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A machine learning approach for detecting shocks with high-order hydrodynamic methods

机译:一种利用高阶流体动力学方法检测冲击的机器学习方法

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Artificial neural networks (ANNs) can be trained to recognize patterns within data. In this work, we train an ANN to detect cells that have a shock, so that it can be used as a troubled cell indicator with high-order hydrodynamic methods that must either apply limiters to polynomials or activate an artificial viscosity scheme near a shock depending on the type of numerical method. The overarching goal is to enable high-order solutions on smooth flows and to reduce the accuracy towards first-order near shocks. We train an ANN on a dataset consisting of shocks and smooth field variations. The ANN returns a scalar value in the range of zero to one, where the scalar value is very close to zero in a smooth region and is very close to one at a shock. The ANN shock detector is used with a high-order residual distribution (RD) Lagrangian hydrodynamic method to simulate multidimensional shock driven flows. The details on the ANN shock detector are presented along with simulation results from test problems.
机译:可以训练人工神经网络(ANN)来识别数据中的模式。在这项工作中,我们训练了一个神经网络来检测有电击的细胞,因此它可以用作高阶流体力学方法中有问题的细胞指示器,该方法必须将限制器应用于多项式或在电击附近激活一个人工粘度方案,具体取决于关于数值方法的类型。总体目标是在平滑流动上实现高阶解,并降低对一阶近震的精确度。我们在包含冲击和平滑场变化的数据集上训练ANN。 ANN返回的标量值在0到1的范围内,其中标量值在平滑区域中非常接近于零,而在冲击时非常接近于1。 ANN冲击检测器与高阶残差分布(RD)拉格朗日流体力学方法一起使用,以模拟多维冲击驱动的流动。介绍了ANN震动检测器的详细信息以及测试问题的仿真结果。

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