中文摘要：

针对煤矿巷道中存在瓦斯浓度梯度的问题,基于时间上的TVD Runge-Kutta格式,空间上的5阶加权本质无振荡（WENO）格式离散控制方程组,自主研发了高精度大规模的并行计算程序.利用该程序模拟了煤矿巷道中的爆轰波的传播过程.研究结果得出了纵向和横向浓度梯度对瓦斯爆炸的影响规律,模拟结果与理论分析结果基本吻合.

英文摘要：

According to time-based TVD Runge-Kutta scheme and discretizing governing equations with 5-th order WENO scheme,a high resolution and large scale parallel code was independently developed. With this code, numerical simulation was performed for the propagation characteristics of methane detonation wave in the pipe with concentration gradient.The numerical results show the influence of vertical and horizontal concentration gradient on methane explosion.The numerical simulation results agree well with the theoretical analysis.