High-Fidelity Numerical Simulation of Shallow Water Waves
| dc.contributor.author | Zainali, Amir | en |
| dc.contributor.committeechair | Weiss, Robert | en |
| dc.contributor.committeemember | Irish, Jennifer L. | en |
| dc.contributor.committeemember | Xiao, Heng | en |
| dc.contributor.committeemember | Stark, Nina | en |
| dc.contributor.committeemember | King, Scott D. | en |
| dc.contributor.department | Geosciences | en |
| dc.date.accessioned | 2016-12-10T09:00:35Z | en |
| dc.date.available | 2016-12-10T09:00:35Z | en |
| dc.date.issued | 2016-12-09 | en |
| dc.description.abstract | Tsunamis impose significant threat to human life and coastal infrastructure. The goal of my dissertation is to develop a robust, accurate, and computationally efficient numerical model for quantitative hazard assessment of tsunamis. The length scale of the physical domain of interest ranges from hundreds of kilometers, in the case of landslide-generated tsunamis, to thousands of kilometers, in the case of far-field tsunamis, while the water depth varies from couple of kilometers, in deep ocean, to few centimeters, in the vicinity of shoreline. The large multi-scale computational domain leads to challenging and expensive numerical simulations. I present and compare the numerical results for different important problems --- such as tsunami hazard mitigation due to presence of coastal vegetation, boulder dislodgement and displacement by long waves, and tsunamis generated by an asteroid impact --- in risk assessment of tsunamis. I employ depth-integrated shallow water equations and Serre-Green-Naghdi equations for solving the problems and compare them to available three-dimensional results obtained by mesh-free smoothed particle hydrodynamics and volume of fluid methods. My results suggest that depth-integrated equations, given the current hardware computational capacities and the large scales of the problems in hand, can produce results as accurate as three-dimensional schemes while being computationally more efficient by at least an order of a magnitude. | en |
| dc.description.abstractgeneral | A tsunami is a series of long waves that can travel for hundreds of kilometers. They can be initiated by an earthquake, a landslide, a volcanic eruption, a meteorological source, or even an asteroid impact. They impose significant threat to human life and coastal infrastructure. This dissertation presents numerical simulations of tsunamis. The length scale of the physical domain of interest ranges from hundreds of kilometers, in the case of landslide-generated tsunamis, to thousands of kilometers, in the case of far-field tsunamis, while the water depth varies from couple of kilometers, in deep ocean, to few centimeters, in the vicinity of shoreline. The large multi-scale computational domain leads to challenging and expensive numerical simulations. I present and compare the numerical results for different important problems — such as tsunami hazard mitigation due to presence of coastal vegetation, boulder dislodgement and displacement by long waves, and tsunamis generated by an asteroid impact — in risk assessment of tsunamis. I employ two-dimensional governing equations for solving the problems and compare them to available three-dimensional results obtained by mesh-free smoothed particle hydrodynamics and volume of fluid methods. My results suggest that twodimensional equations, given the current hardware computational capacities and the large scales of the problems in hand, can produce results as accurate as three-dimensional schemes while being computationally more efficient by at least an order of a magnitude. | en |
| dc.description.degree | Ph. D. | en |
| dc.format.medium | ETD | en |
| dc.identifier.other | vt_gsexam:9189 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/73653 | en |
| dc.publisher | Virginia Tech | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | tsunami | en |
| dc.subject | dispersive waves | en |
| dc.subject | coastal vegetation | en |
| dc.title | High-Fidelity Numerical Simulation of Shallow Water Waves | en |
| dc.type | Dissertation | en |
| thesis.degree.discipline | Geosciences | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | doctoral | en |
| thesis.degree.name | Ph. D. | en |
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