Carbon capture technologies are considered essential for addressing global warming issues. To date, various capture technologies have been extensively investigated in the literature, both through experimental studies and simulations. This paper aims to briefly review the most recent advancements in the modeling of various CO2 capture processes. The progress in technologies, including chemical absorption, physical absorption, adsorption, membrane-based separation and chemical looping processes, is discussed. Existing evaluation results obtained from various simulation studies are summarized and compared. In addition to the advancements in each technology, the future research trends and the challenges that need to be addressed in the field of process modeling are identified.