用视觉变压器预测液滴撞击动态,节省90%计算成本。
Prediction of Viscoelastic Droplet Impact Dynamics Using a Vision Transformer-Based Approach

- 用视频视觉变压器分析液滴初始阶段,预测后续演化。
- 仅用前10%-20%数据,计算成本降低80%-90%。
- 适用于喷雾冷却、喷墨打印等工业场景。
液滴撞击固体表面是复杂的流体动力学问题,广泛应用于喷雾冷却、喷墨打印和制药工艺。尽管数值模拟被广泛用于研究此类动态,但在考虑多种参数变化时,其计算成本显著增加。本文研究了基于视频视觉变压器(ViViT)的框架,利用体积力法(VOF)获得的体积分数场,预测粘弹性液滴撞击固体表面的时序演化。在牛顿流体中,影响因素主要为雷诺数 $Re$(惯性与黏性力之比)和韦伯数 $We$(惯性与表面张力之比);对于粘弹性流体,还需引入溶剂黏度比 $β$ 与魏森贝格数 $Wi$,进一步提升模拟复杂度与成本。本方法仅需输入模拟前10%至20%的数据,即可预测剩余演化过程,相比完整数值模拟,计算成本降低约80%至90%。ViViT在不同参数和预测时长下均生成物理一致的结果,成功捕捉铺展与反弹两种状态,并保持几何特征与结构相似性。由于体积分数场也可从实验视频中提取,该框架未来可结合实验数据训练,提升预测动态的物理保真度。
原文摘要 · Abstract (English)
Droplet impact on solid surfaces is a complex fluid dynamics problem with applications in spray cooling, inkjet printing, and pharmaceutical processing. Although numerical simulations are widely used to investigate these dynamics, their computational cost becomes significant when multiple parametric variations are considered. In this work, we investigate the use of a Video Vision Transformer (ViViT) architecture to predict the temporal evolution of viscoelastic droplets impacting solid surfaces using volume fraction fields obtained from the Volume of Fluid (VOF) method. In Newtonian fluids, impact dynamics are mainly characterized by the Reynolds number $Re$, representing the ratio of inertial to viscous forces, and the Weber number $We$, representing the ratio of inertial to surface tension forces. For viscoelastic fluids, additional parameters are required to account for elastic effects, namely the solvent viscosity ratio $β$ and the Weissenberg number $Wi$, increasing simulation complexity and cost. Instead of simulating the entire droplet dynamics, the proposed approach uses only the initial 10% to 20% of the simulation to predict the remaining evolution. Depending on the prediction configuration, this strategy reduces computational cost by approximately 80% to 90% compared to full numerical simulations. The ViViT produces physically consistent predictions across different parameters and prediction horizons, successfully capturing both spreading and bouncing regimes while preserving geometric features and structural similarity. Since volume fraction fields can also be extracted from experimental videos, the proposed framework could be extended to incorporate experimental data during training, potentially improving the physical fidelity of the predicted dynamics.
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