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近年来，一阶有限体积法Ｏｓｈｅｒ格式已在二维浅水明流的一批模型问题和应用实例中获得成功。本文首次讨论其算法实现的种种问题。核心是建立单元水力模型—阶梯流，在数学上可用一类特殊的黎曼问题来描述。将该问题化作气体动力学中的黎曼问题近似求解，然后对结果加以校正。还在理论分析和数值试验的基础上详细讨论了各种外部边界条件、内部边界和动边界的处理，构成完整的算法。
In recent years, the first-order Finite Volume Osher scheme has been successfully applied to a series of model problems and application cases of two-dimensional shallow water flow. This article for the first time discusses the algorithm to achieve a variety of issues. The core is to establish a unit hydraulic model - the ladder flow, which can be mathematically described by a special kind of Riemann problem. The problem is approximately solved for the Riemann problem in gas dynamics, and the result is then corrected. On the basis of theoretical analysis and numerical experiments, various kinds of external boundary conditions, internal and dynamic boundary conditions are discussed in detail to form a complete algorithm.