arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1607.03597cs.CV
收藏

用卷积网络加速欧拉流体模拟

Accelerating Eulerian Fluid Simulation With Convolutional Networks

Google Brain(谷歌大脑);New York University(纽约大学);Google Deepmind(谷歌DeepMind)

Jonathan Tompson, Kristofer Schlachter, Pablo Sprechmann, Ken Perlin

摘要:

流体流动的Navier-Stokes方程的有效模拟是应用数学中的一个长期存在的问题,其最先进的方法需要大量的计算资源。在这项工作中,我们提出了一种数据驱动的方法,利用深度学习的近似能力和标准求解器的精度来获得快速和高度逼真的模拟。我们的方法使用标准的算子分裂方法求解不可压缩欧拉方程,其中必须求解具有许多自由参数的大型稀疏线性系统。我们使用具有高度定制架构的卷积网络,使用新颖的无监督学习框架进行训练来解决线性系统。我们提出了实时的2D和3D模拟,优于最近提出的数据驱动的方法,得到的结果是现实的,并表现出良好的泛化性能。

英文摘要:

Efficient simulation of the Navier-Stokes equations for fluid flow is a long standing problem in applied mathematics, for which state-of-the-art methods require large compute resources. In this work, we propose a data-driven approach that leverages the approximation power of deep-learning with the precision of standard solvers to obtain fast and highly realistic simulations. Our method solves the incompressible Euler equations using the standard operator splitting method, in which a large sparse linear system with many free parameters must be solved. We use a Convolutional Network with a highly tailored architecture, trained using a novel unsupervised learning framework to solve the linear system. We present real-time 2D and 3D simulations that outperform recently proposed data-driven methods; the obtained results are realistic and show good generalization properties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑