Computational Rheology

Robert G Owens, Timothy N Phillips

• Publisher: ICP
• Year: 2002
• Print ISBN:
  9781860941863
  9781860941863
• eBook ISBN:
  9781860949425
• Topic: Matemáticas
• Subtopic: Matemáticas discretas

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

• Contents
• Preface
• Preface to the Second Printing
• Chapter 1 Introduction
• Chapter 2 Fundamentals
• Chapter 3 Mathematical Theory of Viscoelastic Fluids
• Chapter 4 Parameter Estimation in Continuum Models
• Chapter 5 From the Continuous to the Discrete
• Chapter 6 Numerical Algorithms for Macroscopic Models
• Chapter 7 Defeating the High Weissenberg Number Problem
• Chapter 8 Benchmark Problems I: Contraction Flows
• Chapter 9 Benchmark Problems II
• Chapter 10 Error Estimation and Adaptive Strategies
• Chapter 11 Contemporary Topics in Computational Rheology
• Appendix A Some Results about Tensors
• Appendix B Governing Equations in Orthogonal Curvilinear Coordinates
• Bibliography
• Index