根据可压缩流连续方程和Navier-Stokes方程，推导出滑坡涌浪的控制方程，并建立了垂面二维滑坡涌浪数学模型。采用非规则贴体网格有限体积法和显示MacCormack法步进求解方程，并且利用新滩滑坡的相关资料进行了验证。结果表明，模型的计算值与原型观测值吻合较好。

According to continuity equation and momentum equation of compressible fluid, the study of landslide - generated waves in this paper was carried out by the derivation of the governing equations of landslide - generated waves and the establishment of numerical model of vertical two - dimensional landslide -generated waves. The numerical model was established with irregular body - fitted mesh finite volume method and explicit MacCormack predictor - corrector method for solving these equations. The study result is verified by correlative data of Xintan landslides. It indicates that the result of the numerical model is in good agreement with the measured data.