Introduction
I am a joint student between the School of Mathematics and Statistics (SoMaS) and the Department of Mechanical engineering and I am researching into Turbulence. Previously, I did my undergraduate degree in Aerospace Engineering also at the University of Sheffield, obtaining a 2:1.
At the moment, I have two projects ongoing. My first project is using deep learning to predict the turbulent fluid flow through an array of obstacles. I am using Python to create a convolutional encoder-decoder model using Tensorflow to analyse the geometry and predict the turbulent fluid flow.
My second project is focused on simulating and analysing the fluid flow through fractal obstacles such as the Sierpinski carpet as shown above. I am interested in this because the Sierpinski carpet exhibits the property of self-similarity. This property can be explained visually, so if we examine the object we can see that small details emerge from geometry, and the further in we examine, the more detail emerges. In real life, if we look at a city from space we can see a cluster of buildings arranged in a fractal-like manner, and the closer we go in, the more detail that emerges such as individual buildings or trees. I am interested in analysing the fluid flow through arrays of obstacles because it has many real-life applications, such as understanding how pollution propagates through cities or designing how we can best protect our coastlines from erosion.