Random splashing model of water droplets based on high-dimensional numerical integration and GPU parallel computing

Abstract

[Objective] Flood discharge atomization has become a critical issue in the safety protection of high dam flood discharge. The aims are to address the issues of low computational accuracy and high computational load in traditional random splashing models of water droplets, as well as the limitations of the graded random splashing model of water droplets and the number theory graded random splashing model of water droplets in engineering practices. [Methods] A novel random splashing model of water droplets was established based on the theory of high-dimensional numerical integration using good point sets, combined with GPU parallel computing technology. The model was verified through numerical experiments. [Results] The result showed that under the same conditions and with the same number of water droplets, the numerical solution of the proposed model exhibited smaller total absolute errors than those of traditional models. As the number of water droplets increased, the reduction in total absolute errors became generally more pronounced. When the number of water droplets exceeded 2 million, the reduction stabilized at approximately 50%. With the aid of GPU parallel computing technology, the computational efficiency of the model was significantly enhanced, achieving an acceleration ratio of about 100 times. Especially when processing larger-scale data, the computational time of the model was significantly reduced, further highlighting its advantage in computational performance. [Conclusion] The findings indicate that the proposed model can effectively handle computational cases with four-dimensional random variables as initial conditions. It significantly improves computational accuracy and efficiency compared to traditional random splashing models of water droplets, making it suitable for practical applications in large-scale simulations of random splashing of water droplets.

Keywords

flood discharge atomization / random splashing model of water droplets / high-dimensional numerical integration / quasi-Monte Carlo / good point set / GPU parallel computing / computational performance