Solar chimneys for power generation are a simple renewable energy technology. Computational methods allow a convenient yet effective way of studying various aspects of this promising green technology for clean and sustainable power generation. The large scale of an effective working Solar Chimney Power Plant (SCPP) has encouraged many researchers to conduct investigations using computational simulation methods. In this article, a comparative review is presented, discussing important computational work that has been carried out on the solar chimney for power generation that pioneered this research area and notable works in the past decade. The review is divided into several parts, including simulations of the overall SCPP system, individual components like the solar collector, and multipurpose SCPPs. Detailed comparisons of the simulation model development approach may be found in this review. The information presented here is a good reference point for existing and new researchers to work on improving the overall SCPP performance via computational simulations. © 2023 Nova Science Publishers, Inc. All rights reserved.