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随着计算机的发展和对冰情物理现象认识的加深，人们对河冰动态发展过程的数学模型不断地进行完善。近几年来，国内外许多科学工作者根据一定的假设提出了许多河冰动态过程的数学模型。现有的河冰模型包括水流模型、热力模型和冰冻模型，以及冰盖糙率和冰期河道综合糙率的各种计算方法。水力模型用于计算河道中流场和其他水力要素；热力模型用于计算水体热交换，水温变化和水内冰浓度分布；冰冻模型用于模拟冰盖的产生、发展和消融过程。
With the development of computers and the deepening understanding of the physical phenomena of ice conditions, the mathematic models of the dynamic development of river ice are constantly being perfected. In recent years, many scientists at home and abroad have put forward many mathematical models of the dynamic process of river ice based on certain assumptions. Existing river ice models include water flow models, thermal models, and frozen models, as well as various calculation methods for ice sheet roughness and ice age integrated roughness. The hydraulic model is used to calculate the flow field and other hydraulic elements in the river channel. The thermal model is used to calculate the heat exchange, the water temperature and the ice concentration distribution in the water. The ice model is used to simulate the ice cap formation, development and ablation process.