空泡在水射流中初生和溃灭的数值计算

Simulation of Bubble Growth and Collapse in a Water Jet Flow

空化水射流是一种能量集中、适用性广的地下工程开采新技术,特别是在淹没条件下对石油钻井、煤矿开采致裂等具有潜在的优势。作者基于空泡云的实验数据,通过有限差分法求解Rayleigh-Plesset偏微分方程,对比了恒定步长与变步长的计算方法,得出当压力函数变化范围较大时,采用恒定步长难以使计算结果收敛,而采用变步长的算法,不仅能成功模拟空泡初生和溃灭的循环过程,还缩短了时间步长,优势是显而易见的。

Cavitating water jet is a new technology of underground project exploitation featured with energy concentration and wide application,especially in submerged conditions,which enjoys potential superiority in Petroleum drilling and Mine cracking.Based on the data collected from the cavitations cell experiments,the Rayleigh - Plesset differential equation was solved via the finite difference method.The comparison between constant time step and variable time step shows that the calculation result is not convergent by constant time step when pressure variations is larger. Application of variable time step can successfully simulate the circulation process of the growth and collapse of bubbles and shorten the time steps.The superiority of such application is significant.