Nuclear Engineering and Technology

  • 제54권11호
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  • Pages.4322-4328
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  • 2022
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  • 1738-5733(pISSN)
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  • 2234-358X(eISSN)
한국원자력학회 (Korean Nuclear Society)
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Remedy for ill-posedness and mass conservation error of 1D incompressible two-fluid model with artificial viscosities

  • Byoung Jae Kim (Department of Mechanical Engineering, Chungnam National University) ;
  • Seung Wook Lee (Thermal-Hydraluics System Safety Research Division, Korea Atomic Energy Research Institute) ;
  • Kyung Doo Kim (Thermal-Hydraluics System Safety Research Division, Korea Atomic Energy Research Institute)
  • 투고 : 2022.04.01
  • 심사 : 2022.06.22
  • 발행 : 2022.11.25
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초록

The two-fluid model is widely used to describe two-phase flows in complex systems such as nuclear reactors. Although the two-phase flow was successfully simulated, the standard two-fluid model suffers from an ill-posed nature. There are several remedies for the ill-posedness of the one-dimensional (1D) two-fluid model; among those, artificial viscosity is the focus of this study. Some previous works added artificial diffusion terms to both mass and momentum equations to render the two-fluid model well-posed and demonstrated that this method provided a numerically converging model. However, they did not consider mass conservation, which is crucial for analyzing a closed reactor system. In fact, the total mass is not conserved in the previous models. This study improves the artificial viscosity model such that the 1D incompressible two-fluid model is well-posed, and the total mass is conserved. The water faucet and Kelvin-Helmholtz instability flows were simulated to test the effect of the proposed artificial viscosity model. The results indicate that the proposed artificial viscosity model effectively remedies the ill-posedness of the two-fluid model while maintaining a negligible total mass error.

키워드

과제정보

This work was supported by the National Research Foundation of Korea grants funded by the Ministry of Science and ICT (No. NRF-2021M2D2A1A02039565). This work was supported by the Korea Institute of Energy Technology Evaluation and Planning(KETEP) grant funded by the Korea government(MOTIE) (20214000000090, Fostering human resources training in advanced hydrogen energy industry).

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