Acknowledgement
The SPH code and the 1-D system code coupling was supported by Professor Hyung Gyu Cho at Seoul National University. This work was supported by 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. 2103079)
References
- A. Shams, et al., Status of computational fluid dynamics for in-vessel retention: challenges and achievements, Ann. Nucl. Energy 135 (2020) 107004.
- W. Ma, Y. Yuan, B.R. Sehgal, In-vessel melt retention of pressurized water reactors: historical review and future research needs, Engineering 2 (1) (2016) 103-111.
- S.-H. Park, Development of Lagrangian particle-based methodology for in-vessel retention and external reactor vessel cooling application, in: Department of Nuclear Engineering, Seoul National University, 2021.
- B. Sehgal, et al., Final Report for the'Melt-Vessel Interactions' Project. European Union R and TD Program 4th Framework. MVI Project Final Research Report, Swedish Nuclear Power Inspectorate, 1999.
- L. Zhang, et al., Natural convection heat transfer in corium pools: a review work of experimental studies, Prog. Nucl. Energy 79 (2015) 167-181.
- Beuzet, E., et al. Corium-related improvements in the EDF version of MAAP code in the frame of severe accident studies. in Proceedings of the 16th International Topical Meeting on Nuclear Reactor Thermal-Hydraulics, NURETH.
- R. Le Tellier, L. Saas, S. Bajard, Transient stratification modelling of a corium pool in a LWR vessel lower head, Nucl. Eng. Des. 287 (2015) 68-77.
- F. Fichot, et al., Elaboration of a phenomena identification ranking table (PIRT) for the modelling of in-vessel retention, Ann. Nucl. Energy 146 (2020) 107617.
- G.-R. Liu, M.B. Liu, Smoothed Particle Hydrodynamics: a Meshfree Particle Method, World scientific, 2003.
- Y.B. Jo, et al., SOPHIA: development of Lagrangian-based CFD code for nuclear thermal-hydraulics and safety applications, Ann. Nucl. Energy 124 (2019) 132-149.
- L.B. Lucy, A numerical approach to the testing of the fission hypothesis, The astronomical journal 82 (1977) 1013-1024.
- 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.
- J.J. Monaghan, Smoothed particle hydrodynamics, Annu. Rev. Astron. Astrophys. 30 (1992) 543-574.
- S.-H. Park, et al., SPH for General Density Gradient Driven Flow, 2019.
- J.J. Monaghan, Simulating free surface flows with SPH, J. Comput. Phys. 110 (2) (1994) 399-406.
- J.J. Monaghan, Smoothed particle hydrodynamics, Rep. Prog. Phys. 68 (8) (2005) 1703.
- J. Smagorinsky, General circulation experiments with the primitive equations: I. The basic experiment, Mon. Weather Rev. 91 (3) (1963) 99-164.
- J.-J. Jeong, et al., Development of a multi-dimensional thermal-hydraulic system code, MARS 1.3. 1, Ann. Nucl. Energy 26 (18) (1999) 1611-1642.
- M.S. Song, et al., Numerical study on thermal-hydraulics of external reactor vessel cooling in high-power reactor using MARS-KS1. 5 code: CFD-aided estimation of natural circulation flow rate, Nucl. Eng. Technol. 54 (1) (2022) 72-83.
- J.C. Chen, Correlation for boiling heat transfer to saturated fluids in convective flow, Ind. Eng. Chem. Process Des. Dev. 5 (3) (1966) 322-329.
- Y.-G. Lee, I.W. Park, Numerical evaluation of coolability limits of external reactor vessel cooling using an improved thermal-hydraulic system analysis code, Int. J. Energy Res. (2023) 2023.
- C.W. Lee, J.-S. Yoo, H.K. Cho, Multi-scale simulation of wall film condensation in the presence of non-condensable gases using heat structure-coupled CFD and system analysis codes, Nucl. Eng. Technol. 53 (8) (2021) 2488-2498.
- J. Bonnet, Thermal Hydraulic Phenomena in Corium Pools: the BALI Experiment, 1999.
- T.A. Kowalewski, M. Rebow, Freezing of water in a differentially heated cubic cavity, Int. J. Comput. Fluid Dynam. 11 (3-4) (1999) 193-210.
- M. Giangi, et al., Natural convection during ice formation: numerical simulation vs. experimental results, Comput. Assist. Mech. Eng. Sci. 7 (3) (2000) 321-342.
- K. Lim, et al., Evaluation of an IVR-ERVC strategy for a high power reactor using MELCOR 2.1, Ann. Nucl. Energy 109 (2017) 337-349.
- H. Esmaili, M. Khatib-Rahbar, Analysis of In-Vessel Retention and Ex-Vessel Fuel Coolant Interaction for AP1000, Energy Research, Inc., 2004, pp. 4-21. ERI/NRC.
- S.H. Park, Y.B. Jo, Y. Ahn, H.Y. Choi, T.S. Choi, S.S. Park, E.S. Kim, Development of multi-GPU-based smoothed particle hydrodynamics code for nuclear thermal hydraulics and safety: potential and challenges, Front. Energy Res. 8 (2020) 86.
- Y.B. Jo, S.H. Park, H.Y. Choi, H.W. Jung, Y.J. Kim, E.S. Kim, SOPHIA: development of Lagrangian-based CFD code for nuclear thermal-hydraulics and safety applications, Ann. Nucl. Energy 124 (2019) 132-149.
- M. Giangi, F. Stella, T.A. Kowalewski, Phase change problems with free convection: fixed grid numerical simulation, Comput. Visual Sci. 2 (1999) 123-130.
- T.A. Kowalewski, M. Rebow, Freezing of water in a differentially heated cubic cavity, Int. J. Comput. Fluid Dynam. 11 (3-4) (1999) 193-210.