论文标题
使用保护法来推断Richtmyer-Meshkov不稳定性的深度学习模型准确性
Using Conservation Laws to Infer Deep Learning Model Accuracy of Richtmyer-meshkov Instabilities
论文作者
论文摘要
Richtmyer-Meshkov不稳定(RMI)是一种复杂的现象,当冲击波通过扰动界面时发生。进行了超过一千多个流体动力模拟,以研究RMI的形成,以产生参数化的高速影响。深度学习用于学习将初始几何扰动与密度和速度的全场水动力解的时间映射。连续性方程式用于将物理信息包括在损失函数中,但是只能以额外的训练复杂性为代价导致非常小的改进。来自深度学习模型的预测似乎可以准确捕获域内各种几何条件的时间RMI地层。研究了第一项原理定律,以推断模型的预测能力的准确性。尽管连续性方程似乎与模型的准确性没有相关性,但质量和动量的保护与准确性无关。由于可以从深度学习模型中快速计算保护定律,因此它们在需要相对精确度措施的应用中可能很有用。
Richtmyer-Meshkov Instability (RMI) is a complicated phenomenon that occurs when a shockwave passes through a perturbed interface. Over a thousand hydrodynamic simulations were performed to study the formation of RMI for a parameterized high velocity impact. Deep learning was used to learn the temporal mapping of initial geometric perturbations to the full-field hydrodynamic solutions of density and velocity. The continuity equation was used to include physical information into the loss function, however only resulted in very minor improvements at the cost of additional training complexity. Predictions from the deep learning model appear to accurately capture temporal RMI formations for a variety of geometric conditions within the domain. First principle physical laws were investigated to infer the accuracy of the model's predictive capability. While the continuity equation appeared to show no correlation with the accuracy of the model, conservation of mass and momentum were weakly correlated with accuracy. Since conservation laws can be quickly calculated from the deep learning model, they may be useful in applications where a relative accuracy measure is needed.