Numerical Simulation of Incompressible Viscous Flow
Description
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.
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Persons
Roland Glowinski ┼ and Tsorng-Whay Pan , University of Houston, USA.
Content
- Intro
- Preface
- Contents
- 1 Governing equations
- 2 Operator splitting methods for initial value problems: Application to the Navier-Stokes equations
- 3 Advection problems
- 4 Numerical solution of the generalized Stokes-type subproblems
- 5 Finite-element approximation of the Navier-Stokes equations
- 6 Numerical experiments: Description and results
- 7 Further applications (I): A distributed Lagrange multiplier/fictitious-domain method for simulating lid-driven viscous flows in a hemispherical cavity
- 8 Further applications (II): On the simulation of the lid-driven cavity flow of an Oldroyd-B fluid
- 9 Further applications (III): A distributed Lagrange multiplier/fictitious-domain method for simulating particles settling in an Oldroyd-B fluid
- Bibliography
- Index
