reviews "This book performs a useful service in bringing together in a single volume a set of techniques that have been used with profit in non-Newtonian problems. It flags up some of the special difficulties of viscoelastic flow computation, and properly emphasizes the importance of mesh refinement." Journal of Fluid Mechanics

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Introduction	p. 1
Fundamentals	p. 19
Mathematical Theory of Viscoelastic Fluids	p. 49
Parameter Estimation in Continuum Models	p. 73
From the Continuous to the Discrete	p. 95
Numerical Algorithms for Macroscopic Models	p. 135
Defeating the High Weissenberg Number Problem	p. 173
Benchmark Problems I: Contraction Flows	p. 201
Benchmark Problems II	p. 247
Error Estimation and Adaptive Strategies	p. 305
Contemporary Topics in Computational Rheology	p. 327
Some Results about Tensors	p. 361
Governing Equations in Orthogonal Curvilinear Coordinates	p. 365
Table of Contents provided by Blackwell. All Rights Reserved.

Computational Rheology

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Hardcover

Industry Reviews

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