Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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Numerical simulation on LMR molten-core centralized sloshing benchmark experiment using multi-phase smoothed particle hydrodynamics

  • Jo, Young Beom (Department of Nuclear Engineering, Seoul National University) ;
  • Park, So-Hyun (Department of Nuclear Engineering, Seoul National University) ;
  • Park, Juryong (Department of Nuclear Engineering, Seoul National University) ;
  • Kim, Eung Soo (Department of Nuclear Engineering, Seoul National University)
  • Received : 2020.02.10
  • Accepted : 2020.07.28
  • Published : 2021.03.25
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Abstract

The Smoothed Particle Hydrodynamics is one of the most widely used mesh-free numerical method for thermo-fluid dynamics. Due to its Lagrangian nature and simplicity, it is recently gaining popularity in simulating complex physics with large deformations. In this study, the 3D single/two-phase numerical simulations are performed on the Liquid Metal Reactor (LMR) centralized sloshing benchmark experiment using the SPH parallelized using a GPU. In order to capture multi-phase flows with a large density ratio more effectively, the original SPH density and continuity equations are re-formulated in terms of the normalized-density. Based upon this approach, maximum sloshing height and arrival time in various experimental cases are calculated by using both single-phase and multi-phase SPH framework and the results are compared with the benchmark results. Overall, the results of SPH simulations show excellent agreement with all the benchmark experiments both in qualitative and quantitative manners. According to the sensitivity study of the particle-size, the prediction accuracy is gradually increasing with decreasing the particle-size leading to a higher resolution. In addition, it is found that the multi-phase SPH model considering both liquid and air provides a better prediction on the experimental results and the reality.

Keywords

Acknowledgement

This research was supported by Nuclear Energy Technology Development Program (U.S.-ROK I-NERI Program) through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (2019M2A8A1000630) and the Nuclear Safety Research Program through the Korea Foundation Of Nuclear Safety (KoFONS) using the financial resource granted by the Nuclear Safety and Security Commission (NSSC) of the Republic of Korea. (No. 1903003).

References

  1. T. Suzuki, K. Kamiyama, H. Yamano, S. Kubo, Y. Tobita, R. Nakai, K. Koyama, A scenario of core disruptive accident for Japan sodium-cooled fast reactor to achieve in-vessel retention, J. Nucl. Sci. Technol. 51 (4) (2014) 493-513. https://doi.org/10.1080/00223131.2013.877405
  2. W. Maschek, R. Li, C.M. Boccaccini, F. Gabrielli, K. Morita, Investigation on upper bounds of recriticality energetics of hypothetical core disruptive accidents in sodium cooled fast reactors, Nucl. Eng. Des. 326 (2018) 392-402. https://doi.org/10.1016/j.nucengdes.2017.11.002
  3. W. Maschek, C.D. Munz, L. Meyer, Investigations of sloshing fluid motions in pools related to recriticalities in liquid-metal fast breeder reactor core meltdown accidents, Nucl. Technol. 98 (1) (1992) 27-43. https://doi.org/10.13182/NT92-A34648
  4. W. Maschek, A. Roth, M. Kirstahler, L. Meyer, Simulation experiments for centralized liquid sloshing motions, Kernforsch. Karlsr. (KfK) (1992).
  5. S. Cheng, S. Li, K. Li, N. Zhang, T. Zhang, A two-dimensional experimental investigation on the sloshing behavior in a water pool, Ann. Nucl. Energy 114 (2018) 66-73. https://doi.org/10.1016/j.anucene.2017.12.026
  6. S. Cheng, S. Li, K. Li, T. Zhang, An experimental study on pool sloshing behavior with solid particles, Nucl. Eng. Technol. 51 (1) (2019) 73-83. https://doi.org/10.1016/j.net.2018.09.016
  7. S.L. Pigny, Academic validation of multi-phase flow codes, Nucl. Eng. Des. 240 (11) (2010) 3819-3829. https://doi.org/10.1016/j.nucengdes.2010.08.007
  8. A. Vorobyev, A Smoothed Particle Hydrodynamics Method for the Simulation of Centralized Sloshing Experiments, KIT Scientific Publishing, 2012.
  9. S.K. Buruchenko, A.J. Crespo, Validation DualSPHysics code for liquid sloshing phenomena, in: International Conference on Nuclear Engineering, vol. 45943, American Society of Mechanical Engineers, 2014, July. V004T10A041.
  10. R.A. Gingold, J.J. Monaghan, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Mon. Not. Roy. Astron. Soc. 181 (3) (1977) 375-389. https://doi.org/10.1093/mnras/181.3.375
  11. N. Grenier, M. Antuono, A. Colagrossi, D. Le Touze, B. Alessandrini, An Hamiltonian interface SPH formulation for multi-fluid and free surface flows, J. Comput. Phys. 228 (22) (2009) 8380-8393. https://doi.org/10.1016/j.jcp.2009.08.009
  12. K. Szewc, J. Pozorski, J.P. Minier, Simulations of single bubbles rising through viscous liquids using smoothed particle hydrodynamics, Int. J. Multiphas. Flow 50 (2013) 98-105. https://doi.org/10.1016/j.ijmultiphaseflow.2012.11.004
  13. J.U. Brackbill, D.B. Kothe, C. Zemach, A continuum method for modeling surface tension, J. Comput. Phys. 100 (2) (1992) 335-354. https://doi.org/10.1016/0021-9991(92)90240-Y
  14. S. Adami, X.Y. Hu, N.A. Adams, A new surface-tension formulation for multiphase SPH using a reproducing divergence approximation, J. Comput. Phys. 229 (13) (2010) 5011-5021. https://doi.org/10.1016/j.jcp.2010.03.022
  15. J.P. Morris, Simulating surface tension with smoothed particle hydrodynamics, Int. J. Numer. Methods Fluid. 33 (3) (2000) 333-353. https://doi.org/10.1002/1097-0363(20000615)33:3<333::AID-FLD11>3.0.CO;2-7
  16. M. Gomez-Gesteira, B.D. Rogers, A.J. Crespo, R.A. Dalrymple, M. Narayanaswamy, J.M. Dominguez, SPHysics-development of a free-surface fluid solver-Part 1: theory and formulations, Comput. Geosci. 48 (2012) 289-299. https://doi.org/10.1016/j.cageo.2012.02.029
  17. K. Hegeman, N.A. Carr, G.S. Miller, May). Particle-based fluid simulation on the GPU, in: International Conference on Computational Science, Springer, Berlin, Heidelberg, 2006, pp. 228-235.
  18. P.J. Roache, Verification and Validation in Computational Science and Engineering, vol. 895, Hermosa, Albuquerque, NM, 1998.