Computational simulation of buoyancy-driven flows using vortex methods

A new vortex method for simulating two-dimensional buoyancy-driven flows is presented. This Lagrangian method utilizes a discrete representation of the known density field along with the vorticity transport equation and Boussinesq approximation to yield the baroclinically-generated vorticity field, also in a discrete form. The corresponding velocity field is then computed using a vorticity-streamfunction scheme similar to the vortex-in-cell approach. Complete simulations for a variety of Rayleigh-Taylor stability problems are presented, as are preliminary results for Rayleigh-Bernard flows.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Chemical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Egan, Erik Witmer

Contributors dc:contributor

• Higdon, Jonathan J.L.

• Engineering, Chemical
• Physics, Fluid and Plasma

Statement dc:rights

• Copyright 1989 Egan, Erik Witmer

Language dc:language

eng

Identifier

AAI8924811
(UMI)AAI8924811

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/20972