Boundary integral/spectral element solution of the Navier-Stokes equations

A boundary integral/spectral element technique was developed to solve the unsteady Navier-Stokes equations and the steady convective transport equation. A semi-implicit formulation of the temporal integration rendered a linear spatial problem at sequential time increments. For low to moderate Reynolds number flows, time stepping tests of the complete method provided stable Navier-Stokes simulations for simple model flows in an arbitrary geometry. The patching of the elemental solution fields into a domain-wide complete solution was achieved by a boundary integral approach. The method offered spectral accuracy in space and admitted high-accuracy discretization in time.

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

• Occhialini, James Michael

Contributors dc:contributor

• Higdon, Jonathan J.L.

• Engineering, Chemical

Statement dc:rights

• Copyright 1992 Occhialini, James Michael

Language dc:language

eng

Identifier

AAI9215861
(UMI)AAI9215861

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/20590