Artificial ground freezing is a safe, proven and reliable method for various construction projects in water-bearing, unstable soils and rock, from special civil engineering (e.g. for excavations), to tunnel construction and mine shafts. Essential for the design and control of the freezing process are the thermal calculations. Historically, these have been performed by using analytical methods. However, the project-specific geometrical and geological conditions and the construction sequence have a significant influence on the design, which is difficult to consider using analytical and empirical methods only. A partial solution to more complex design challenges is currently the use of numerical models. An important advantage of numerical modelling, among others, is the use of 3D models, which becomes practically necessary in many present challenges of engineering and allows a suitable representation of the geological structure. Numerical models also make possible the proper combined simulation of the excavation sequence, the ground support and the coupling thermo-hydro-geomechanical approach.It must be stated, however, that the results of numerical calculations are known to be meshdependent, which means that for too "coarse" meshes a correct interpretation of the analysed physical phenomena is not possible. Unfortunately, there are also other factors which significantly influence the accuracy of numerical calculations.The research work of Diego Sancho Calderón starts at this point, reviewing the analytical and numerical approaches. He selected different freezing problems, which he investigated and analysed. Based on the performed verification, he was able to define the limitations and applicability of both analytical and numerical methods. In my opinion, the presented results are a step forward in the scientific research of artificial ground freezing. Furthermore, the presented adjustment of the Sanger & Sayles formula and the code of good practice for thermal numerical modelling are of great practical importance for construction projects using the artificial ground freezing technique.It was a great pleasure for me to assist and support Diego in his work and I would like to thank him for the opportunity to be a part of this very important research.