泄洪雾化水滴分档随机喷溅数学模型及其验证

Mathematical model of graded random splashing droplets in flood discharge atomization and its verification

针对挑流泄洪雾化降雨强度数值模拟中,水滴随机喷溅数学模型的求解需要生成大量水滴,导致计算效率较低的问题,基于分档滴谱、代表性油滴和颗粒微团等粒子运动优化计算方法降低计算量的思想,提出分档水滴的概念,建立了水滴分档随机喷溅数学模型,并采用一个具有解析解的案例对该模型进行了验证计算。结果表明:1万个水滴的水滴分档随机喷溅数学模型的求解精度,非常接近100万个水滴的水滴随机喷溅数学模型的求解精度;水滴分档随机喷溅数学模型相比水滴随机喷溅数学模型具有很大的计算优势。

In the numerical simulation of rainfall intensity for flood discharge atomization,mass production of water droplets needs to be generated during the solution of random droplets splashing mathematical model,which leads to the problem of low computational efficiency.Based on the academic ideas of particle motion optimization calculation methods,such as graded droplet spectrum,representative oil droplet and particle group,the concept of graded droplets was first proposed,and a graded random splashing droplets mathematical model was established.The effectiveness of the proposed model was verified by comparing with an example with an analytical solution.The comparison results show that the solution precision of the graded random droplets splashing mathematical model with 10,000 water droplets is very close to that of the random droplets splashing mathematical model with 1 million water droplets.It is shown that the graded random droplets splashing mathematical model is more advantages in calculation than the random droplets splashing mathematical model.