Numerical Simulation of Incompressible Viscous Flow : Methods and Applications /

Glowinski, Roland,

Numerical Simulation of Incompressible Viscous Flow : Methods and Applications / Roland Glowinski, Tsorng-Whay Pan. - 1 online resource (XVI, 216 p.) - De Gruyter Series in Applied and Numerical Mathematics , 7 2512-1820 ; .

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

restricted access http://purl.org/coar/access_right/c_16ec

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.




Mode of access: Internet via World Wide Web.


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


In English.

9783110785012

10.1515/9783110785012 doi


MATHEMATICS / General.
MATHEMATICS / Applied.
MATHEMATICS / Numerical Analysis.
Technology & Engineering / Mechanical.

Viskoser Fluss Navier-Stokes-Gleichungen Navier-Stokes Equations viscous flow numerical experiments finite element methods. Navier-Stokes Equations, viscous flow, numerical experiments, finite element methods.