Numerical analysis and computations of fluid flows: Geophysical flows and classical flows
Abstract
My thesis focuses on the computations of fluid flows using finite volume methods with and without multilevel methods. Multilevel methods use incremental unknowns, which were originally developed for the study of turbulent flows, I adapt these. There are two types of multilevel methods: the average finite volume multilevel method (AFVM) and the hierarchical finite volume multilevel method (HFVM). Then, I apply the HFVM to the two dimensional shallow water equations using the Central-Upwind Scheme (CUS). I also present a Finite Volume discretization of the two-dimensional inviscid primitive equations in a domain with topography. For these equations, I compare the so-called Upwind Scheme (US) and the Central-Upwind Scheme (CUS).
- Publication:
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Ph.D. Thesis
- Pub Date:
- 2015
- Bibcode:
- 2015PhDT........77B
- Keywords:
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- Applied mathematics