Numerical Simulation of Incompressible Viscous Flow: Methods and Applications

Roland Glowinski; Tsorng-Whay Pan

Published by De Gruyter 2022

Numerical Simulation of Incompressible Viscous Flow

Methods and Applications

Roland Glowinski and Tsorng-Whay Pan

Volume 7 in the series De Gruyter Series in Applied and Numerical Mathematics

https://doi.org/10.1515/9783110785012

Overview
Contents

About this book

This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.

This book discusses finite element based computational methods for solving incompressible viscous fluid flow problems. Fundamental aspects of the computational methodologies, and extensions for advanced engineering applications are also presented.

Author / Editor information

Roland Glowinski^†and Tsorng-Whay Pan, University of Houston, USA.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	IX
Contents Publicly Available Download PDF	XIII
1 Governing equations Requires Authentication Unlicensed Licensed Download PDF	1
2 Operator splitting methods for initial value problems: Application to the Navier–Stokes equations Requires Authentication Unlicensed Licensed Download PDF	13
3 Advection problems Requires Authentication Unlicensed Licensed Download PDF	23
4 Numerical solution of the generalized Stokes-type subproblems Requires Authentication Unlicensed Licensed Download PDF	37
5 Finite-element approximation of the Navier–Stokes equations Requires Authentication Unlicensed Licensed Download PDF	79
6 Numerical experiments: Description and results Requires Authentication Unlicensed Licensed Download PDF	117
7 Further applications (I): A distributed Lagrange multiplier/fictitious-domain method for simulating lid-driven viscous flows in a hemispherical cavity Requires Authentication Unlicensed Licensed Download PDF	144
8 Further applications (II): On the simulation of the lid-driven cavity flow of an Oldroyd-B fluid Requires Authentication Unlicensed Licensed Download PDF	164
9 Further applications (III): A distributed Lagrange multiplier/fictitious-domain method for simulating particles settling in an Oldroyd-B fluid Requires Authentication Unlicensed Licensed Download PDF	180
Bibliography Requires Authentication Unlicensed Licensed Download PDF	203
Index Requires Authentication Unlicensed Licensed Download PDF	213

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Institutional Libraries, graduate students and researchers doing work in computational fluid dynamics and mathematics.
Pages
- Front matter: 16
- Main content: 216
Illustrations
- Illustrations: 47
- Coloured Illustrations: 10
Keywords: Navier-Stokes Equations; viscous flow; numerical experiments; finite element methods.

eBook

Published: September 20, 2022
ISBN: 9783110785012

Hardcover

Published: September 20, 2022
ISBN: 9783110784916