Multiscale modeling framework of a constrained fluid with complex boundaries using twin neural networks

Peiyuan Gao, George Em Karniadakis, Panos Stinis
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Abstract

The properties of constrained fluids have increasingly gained relevance for applications ranging from materials to biology. In this work, we propose a multiscale model using twin neural networks to investigate the properties of a fluid constrained between solid surfaces with complex shapes. The atomic scale model and the mesoscale model are connected by the coarse-grained potential which is represented by the first neural network. Then we train the second neural network model as a surrogate to predict the velocity profile of the constrained fluid with complex boundary conditions at the mesoscale. The effect of complex boundary conditions on the fluid dynamics properties and the accuracy of the neural network model prediction are systematically investigated. We demonstrate that the neural network-enhanced multiscale framework can connect simulations at atomic scale and mesoscale and reproduce the properties of a constrained fluid at mesoscale. This work provides insight into multiscale model development with the aid of machine learning techniques and the developed model can be used for modern nanotechnology applications such as enhanced oil recovery and porous materials design.
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利用孪生神经网络构建具有复杂边界的受约束流体的多尺度建模框架
受约束流体的特性在从材料到生物等领域的应用中日益重要。在这项工作中,我们提出了一个使用双神经网络的多尺度模型,用于研究受约束流体在形状复杂的固体表面之间的性质。原子尺度模型和中尺度模型由粗粒度势能连接,粗粒度势能由第一个神经网络表示。然后,我们训练第二个神经网络模型,作为预测具有复杂边界条件的中尺度受约束流体速度曲线的代用模型。我们系统地研究了复杂边界条件对流体动力学特性和神经网络模型预测精度的影响。我们证明了神经网络增强的多尺度框架可以连接原子尺度和中尺度的模拟,并在中尺度上再现受约束流体的特性。这项工作为借助机器学习技术开发多尺度模型提供了启示,所开发的模型可用于现代纳米技术应用,如提高石油采收率和多孔材料设计。
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