Numerical Methods for Non-Newtonian Fluids

Special Volume

Series Editor:

  • Philippe Ciarlet, City University of Hong Kong, Kowloon

Edited by

  • R. Glowinski, Department of Mathematics, University of Houston, Houston, TX, USA
  • Jinchao Xu, Department of Mathematics, Pennsylvania State University, University Park, PA, USA

Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike.

This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics.

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Academics, researchers, and practitioners in Numerical Methods for Non-Newtonian Fluids.


Book information

  • Published: December 2010
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-53047-9


"This excellent volume gives a complete and up-to-date presentation of numerical methods for solving many problems of incompressible flow. The emphasis is on Navier-Stokes equations, but the volume also treats other important flows such as particulate flows and visco-plastic flows...this volume is very clear and so well written that it is even accessible at the level of P.H.D. students. It is a unique reference text on incompressible flow for researchers and engineers." --Vivette Girault

Table of Contents

Part I: Grade-Two Fluids
Numerical Methods for Grade-Two Fluid Models: Finite-element Discretizations and Algorithms
Part II: Viscoelastic Fluids
The Langevin and Fokker-Planck Equations in Polymer Rheology
Viscoelastic Flows with Complex Free Surfaces: Numerical Analysis and Simulation
Stable Finite Element Discretizations for Viscoelastic Flow Models
Positive Definiteness Preserving Approaches for Viscoelastic Flow of Oldroyd-B Fluids: Applications to a Lid-driven Cavity Flow and a Particulate Flow
Part III: Viscoplastic Fluids
On the Numerical Simulation of Viscoplastic Fluid Flows
Modeling, Simulation and Optmization of Electrorheological Fluids