Modeling Internal Wave and Energy Propagation through Stratified Fluids using a Spectrally-Based DNS

Modeling Internal Wave and Energy Propagation through Stratified Fluids using a Spectrally-Based DNS

Animation of internal wave propagation through a stratified fluid
The stratification profile and animation of the vertical velocity field for a simulation of internal waves reflecting and transmitting through a single well-mixed layer.

In the summer of 2019, I wrote a report on the research I conducted for my Master in Science at the University of Toronto, supervised by Prof. Nicolas Grisouard. I used Dedalus, a framework for solving partial differential equations in Python, to make a direct numerical simulation (DNS) of internal waves forced from the boundary and propagating through different vertical stratification profiles. I reproduced the results of a laboratory experiment by Ghaemsaidi et al. 2016 which showed transmission and reflection of internal waves from one or two well-mixed layers.

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