COMPUTATIONAL RHEOLOGY
by R G Owens (Université de Montréal, Canada)
&
T N Phillips (Cardiff University, UK)
Robert Owens completed his PhD in viscoelastic flow at the University of Wales Aberystwyth in 1990. He held positions as Assistant Professor at Bogazici University in Istanbul and Lecturer at Edinburgh University and Napier University before taking up a position as Assistant Professor in Non-Newtonian Fluid Mechanics at the Ecole Polytechnique Fédérale de Lausanne. Between 2004 and 2007 he was an Associate Professor in the Department of Mathematics at the University of Montréal, being subsequently promoted to a full Professorship at the same University. His research interests include numerical analysis, spectral methods and computational rheology. Timothy Phillips obtained his DPhil in numerical analysis from the University of Oxford in 1983. He spent two years as a Research Fellow at the Institute for Computer Applications in Science and Engineering at NASA Langley Research Center in Virginia before taking up a Lectureship at the University of Wales Aberystwyth. He is currently Professor of Mathematics at Aberystwyth. He has held Visiting Professorships at the University of Delaware and the Ecole Polytechnique Fédérale de Lausanne. His research interests include numerical analysis, spectral methods, computational fluid mechanics and rheology.
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.
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