对溃坝问题水流间断面的高精度、高分辨率数值模拟是水动力学的重要内容。简单加权本质无振荡(WENO)限制器由“问题单元”及其相邻单元的解重构“问题单元”的解,从而抑制数值解的非物理振荡,能够很好地模拟间断问题。本文详细介绍了简单WENO限制器的基本原理和过程。将简单WENO限制器-Runge-Kutta间断Galerkin方法应用于二维浅水控制方程的求解中,对二维矩形明渠中大坝瞬间全溃、局部溃塌所致的水流运动进行了数值模拟,并将数值计算结果与理论分析进行了比较。计算结果表明,方法能够清晰地捕捉到溃坝全过程中的间断,没有非物理的振荡现象发生,简单WENO限制器-RKDG方法能够很好地模拟溃坝波的演进过程。 The high-precision and high-resolution numerical simulation of flow cross-section of dam-break is an important part of hydrodynamics. The simple weighted natural oscillation free (WENO) limiter solves the problem of non-physical oscillation of the numerical solution by solving the solution to the “problem cell” of the “problem cell” and its neighbors, which can well simulate the problem of discontinuity. This article details the basic principles and process of a simple WENO limiter. The simple WENO limiter-Gungerk-Kutta discontinuity Galerkin method was applied to the solution of two-dimensional shallow water governing equations. The numerical simulation of instantaneous total collapse and local collapse of two-dimensional rectangular open channel was carried out. The numerical results and theoretical analysis are compared. The calculation results show that the method can clearly capture the break in the entire process of dam failure, and there is no non-physical oscillation phenomenon. The simple WENO-RKDG method can well simulate the dam failure wave evolution process.