“…Also, considerable model developments based on either discrete or continuum approach have been made recently. These include, for example, the continuum modeling of layered structures of ore and coke and their impacts on CZ behaviors and global BF performance [46][47][48][49][50] and three-dimensional (3D) multiphase flow and thermochemical characteristics of BF processes, [51,52] the discrete simulation of cohesive zone, [53][54][55] liquid trickling flow in the dripping zone [56][57][58] and coupled flow, heat and mass transfer, [59][60][61][62] as well as the development of large-scale simulation capability, [63,64] and multi-scale modeling strategy. [65][66][67] This paper reviews the mathematical modeling and simulation of BF processes, with special reference to the formulation, validation, and application of the recent developments.…”