A two-phase flow model in three dimensional cylindrical coordinates.
Published: 2006
Language: eng
Number of pages: 105
ISBN-13: 9780494212813
Description: A model for two-phase incompressible flows in 3D cylindrical coordinates has been developed, with a focus on accurate implementation of volume tracking, surface tension and flows with high density ratios. The volume of fluid (VOF) method with the piecewise linear interface construction (PLIC) is used to track the interface. The VOF algorithm was greatly simplified by developing a geometrical toolbox for reconstruction. To calculate interface curvature robustly and accurately, which highly affects the accuracy of the surface tension implementation, two approaches (the height function method and a method based on convolved volume fractions) have been implemented, and a technique has been developed to locally select the more accurate curvature. To couple the VOF and flow solvers, which is crucial when solving high density ratios, a method is presented to discretize the Navier-Stokes equations in the fully conservative form. The accuracy of the method is demonstrated through tests such as a static drop, polar cavity flow, and droplet impacts onto flat and cylindrical surfaces.
Notes: Source: Masters Abstracts International, Volume: 45-03, page: 1646.

Thesis (M.A.Sc.)--University of Toronto, 2006.

Electronic version licensed for access by U. of T. users.

ROBARTS MICROTEXT copy on microfiche.