Reduced Order Framework for 2D Heat Transfer Simulation Under Variations of Boundary Conditions Based on Deep Learning Algorithm

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه قم، شهر قم ، ایران

2 بخش مهندسی مکانیک، دانشکده مهندسی دانشگاه قم

3 دانشگاه قم

چکیده

Due to the high time and computational cost of the direct or numerical solution methods of the partial differential equations governing phenomena, methods based on deep learning algorithms are commonly used in modeling phenomena. In this research, to simulate temperature changes in a two-dimensional field, three different methods based on deep learning algorithms have been used, including a model based on convolutional neural networks, model based on convolutional kernel containing the desired phenomenon pattern and a reduced-dimension Model using autoencoder method. The results of two-dimensional equilibrium temperature distribution simulations using the three methods were compared with the results obtained from the finite difference method. The results showed that the Reduced-Dimension Model (with an accuracy of 2.528×10-6 °C) has higher accuracy compared to the other two models. While the kernel-based model, is superior to the other two models in terms of steady-state temperature data consumption (only 400 data of size 8 × 8).

کلیدواژه‌ها


عنوان مقاله [English]

Reduced Order Framework for 2D Heat Transfer Simulation Under Variations of Boundary Conditions Based on Deep Learning Algorithm

نویسندگان [English]

  • somayeh afzali 1
  • Mohammad Kazem Moayyedi 2
  • Faranak Fotouhi 3
1 university of qom, qom, iran
2 Department of Mechanical Engineering, University of Qom
3 University of Qom
چکیده [English]

Due to the high time and computational cost of the direct or numerical solution methods of the partial differential equations governing phenomena, methods based on deep learning algorithms are commonly used in modeling phenomena. In this research, to simulate temperature changes in a two-dimensional field, three different methods based on deep learning algorithms have been used, including a model based on convolutional neural networks, model based on convolutional kernel containing the desired phenomenon pattern and a reduced-dimension Model using autoencoder method. The results of two-dimensional equilibrium temperature distribution simulations using the three methods were compared with the results obtained from the finite difference method. The results showed that the Reduced-Dimension Model (with an accuracy of 2.528×10-6 °C) has higher accuracy compared to the other two models. While the kernel-based model, is superior to the other two models in terms of steady-state temperature data consumption (only 400 data of size 8 × 8).

کلیدواژه‌ها [English]

  • Steady-state heat transfer modeling
  • Convolutional Neural Networks
  • Autoencoder
  • Dimensionality Reduction
  • Mean squared error

مقالات آماده انتشار، پذیرفته شده
انتشار آنلاین از تاریخ 17 شهریور 1401
  • تاریخ دریافت: 06 فروردین 1401
  • تاریخ بازنگری: 13 مرداد 1401
  • تاریخ پذیرش: 17 شهریور 1401