中文摘要：

本文从Boltzmann方程出发,应用有限体积-KFVS（Kinetic Flux Vector Splitting）格式建立了基于无结构三角形网格的二维溃坝波整体数值模型,采用改进的干底Riemann解处理动边界问题。应用上述模型模拟了浙江某水库溃坝后溃坝波的传播过程,计算结果反映了溃坝波所到之处,水位暴涨、流速从零迅速达到极值的现象。结果表明,本文建立的二维溃坝波整体数值模型具有水量守恒、计算稳定,特别适用于强不规则地形下的溃坝波计算。

英文摘要：

A 2D numerical model based on Boltzmann equation and an unstructured FVM grid with a kinetic flux vector splitting（KFVS） scheme was developed to simulate dam-break flow,where the improved Riemann solution for dry bed was adopted to calculate the moving boundary.Propagation of the dam-break wave of a reservoir dam in Zhejiang province was simulated by using this model.Results show a wave front of a sudden water level rise and a rapid velocity increase from zero to its maximum.The proposed model that is numerically stable and satisfies volume conservation is particularly useful for dam-break flow on irregular topography.