| Summary: | This thesis describes a time-domain boundary element method to numerically simulate
linear waves generated by a horizontal-moving landslide of an arbitrary profile. The
approach to setting up the numerical models is based on a Green's function method and a
time-stepping procedure. The numerical models include a boundary condition at the
landslide surface that accounts for wave generation, a radiation condition in the far field
that accounts for open water, and free surface boundary conditions in a time-stepping
procedure that account for wave propagation. By solving the first-order boundary value
problem in the time domain, waves generation and propagation are simulated
numerically. Although the present numerical method can be applied to a variety of
landslide configurations, only vertical wall with horizontal movement is considered in the
present study. The corresponding numerical models in two dimensions and three
dimensions are developed.
The numerical models are initially used to simulate the waves generated by a
piston-type wavemaker with a periodic wave paddle movement, and the results are
validated against a number of analytical solutions as well as available experimental
results. Specific two-dimensional landslide problems are also simulated on a horizontalmoving
wall movement and comparisons of numerical results with analytical solutions
have demonstrated good agreement.
A number of numerical simulations on landslide-generated waves have been
performed and a selection of numerical results is presented and analyzed. The results
exhibit various features of interest that are discussed. Engineering curves have been
developed based on the numerical results to estimate order-of-magnitude wave height
caused by landslides. A case study has been carried out to demonstrate the application of
numerical models.
The numerical method can be applied to account for a landslide of an arbitrary
shape and movement, and a water body surrounded by surfaces of various geometries.
The approach and numerical models can also be extended to account for nonlinear wave
effects.
Overall, the numerical method and the numerical models are found to be able to
provide a reasonably flexible and reliable means of studying and predicting landslidegenerated
waves.
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