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    Multiphase interface tracking with fast semi-Lagrangian contouring

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    Authors
    Li, Xiaosheng
    He, Xiaowei
    Liu, Xuehui
    Zhang, Jian J.
    Liu, Baoquan
    Wu, Enhua
    Affiliation
    University of Chinese Academy of Sciences
    Bournemouth University
    University of Bedfordshire
    Issue Date
    2015-09-03
    Subjects
    fluid simulation
    multiphase interface tracking
    semi-Lagrangian contouring
    
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    Abstract
    We propose a semi-Lagrangian method for multiphase interface tracking. In contrast to previous methods, our method maintains an explicit polygonal mesh, which is reconstructed from an unsigned distance function and an indicator function, to track the interface of arbitrary number of phases. The surface mesh is reconstructed at each step using an efficient multiphase polygonization procedure with precomputed stencils while the distance and indicator function are updated with an accurate semi-Lagrangian path tracing from the meshes of the last step. Furthermore, we provide an adaptive data structure, multiphase distance tree, to accelerate the updating of both the distance function and the indicator function. In addition, the adaptive structure also enables us to contour the distance tree accurately with simple bisection techniques. The major advantage of our method is that it can easily handle topological changes without ambiguities and preserve both the sharp features and the volume well. We will evaluate its efficiency, accuracy and robustness in the results part with several examples.
    Citation
    Li X, He X, Liu X, Zhang JJ, Liu B, Wu E (2016) 'Multiphase interface tracking with fast semi-Lagrangian contouring', IEEE Transactions on Visualization and Computer Graphics, 22 (8), pp.1973-1986.
    Publisher
    IEEE Computer Society
    Journal
    IEEE Transactions on Visualization and Computer Graphics
    URI
    http://hdl.handle.net/10547/624535
    DOI
    10.1109/TVCG.2015.2476788
    Additional Links
    https://ieeexplore.ieee.org/document/7239614
    Type
    Article
    Language
    en
    ISSN
    1077-2626
    ae974a485f413a2113503eed53cd6c53
    10.1109/TVCG.2015.2476788
    Scopus Count
    Collections
    Computing

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