Reduced Order Modeling of a MOOSE-based Advanced Manufacturing Model with Operator Learning

Mahmoud Yaseen, Dewen Yushu, Peter German, Xu Wu
8/18/2023
stat.MLcs.LG

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Abstract

Advanced Manufacturing (AM) has gained significant interest in the nuclear community for its potential application on nuclear materials. One challenge is to obtain desired material properties via controlling the manufacturing process during runtime. Intelligent AM based on deep reinforcement learning (DRL) relies on an automated process-level control mechanism to generate optimal design variables and adaptive system settings for improved end-product properties. A high-fidelity thermo-mechanical model for direct energy deposition has recently been developed within the MOOSE framework at the Idaho National Laboratory (INL). The goal of this work is to develop an accurate and fast-running reduced order model (ROM) for this MOOSE-based AM model that can be used in a DRL-based process control and optimization method. Operator learning (OL)-based methods will be employed due to their capability to learn a family of differential equations, in this work, produced by changing process variables in the Gaussian point heat source for the laser. We will develop OL-based ROM using Fourier neural operator, and perform a benchmark comparison of its performance with a conventional deep neural network-based ROM.

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@article{yaseen2023reduced,
  title  = {Reduced Order Modeling of a MOOSE-based Advanced Manufacturing Model with Operator Learning},
  author = {Mahmoud Yaseen and Dewen Yushu and Peter German and Xu Wu},
  year   = {2023},
  eprint = {2308.09691},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2308.09691v1}
}

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