Master of Science in Engineering Science (MSES)
Engineering Science (Interdepartmental Program)
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.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Fan, Qi, "An Euler solver for nonlinear water waves using a modified staggered grid and Gaussian quadrature approach" (2011). LSU Master's Theses. 1690.
Chen, Jim Qin