arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2003.07550physics.comp-phphysics.plasm-ph
收藏

热等离子体模拟的深度学习:以求解一维电弧模型为例

Deep learning for thermal plasma simulation: solving 1-D arc model as an example

Linlin Zhong, Qi Gu, Bingyu Wu

摘要:

数值模拟是理解热等离子体在各种工业应用中的行为的基本方法。我们提出了一种深度学习方法来求解热等离子体模型中的偏微分方程。在该方法中,构造了一个深度前馈神经网络来代替模型的解。设计了一个损失函数来衡量神经网络和描述热等离子体的方程之间的差异。一个好的神经网络是通过最小化这个损失函数得到的。我们通过求解一维电弧衰减模型来展示这种深度学习方法的强大功能,该模型由三种情况组成:静止电弧,不考虑径向速度的瞬态电弧,以及分别具有径向速度的瞬态电弧。结果表明,深度神经网络具有良好的表达热等离子体微分方程的能力。这将为热等离子体模拟提供一种新的、有前景的数值工具。

英文摘要:

Numerical modelling is an essential approach to understanding the behavior of thermal plasmas in various industrial applications. We propose a deep learning method for solving the partial differential equations in thermal plasma models. In this method a deep feed-forward neural network is constructed to surrogate the solution of the model. A loss function is designed to measure the discrepancy between the neural network and the equations describing thermal plasmas. A good neural network is obtained by minimizing this loss function. We demonstrate the power of this deep learning method by solving a 1-D arc decaying model which is consist of three cases: stationary arc, transient arc without considering radial velocity, and transient arc with radial velocity respectively. The results show that the deep neural networks have excellent ability to express the differential equations describing thermal plasmas. This could bring us a new and prospective numerical tool for thermal plasma modelling.

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。

↑