Energy-Conservative Data-Driven Modelling for the two-scale Navier-Stokes Equations

This thesis presents an energy-conservative data-driven approach in modelling the closure terms of the Navier-Stokes equations casted through the Variational Multiscale (VMS) framework. For context, the VMS framework is applied in designing stabilised finite element methods for multiscale phenomena in which stability is not guaranteed. Under...

Optimal Team Time Trial Strategy in Road Cycling: Optimisation of Changing Strategy using a Mathematical Performance model

During team time trials in road cycling changing schemes are used to spread the workload over the cyclists in the team. Models that provide predictions of race performance already exist for individual time trials. It is proposed that with a performance model for team time trials, the performance of different strategies can be compared and...