自20世纪50年代末，长江科学院开始研发河流水沙数学模型，至今已有60多年不间断研发与应用历史，形成了“河流（HELIU）”系列软件。综述了长江科学院水库泥沙、河流一维、二维、（准）三维等水沙模型及其它水沙数学模型实例（包括河流水沙估算模型、河流水沙专题数模研究、引进吸收的河流水沙数学模型），以及水沙数值模拟关键技术的研究进展。分析展望了河流水沙数学模型今后研发工作的 4 方面任务：构建模型体系、完善现有模型、拓展模型领域和研究关键技术。

Researches on mathematical models of river flow and sediment transport by Changjiang/Yangtze River Scientific Research Institute (CRSRI) can be traced back to the 1950s, with a series of computer software of “ Heliu ” (or “ River ” ) been developed over the last 6 decades of development and application. This paper makes a review on key mathematical models at CRSRI, which comprises the reservoir sedimentation model, river 1-D, 2-D and 3-D models, and other mathematical models and application practices, inclusive of estimating models, special models and imported models. Core technologies of numerical simulation of river flow and sediment transport are also presented. To establish a system for the models, improve the existing models, expand the modeling disciplines and applications, and make breakthroughs in modeling techniques are major tasks for the model development. The paper can be regarded as a guideline for the development of the models in CRSRI.