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Simulation of liquid flow with a combination artificial intelligence flow field and Adams–Bashforth method

  • Babanezhad, Meisam1, 1
  • Behroyan, Iman2
  • Nakhjiri, Ali Taghvaie3
  • Marjani, Azam4, 4
  • Shirazian, Saeed5, 6
  • 1 Duy Tan University, Da Nang, 550000, Vietnam , Da Nang (Vietnam)
  • 2 Shahid Beheshti University, Tehran, Iran , Tehran (Iran)
  • 3 Islamic Azad University, Tehran, Iran , Tehran (Iran)
  • 4 Ton Duc Thang University, Ho Chi Minh City, Vietnam , Ho Chi Minh City (Vietnam)
  • 5 South Ural State University, 76 Lenin prospekt, 454080 Chelyabinsk, Russia , 76 Lenin prospekt, 454080 Chelyabinsk (Russia)
  • 6 Bernal Institute, University of Limerick, Limerick, Ireland , Limerick (Ireland)
Published Article
Scientific Reports
Springer Nature
Publication Date
Oct 07, 2020
DOI: 10.1038/s41598-020-72602-6
Springer Nature


Direct numerical simulation (DNS) of particle hydrodynamics in the multiphase industrial process enables us to fully learn the process and optimize it on the industrial scale. However, using high-resolution computational calculations for particle movement and the interaction between the solid phase and other phases in fine timestep is limited to excellent computational resources. Solving the Eulerian flow field as a source of solid particle movement can be very time-consuming. However, by the revolution of the fast and accurate learning process, the Eulerian domain can be computed by smart modeling in a very short computational time. In this work, using the machine learning method, the flow field in the square shape cavity is trained, and then the Eulerian framework is replaced with a machine learning method to generate the artificial intelligence (AI) flow field. Then the Lagrangian framework is coupled with this AI flow field, and we simulate particle motion through the fully AI framework. The Adams–Bashforth finite element method is used as a conventional CFD method (Eulerian framework) to simulate the flow field in the cavity. After simulating fluid flow, the ANFIS method is used as an AI model to train the Eulerian data-set and represents AI fluid flow (framework). The Lagrangian framework is coupled with the AI method, and the particle freely migrates through this artificial framework. The results reveal that there is a great agreement between Euler-Lagrangian and AI- Lagrangian in the cavity. We also found that there is an excellent agreement between AI overview with the Adams–Bashforth approach, and the new combination of machine learning and CFD method can accelerate the calculation of the flow field in the square-shaped cavity. AI model can mimic the vortex structure in the cavity, where there is a zero-velocity structure in the center of the domain and maximum velocity near the moving walls.

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