The fuel atomisation process affects nearly all aspects of gas turbine combustion system performance, and high-fidelity simulations are a valuable tool to compliment experimental results. Previous work as part of this CDT has developed a computational method for simulations of fuel atomisation, based on the Coupled Level Set Volume of Fluid multiphase method together with Adaptive Mesh Refinement. Currently, these simulations are incompressible and isothermal which means that the processes of atomisation and evaporation, which in reality occur simultaneously, cannot be simulated at the same time. At temperatures representative of a real combustion system, the evaporation of fuel is a significant and important process - all fuel should be in vapour form before it is combusted - and so enabling evaporation in the existing method will allow significant new physics to be investigated. This project will begin by investigating the evaporation of single droplets using interface resolving methods, in which the shape of the droplet is resolved by the computational mesh, and consider improvements that can be made with better determination of the interface location. The ultimate objective is to produce simulations of simultaneous atomisation and evaporation of liquid fuel.