Dissertation/Thesis Abstract

Design of a high-order front tracking method in 2D
by Vahab, Mehdi, M.S., University of California, Davis, 2010, 42; 1482872
Abstract (Summary)

This document presents a proposal for a new high-order front tracking method in 2D. A thorough review of existing methods for moving and/or irregular boundaries is presented. From this review, the 1D front-tracking approach of Gatti-Bono emerges as the most promising starting point for a higher-dimensional method. The Gatti-Bono method in 1D is then explained in detail, and a 2D extension is proposed. This extension incorporates a number of ideas from the literature on embedded boundary methods for stationary irregular geometries.

Indexing (document details)
Advisor: Miller, Gregory H.
Commitee: Baldis, Hector A., Harris, Walter M.
School: University of California, Davis
Department: Applied Science Engineering
School Location: United States -- California
Source: MAI 49/02M, Masters Abstracts International
Subjects: Mathematics, Engineering, Plasma physics
Keywords: Front tracking, High-order methods, Irregular boundaries, Moving interface, Numerical methods
Publication Number: 1482872
ISBN: 978-1-124-31942-1
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