PhD Comprehensive Exam | Reyhane Fadaie, Simulating Flow Over Steep Topography using Immersed Boundary Methods

MS Teams (please email amgrad@uwaterloo.ca for the meeting link)

Candidate

Reyhane Fadaie | Applied Mathematics, University of Waterloo

Title

Simulating Flow Over Steep Topography using Immersed Boundary Methods

Abstract

We are working on the problem of flow over steep topography in the Ocean. Different approaches have been introduced to deal with this problem, such as Immersed Boundary method and terrain following coordinate and $\rho-$coordinate systems. Each of these methods has its advantages and disadvantages. We first go through each of these methods and give a thorough explanation of what each of these methods does. In our research, we are using an open source Oceanography software called  ''Oceananigans'' which is written in Julia programming language. We have decided to investigate the Immersed boundary method approach for the problem of flow over steep topography. We explain different Immersed boundary methods such as full-cell and partial-cell and the shaved-cell method. The full-cell approach had already been implemented in the software, but we had to implement the partial cell feature in the software.  We are aiming to begin developing a new feature to the software for the shaved-cell method as well.