TVD方法在瓦斯爆炸可压缩流场中的应用

通过建立瓦斯爆炸可压缩流场的数学模型,运用TVD(total variation diminishing)格式的有限差分方法,模拟了瓦斯爆炸冲击波峰值超压沿井巷的衰减规律,说明了瓦斯爆炸过程存在冲击波二次反冲过程.对瓦斯爆炸二次反冲形成的机理进行了分析.其结果为实际防爆工程设计提供了理论基础和依据.

Application of TVD method to the compressible flow field of gas explosion

A mathematical model of the compressible flow field of gas explosion is established. Applying the modified TVD (total variation diminishing) scheme of finite difference, simulation is conducted of the attenuation law of peak waves along underground workings. From the result, gas explosion and especially return shock in mine can be understood clearly. The shock is formed at the source of gas explosion, the value of peak shock decreases with time and the distance, then return shock produces at the negative pressure area. The strength of return shock is larger than normal pressure. Finally it approaches the normal pressure of the air. The attenuation rate of peak shock also has the law that it decreases along the workings. Theoratic analysis of the return shock of gas explosion along the underground workings is also conducted. Because the destruction of mine vehicles due to return shock is on the foundation of the first shock, the design of mine ventilation system should notice that point and take some measures to prevent the further loss.