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作者:

Li, Wen-Ran (Li, Wen-Ran.) | Yang, Rong (Yang, Rong.) | Yang, Xin-Guang (Yang, Xin-Guang.)

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摘要:

In this paper, we study the weak adversarial network (WAN) (Zang et al. in J Comput Phys 411:109409, 2020) method for solving Navier-Stokes (NS) equation numerically, including both forward and inverse problems. Firstly, the NS equation is converted to the biharmonic formulation leveraging the stream function, then the biharmonic formulation equation contributes to a test function as an operator. Furthermore, the underlying NS equation is discretized by using two neural networks based on weak formulation. Finally, numerical results for some experiments are presented, this method shows advantages of stability and accuracy compared with other algorithms, especially this method is useful for problems which have no strong solutions.

关键词:

Forward problem Navier-Stokes equation Biharmonic formulation Weak adversarial network Inverse problem

作者机构:

  • [ 1 ] [Li, Wen-Ran]Beijing Univ Technol, Fac Sci, Ping Yuan 100, Beijing 100124, Peoples R China
  • [ 2 ] [Yang, Rong]Beijing Univ Technol, Fac Sci, Ping Yuan 100, Beijing 100124, Peoples R China
  • [ 3 ] [Yang, Xin-Guang]Henan Normal Univ, Dept Math & Informat Sci, Xinxiang 453007, Peoples R China

通讯作者信息:

  • [Yang, Rong]Beijing Univ Technol, Fac Sci, Ping Yuan 100, Beijing 100124, Peoples R China

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来源 :

COMPUTATIONAL & APPLIED MATHEMATICS

ISSN: 2238-3603

年份: 2024

期: 1

卷: 43

2 . 6 0 0

JCR@2022

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