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.
|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|
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