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Computational Rheology

Robert G. Owens and Timothy N. Phillips

The book describes and discusses discretization techniques and computational algorithms for complex fluid simulations. In particular the book has chapters on adaptive methods and algorithms for stochastic partial differential equations.

Bookcover

Format: Hardcover, English, 436 pages
ISBN: 1860941869
Publisher: Imperial College Press
Pub. Date: 2002
Edition: 1

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Book Description

Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject: problems which only 10 years ago were 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.

Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. 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 and up-to-date 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 and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities.



Table of Contents

  Introduction  
  Fundamentals  
  Mathematical Theory of Viscoelastic Fluids  
  Parameter Estimation in Continuum Models  
  From the Continuous to the Discrete  
  Numerical Algorithms for Macroscopic Models  
  Defeating the High Weissenberg Number Problem  
  Benchmark Problems I: Contraction Flows  
  Benchmark Problems II  
  Error Estimation and Adaptive Strategies  
  Contemporary Topics in Computational Rheology  

Related Book Categories

Non-Newtonian Flows


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