The rapidly advancing field of Fluid Mechanics has recently employed Deep Learning to solve various problems within that field. In that same spirit we try to perform Direct Numerical Simulation(DNS) which is one of the tasks in Computational Fluid Dynamics, using three fundamental architectures in the field of Deep Learning that were each used to solve various high dimensional problems. We train these three models in an autoencoder manner, for this the dataset is treated like sequential frames given to the model as input. We observe that recently introduced architecture called Transformer significantly outperforms its counterparts on the selected dataset.Furthermore, we conclude that using Transformers for doing DNS in the field of CFD is an interesting research area worth exploring.
翻译:快速发展的流体机械学领域最近利用深学习来解决该领域的各种问题。 本着同样的精神,我们试图执行直接数字模拟(DNS),这是计算流体动态(DNS)的任务之一,在深学习领域使用三个基本结构,每个基本结构都用来解决各种高维问题。 我们用自动编码器的方式培训这三种模型,因为这个数据集被当作一个序列框架作为模型的输入处理。我们观察到,最近引进的称为变异器的架构大大优于选定数据集中的对应结构。 此外,我们的结论是,使用变异器在CFD领域进行DNS是一个值得探索的有趣研究领域。