A level set method to track open surfaces

Details

Supervisors

Chatelain, Philippe ; van Rees, Wim ; Duponcheel, Matthieu

Faculty

Ecole polytechnique de Louvain

Degree label

Master [120] : ingénieur civil mécanicien, à finalité spécialisée

Abstract

This master's thesis aims to contribute to the enhancement of numerical methods primarily applied to fluid mechanics. Specifically, it seeks to improve the representation of open surfaces, i.e. surfaces with edges, embedded in three-dimensional space. Open surfaces are used when the flow around parachutes, flags, boat sails, nets or drogues need to be studied. The research project involves the study, development and implementation of numerical methods in an existing three-dimensional parallel multiresolution adaptive grid framework (MURPHY), allowing for the implicit representation of open surfaces. Firstly, a level set method for tracking closed surfaces is implemented and studied using several benchmarks. A narrow-band strategy on a multiresolution grid is also implemented to improve the computational performance. Then, an open level set method associated with a reinitialization method based on solving partial differential equations is proposed. The open level set method is studied using benchmarks in two- and three-dimensional space.