My name is Tim Felle Olsen, and I recently joined the CEEC project as a Post.Doc. researcher at the Technical University of Denmark. I have a background in computational mathematics with a B.Sc. Eng. and M.Sc. Eng. in mathematical modelling and computing. I completed my Ph.D. project on the interplay between computational geometry and the synthesis of 3D models from microstructure representations. These microstructures arose from a homogenization-based topology optimization and are used as a very compact way of representing structures. This compactness allows very large-scale problems to be solved with modest computational resources without loss of fidelity.

In this project, I will be working under the supervision of Niels Aage and Casper S. Andreasen on computational design of static mixers utilizing topology optimization and Neko [https://neko.cfd/]. I’ll be working with the spectral element part of the NEKO framework of software and libraries. Spectral elements are the core mathematical concepts used to model complex systems like fluid flows.

To create computer-generated designs of static mixers, one must run full fluid simulations every time the topology changes to determine if it improves fluid mixture. This feedback between fluid simulation and updating the design requires highly specialized software. Given that Neko has proven to be incredibly effective at simulating fluid flows, I will be developing extensions to the software that enables it to utilize topology optimization while efficiently using the computational resources of an exascale system.