Current climate, environmental and energy policies aim at a decarbonisation of the energy sector by a transition to renewable energies on the one hand and at an increased energy efficiency on the other hand. Thereby they stimulate the interest in space-, cost-, and energy-efficient heat storage technologies. Thermochemical conversion is an attractive candidate technology for heat storage fulfilling these efficiency requirements. The design of practically any complex engineered system is accompanied by theoretical analyses based on model representations. Thus, numerical modelling is particularly important for thermochemical heat storage systems to help realise their potential and to advance the technology from the laboratory to a commercial setting. This article reviews modelling work in the context of heat storage and transformation aimed at capturing the coupled multi-physical processes that are relevant to the simulation of thermochemical heat storage in a space- and time-resolved manner. (C) 2016 Elsevier Ltd. All rights reserved,