论文标题
潜在空间细分:流体流量稳定且可控的时间预测
Latent Space Subdivision: Stable and Controllable Time Predictions for Fluid Flow
论文作者
论文摘要
我们提出了一个端到端训练的神经网络结构,以鲁棒地预测具有较高时间稳定性的流体流动动力学。我们根据不可压缩的Navier-Stokes(NS)方程式专注于2D和3D中的单相烟雾模拟,这与广泛的实际问题有关。为了实现长期流动序列的稳定预测,卷积神经网络(CNN)经过训练,以与由堆叠的长期短期记忆(LSTM)层组成的时间预测网络结合使用空间压缩。我们的核心贡献是一种新型的潜在空间细分(LSS),可以将各自的输入量分离为编码潜在空间域的各个部分。这允许独特地更改编码的数量,而不会干扰其余的潜在空间值,从而最大程度地提高外部控制。通过选择性地覆盖预测的潜在空间点的部分,我们提出的方法能够坚固地预测复杂物理问题的长期序列。此外,我们强调了由空间压缩网络执行的潜在空间创建的经常性培训的好处。
We propose an end-to-end trained neural networkarchitecture to robustly predict the complex dynamics of fluid flows with high temporal stability. We focus on single-phase smoke simulations in 2D and 3D based on the incompressible Navier-Stokes (NS) equations, which are relevant for a wide range of practical problems. To achieve stable predictions for long-term flow sequences, a convolutional neural network (CNN) is trained for spatial compression in combination with a temporal prediction network that consists of stacked Long Short-Term Memory (LSTM) layers. Our core contribution is a novel latent space subdivision (LSS) to separate the respective input quantities into individual parts of the encoded latent space domain. This allows to distinctively alter the encoded quantities without interfering with the remaining latent space values and hence maximizes external control. By selectively overwriting parts of the predicted latent space points, our proposed method is capable to robustly predict long-term sequences of complex physics problems. In addition, we highlight the benefits of a recurrent training on the latent space creation, which is performed by the spatial compression network.