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.

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

"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."

"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."