Title page for ETD etd-11092011-230808

Type of Document Master's Thesis
Author Fan, Qi
Author's Email Address qfan1@tigers.lsu.edu
URN etd-11092011-230808
Title An Euler Solver for Nonlinear Water Waves Using a Modified Staggered Grid and Gaussian Quadrature Approach
Degree Master of Science in Engineering Science (M.S.E.S.)
Department Engineering Science (Interdepartmental Program)
Advisory Committee
Advisor Name Title
Chen, Jim Qin Committee Chair
Huang, Haosheng Committee Member
Wan, Xiaoliang Committee Member
  • finite volume method
  • Gauss-Legendre quadrature
  • modified staggered grid
  • free-surface flow
Date of Defense 2011-11-10
Availability unrestricted
A structured, finite-volume Euler solver for non-hydrostatic, free surface flows is developed to simulate coastal nonlinear dispersive water waves. A semi-implicit projection method which splits the pressure term into hydrostatic and non-hydrostatic parts is employed. A vertically shifted, staggered grid is designed to accommodate a new Gaussian discharge calculator and to facilitate the enforcement of a non-hydrostatic free-surface boundary condition. The Gaussian discharge calculator on the shifted grid increases the dispersion accuracy compared to traditional approaches that calculate discharges on a regular staggered grid. Numerical results are presented to demonstrate the improvements of these methods.
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