Operator splitting methods for the Navier-Stokes equations

The properties of two algorithms for the solution of the incompressible Navier-Stokes equations are examined. These algorithms are representative of the two prevalent splitting philosophies used to split the Navier-Stokes equations. The properties of the algorithms are determined by Fourier analysis of a model problem. It is shown that splittings resulting in Stokes subproblems have desirable dissipative properties which are lacking in the velocity-pressure splittings.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Computer Science

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Semeraro, Bart David

Contributors dc:contributor

• Sameh, Ahmed H.

• Computer Science

Statement dc:rights

• Copyright 1992 Semeraro, Bart David

Language dc:language

eng

Identifier

AAI9236591
(UMI)AAI9236591

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22428