Comprehensive Exam Presentation - Brian Kyanjo

A Riemann Solver for Wet/Dry interfaces in Finite Volume Schemes

Brian Kyanjo – Computational Math Science and Engineering

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Abstract:

The wetting and drying processes have significant physical and biological impacts on shallow water systems and coastal environments. They can arise due to inundation effects on coastal mudflats and wave-driven run-up on beaches by tsunamis and dunes on periodic time scales. These effects can cause extreme devastating damages and coastal erosion. With a basic understanding of the role that a Riemann solver plays in solving the shallow water wave equations, and the basic finite volume discretization approach, we described several approaches to handling wetting and drying processes.

Committee:

Dr. Donna Calhoun, Committee Chair
Dr. Jodi Mead
Dr. Michal Kopera
Dr. Dylan Mikesell
Dr. Min long