Title page for etd-0413118-191748


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URN etd-0413118-191748
Author Bing-han Lin
Author's Email Address jaguar3096@gmail.com
Statistics This thesis had been viewed 5565 times. Download 85 times.
Department Marine Environment and Engineering
Year 2017
Semester 2
Degree Master
Type of Document
Language English
Title Method of fundamental solutions on simulating sloshing liquids in 2D tanks
Date of Defense 2018-01-26
Page Count 98
Keyword
  • Numerical tank
  • Nonlinear free surface
  • Method of fundamental solution
  • Meshless method
  • Abstract A two dimension numerical model for sloshing response of the partially filled con-
    tainer is developed by a meshless method in this study. Laplace equation is considered
    as the governing equation for potential flow, and fully non-linear free surface boundary
    conditions are implemented on the free surface. The numerical model is established in
    the moving coordinate system attached to the container. The present meshless method,
    method of fundamental solutions, only need to distribute nodes on the physical bound-
    aries and the virtual boundaries outside the computational domain. Comparing with the
    traditional mesh-based numerical method, this method has the advantage of being easy
    to construct and flexible in dealing with the moving boundary problem. A preliminary
    numerical validation was carried out by the case of a free oscillating standing wave. The
    parameters such as the position of the virtual boundary, the number of nodes, and the time
    step size are also determined.
    The program is written in Python. A simple method for tracking fully non-linear free
    surface is implemented, and the physical boundaries are updated with time. The numerical
    results under horizontal motions were compared with the solutions of Chen and Chiang
    (1999) and Frandsen (2004), respectively. The comparison shows that the presented re-
    sults coincide with their solutions very well in both resonance and off-resonance cases.
    The present numerical model is further applied to the sloshing response under coupled
    motions (horizontal and vertical). Based on the study of Benjamin and Ursell (1954) who
    discussed the stability of sloshing response under vertical motion, 25 cases are conducted
    in  various sloshing parameters under coupled motions. The present numerical model has
    been successfully applied to investigating sloshing response under coupled motions.
    Advisory Committee
  • Liang-hsiung Huang - chair
  • Chia-Cheng Tsai - co-chair
  • Shih-Meng Hsu - co-chair
  • Bang-Fuh Chen - advisor
  • Files
  • etd-0413118-191748.pdf
  • indicate access worldwide
    Date of Submission 2018-05-13

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