Date of Award


Document Type


Degree Name

Master of Science (MS)


Mathematical Sciences

Committee Chair/Advisor

Dr. Qingshan Chen

Committee Member

Dr. Sibusiso Mabuza

Committee Member

Dr. Fei Xue


An energy- and enstrophy-conserving and optimally-dispersive numerical scheme for the shallow- water equations is accelerated through implementation in the GPU environment. Previous research showed the viability of the numerical scheme under standard shallow-water test cases, but was limited in applications by computation time constraints. We overcome these limitations by paral- lelizing the numerical computation in the GPU environment. We also extend the capabilities of the implementation to support not just a single shallow-water layer, but multiple. These improvements significantly expand the range of tests that can be used to exercise the model, and enable better understanding of the power of the numerical scheme at large scales.



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