In this article we discuss the solution of the Navier-Stokes equations modelling unsteady incompressible viscous flow, by numerical methods combining operator splitting for the time discretization and finite elements for the space discretization.
The discussion includes the description of conjugate gradient algorithms which are used to solve the advection-diffusion and Stokes type problems produced at each time step by the operator splitting methods.
%0 Book Section
%1 noauthororeditor
%A Dean, Edward J.
%A Glowinski, Roland
%B Incompressible Computational Fluid Dynamics
%D 1993
%I Cambridge University Press
%K 76d05-incompressible-navier-stokes-equations 76m10-finite-element-methods-in-fluid-mechanics
%P 17–66
%R 10.1017/CBO9780511574856.003
%T On Some Finite Element Methods for the Numerical Simulation of Incompressible Viscous Flow
%U https://www.cambridge.org/core/books/incompressible-computational-fluid-dynamics/on-some-finite-element-methods-for-the-numerical-simulation-of-incompressible-viscous-flow/44818A8A1B66245ED243ADFDCBFE6268
%X In this article we discuss the solution of the Navier-Stokes equations modelling unsteady incompressible viscous flow, by numerical methods combining operator splitting for the time discretization and finite elements for the space discretization.
The discussion includes the description of conjugate gradient algorithms which are used to solve the advection-diffusion and Stokes type problems produced at each time step by the operator splitting methods.
%& 2
@incollection{noauthororeditor,
abstract = {In this article we discuss the solution of the Navier-Stokes equations modelling unsteady incompressible viscous flow, by numerical methods combining operator splitting for the time discretization and finite elements for the space discretization.
The discussion includes the description of conjugate gradient algorithms which are used to solve the advection-diffusion and Stokes type problems produced at each time step by the operator splitting methods.},
added-at = {2019-12-20T01:46:53.000+0100},
author = {Dean, Edward J. and Glowinski, Roland},
biburl = {https://www.bibsonomy.org/bibtex/2884a218293b957a8ba14e489c5eafaa0/gdmcbain},
booktitle = {Incompressible Computational Fluid Dynamics},
chapter = 2,
doi = {10.1017/CBO9780511574856.003},
interhash = {a5b8a4ec1b7278329c0bee30eaa03ee4},
intrahash = {884a218293b957a8ba14e489c5eafaa0},
keywords = {76d05-incompressible-navier-stokes-equations 76m10-finite-element-methods-in-fluid-mechanics},
pages = {17–66},
publisher = {Cambridge University Press},
timestamp = {2019-12-20T01:47:30.000+0100},
title = {On Some Finite Element Methods for the Numerical Simulation of Incompressible Viscous Flow},
url = {https://www.cambridge.org/core/books/incompressible-computational-fluid-dynamics/on-some-finite-element-methods-for-the-numerical-simulation-of-incompressible-viscous-flow/44818A8A1B66245ED243ADFDCBFE6268},
year = 1993
}