Numerical Simulation of Incompressible Viscous Flow : : Methods and Applications / / Roland Glowinski, Tsorng-Whay Pan.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• VerfasserIn: Glowinski, Roland,; Pan, Tsorng-Whay,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2022]; ©2022
• Year of Publication: 2022
• Language: English
• Series: De Gruyter Series in Applied and Numerical Mathematics , 7
• Physical Description: 1 online resource (XVI, 216 p.)
• Other title: Frontmatter --; 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110785012; 9783110766820; 9783110993899; 9783110994810; 9783110993868; 9783110770445
• ISSN: 2512-1820
• DOI: 10.1515/9783110785012
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Roland Glowinski, Tsorng-Whay Pan.

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.