References
- E. Kim, W.H. Jung, J.H. Park, H.S. Park, K. Moriyama, Experiments on sedimentation of particles in a water pool with gas inflow, Nucl. Eng. Technol. 48 (2016), https://doi.org/10.1016/j.net.2015.12.007.
- Y.B. Jo, S. Park, E.S. Kim, Numerical simulation of 3-phase debris bed hydrodynamic leveling behavior using multi-phase SPH-DEM coupling, in: Transactions Of the Korean Nuclear Society Virtual Spring Meeting, Online, 2020. July 9-10.
- S. Yakush, P. Kudinov, Simulation of ex-vessel debris bed formation and coolability in a LWR severe accident, in: Proceedings of ISAMM-2009, Bottstein, Switzerland, 2009. Oct 25-28.
- E.S. Kim, S.H. Park, Y.B. Jo, Status of particle-based multi-physics simulation for nuclear severe accident: review, in: Transactions Of the Korean Nuclear Society Virtual Spring Meeting, Online, May 13-14, 2021.
- S.H. Park, Y.B. Jo, Y. Ahn, H.Y. Choi, T.S. Choi, S.S. Park, H.S. Yoo, J.W. Kim, E. S. Kim, Development of multi-GPU-based smoothed particle hydrodynamics code for nuclear thermal hydraulics and safety: potential and challenges, Front. Energy Res. (2020) 8, https://doi.org/10.3389/fenrg.2020.00086.
- Y.B. Jo, S.H. Park, H.S. Yoo, E.S. Kim, GPU-based SPH-DEM method to examine the three-phase hydrodynamic interactions between multiphase flow and solid particles, Int. J. Multiphas. Flow (2022) 153, https://doi.org/10.1016/j.ijmultiphaseflow.2022.104125.
- E. Kim, M. Lee, H.S. Park, K. Moriyama, J.H. Park, Development of an ex-vessel corium debris bed with two-phase natural convection in a flooded cavity, Nucl. Eng. Des. 298 (2016), https://doi.org/10.1016/j.nucengdes.2015.12.028.
- A. Konovalenko, S. Basso, P. Kudinov, S.E. Yakush, Experimental investigation of particulate debris spreading in a pool, Nucl. Eng. Des. 297 (2016), https://doi.org/10.1016/j.nucengdes.2015.11.039.
- D. Jain, J.A.M. Kuipers, N.G. Deen, Numerical study of coalescence and breakup in a bubble column using a hybrid volume of fluid and discrete bubble model approach, Chem. Eng. Sci. 119 (2014), https://doi.org/10.1016/j.ces.2014.08.026.
- M. Van Sint Annaland, N.G. Deen, J.A.M. Kuipers, Numerical simulation of gas bubbles behaviour using a three-dimensional volume of fluid method, Chem. Eng. Sci. 60 (2005), https://doi.org/10.1016/j.ces.2005.01.031.
- R.F.L. Cerqueira, E.E. Paladino, F. Evrard, F. Denner, B. Wachem, van Multiscale modeling and validation of the flow around taylor bubbles surrounded with small dispersed bubbles using a coupled VOF-DBM approach, Int. J. Multiphas. Flow (2021) 141, https://doi.org/10.1016/j.ijmultiphaseflow.2021.103673.
- D. Darmana, N.G. Deen, J.A.M. Kuipers, Detailed modeling of hydrodynamics, mass transfer and chemical reactions in a bubble column using a discrete bubble model, Chem. Eng. Sci. 60 (2005) 3383-3404, https://doi.org/10.1016/J.CES.2005.01.025.
- D. Darmana, R.L.B. Henket, N.G. Deen, J.A.M. Kuipers, Detailed modelling of hydrodynamics, mass transfer and chemical reactions in a bubble column using a discrete bubble model: chemisorption of CO2 into NaOH solution, numerical and experimental study, Chem. Eng. Sci. 62 (2007), https://doi.org/10.1016/j.ces.2007.01.065.
- D. Jain, Y.M. Lau, J.A.M. Kuipers, N.G. Deen, Discrete bubble modeling for a micro-structured bubble column, Chem. Eng. Sci. 100 (2013), https://doi.org/10.1016/j.ces.2013.02.060.
- J.B. Joshi, Computational flow modelling and design of bubble column reactors, Chem. Eng. Sci. 56 (2001).
- G.R. Guedon, G. Besagni, F. Inzoli, Prediction of gas-liquid flow in an annular gap bubble column using a Bi-dispersed eulerian model, Chem. Eng. Sci. 161 (2017), https://doi.org/10.1016/j.ces.2016.12.015.
- A. Asad, C. Kratzsch, R. Schwarze, Influence of drag closures and inlet conditions on bubble dynamics and flow behavior inside a bubble column, Eng. Appl. Comput. Fluid Mech. 11 (2017), https://doi.org/10.1080/19942060.2016.1249410.
- X. Sun, M. Sakai, Y. Yamada, Three-dimensional simulation of a solid-liquid flow by the DEM-SPH method, J. Comput. Phys. 248 (2013), https://doi.org/10.1016/j.jcp.2013.04.019.
- M. Robinson, M. Ramaioli, S. Luding, Fluid-particle flow simulations using twoway-coupled mesoscale SPH-DEM and validation, Int. J. Multiphas. Flow 59 (2014), https://doi.org/10.1016/j.ijmultiphaseflow.2013.11.003.
- S.J. Neethling, D.J. Barker, Using smooth particle hydrodynamics (SPH) to model multiphase mineral processing systems, Miner. Eng. 90 (2016), https://doi.org/10.1016/j.mineng.2015.09.022.
- E. Harada, H. Gotoh, H. Ikari, A. Khayyer, Numerical simulation for sediment transport using MPS-DEM coupling model, Adv. Water Resour. 129 (2019), https://doi.org/10.1016/j.advwatres.2017.08.007.
- E. Harada, T. Tazaki, H. Gotoh, Numerical investigation of ripple in oscillating water tank by DEM-MPS coupled solid-liquid two-phase flow model, J.HydroEnviron. Res. (2020) 32, https://doi.org/10.1016/j.jher.2020.07.001.
- E. Harada, H. Ikari, T. Tazaki, H. Gotoh, Numerical simulation for coastal morphodynamics using DEM-MPS method, Appl. Ocean Res. 117 (2021), https://doi.org/10.1016/j.apor.2021.102905.
- T. Tazaki, E. Harada, H. Gotoh, Vertical sorting process in oscillating water tank using DEM-MPS coupling model, Coast Eng. (2021) 165, https://doi.org/10.1016/j.coastaleng.2020.103765.
- S. Koshizuka, Y. Oka, Moving-particle semi-implicit method for fragmentation of incompressible fluid, Nucl. Sci. Eng. 123 (1996), https://doi.org/10.13182/NSE96-A24205.
- S. Koshizuka, A. Nobe, Y. Oka, Numerical analysis of breaking waves using the moving particle semi-implicit method, Int. J. Numer. Methods Fluid. 26 (1998), https://doi.org/10.1002/(sici)1097-0363(19980415)26:7<751::aid-fld671>3.0.co;2-c.
- S. Koshizuka, H. Ikeda, Y. Oka, Numerical analysis of fragmentation mechanisms in vapor explosions, Nucl. Eng. Des. 189 (1999) 423-433, https://doi.org/10.1016/S0029-5493(98)00270-2.
- Y. Yamada, M. Sakai, Lagrangian-Lagrangian simulations of solid-liquid flows in a bead mill, Powder Technol. 239 (2013), https://doi.org/10.1016/j.powtec.2013.01.030.
- G. Duan, S. Koshizuka, A. Yamaji, B. Chen, X. Li, T. Tamai, An accurate and stable multiphase moving particle semi-implicit method based on a corrective matrix for all particle interaction models, Int. J. Numer. Methods Eng. 115 (2018) 1287-1314, https://doi.org/10.1002/nme.5844.
- T. Zhang, S. Koshizuka, P. Xuan, J. Li, C. Gong, Enhancement of stabilization of MPS to arbitrary geometries with a generic wall boundary condition, Comput. Fluids 178 (2019) 88-112, https://doi.org/10.1016/J.COMPFLUID.2018.09.008.
- M.A. Basit, W. Tian, R. Chen, R. Basit, S. Qiu, G. Su, Investigation of single bubble behavior under rolling motions using multiphase MPS method on GPU, Nucl. Eng. Technol. (2021) 53, https://doi.org/10.1016/j.net.2020.12.013.
- J. Ma, G.L. Chahine, C.T. Hsiao, Spherical bubble dynamics in a bubbly medium using an euler-Lagrange model, Chem. Eng. Sci. 128 (2015), https://doi.org/10.1016/j.ces.2015.01.056.
- T. Ziegenhein, R. Rzehak, E. Krepper, D. Lucas, Numerical simulation of polydispersed flow in bubble columns with the inhomogeneous multi-size-group model, Chem. Ing. Tech. 85 (2013), https://doi.org/10.1002/cite.201200223.
- D. Lucas, R. Rzehak, E. Krepper, T. Ziegenhein, Y. Liao, S. Kriebitzsch, P. Apanasevich, A strategy for the qualification of multi-fluid approaches for nuclear reactor safety, in: Proceedings of the Nuclear Engineering and Design vol. 299, 2016.
- R. Rzehak, M. Krauss, P. Kovats, K. Zahringer, Fluid dynamics in a bubble column: new experiments and simulations, Int. J. Multiphas. Flow 89 (2017), https://doi.org/10.1016/j.ijmultiphaseflow.2016.09.024.
- E.I.V. Van Den Hengel, N.G. Deen, J.A.M. Kuipers, Application of coalescence and breakup models in a discrete bubble model for bubble columns, Ind. Eng. Chem. Res. 44 (2005), https://doi.org/10.1021/ie0492449.
- S.H. Park, Y.B. Jo, Y. Ahn, H.Y. Choi, T.S. Choi, S.S. Park, H.S. Yoo, J.W. Kim, E. S. Kim, Development of multi-GPU-based smoothed particle hydrodynamics code for nuclear thermal hydraulics and safety: potential and challenges, Front. Energy Res. (2020) 8, https://doi.org/10.3389/fenrg.2020.00086.
- H. Gotoh, T. Sakai, T. Shibahara, Lagrangian flow simulation with SUB-PARTICLESCALE turbulence model, Proc. Hydraul. Eng. 44 (2000), https://doi.org/10.2208/prohe.44.575.
- J. Arai, S. Koshizuka, K. Murozono, Large eddy simulation and a simple wall model for turbulent flow calculation by a particle method, Int. J. Numer. Methods Fluid. 71 (2013), https://doi.org/10.1002/fld.3685.
- E. Delnoij, J.A.M. Kuipers, W.P.M. van Swaaij, A three-dimensional CFD model for gas-liquid bubble columns, Chem. Eng. Sci. 54 (1999) 2217-2226, https://doi.org/10.1016/S0009-2509(98)00362-5.
- H. Rusche, Computational Fluid Dynamics of Dispersed Two-phase Flows at High Phase Fractions, PhD Thesis, Imperial College London (University of London), 2002.
- A. Tomiyama, H. Tamai, I. Zun, S. Hosokawa, Transverse migration of single bubbles in simple shear flows, Chem. Eng. Sci. 57 (2002) 1849-1858, https://doi.org/10.1016/S0009-2509(02)00085-4.
- S. Hosokawa, A. Tomiyama, S. Misaki, T. Hamada, Lateral migration of single bubbles due to the presence of wall, in: Proceedings of the American Society of Mechanical Engineers vol. 257, Fluids Engineering Division (Publication) FED, 2002.
- R. Rzehak, E. Krepper, C. Lifante, Comparative study of wall-force models for the simulation of bubbly flows, Nucl. Eng. Des. 253 (2012), https://doi.org/10.1016/j.nucengdes.2012.07.009.
- A.D. Burns, T. Frank, I. Hamill, J.M. Shi, The Favre Averaged Drag Model for Turbulent Dispersion in Eulerian Multi-phase Flows, 5th International Conference on Multiphase Flow, Yokohama, Japan, 2004. May 30 - June 4.
- Y. Tsuji, T. Tanaka, T. Ishida, Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe, Powder Technol. 71 (1992), https://doi.org/10.1016/0032-5910(92)88030-L.
- T.B. Anderson, R.O.Y. Jackson, A fluid mechanical description of fluidized beds, Ind. Eng. Chem. Fundam. 6 (1967).
- Z.Y. Zhou, S.B. Kuang, K.W. Chu, A.B. Yu, Discrete particle simulation of particlefluid flow: model formulations and their applicability, J. Fluid Mech. 661 (2010), https://doi.org/10.1017/S002211201000306X.
- K.M.T. Kleefsman, G. Fekken, A.E.P. Veldman, B. Iwanowski, B. Buchner, A volume-of-fluid based simulation method for wave impact problems, J. Comput. Phys. (2005) 206, https://doi.org/10.1016/j.jcp.2004.12.007.
- S. Ergun, Fluid flow through packed columns, Chem. Eng. Prog. 48 (1952) citeulike-article-id:7797897.
- R. di Felice, The voidage function for fluid-particle interaction systems, Int. J. Multiphas. Flow 20 (1994), https://doi.org/10.1016/0301-9322(94)90011-6.
- N.G. Deen, T. Solberg, B.H. Hjertager, Large eddy simulation of the gas-liquid flow in a square cross-sectioned bubble column, Chem. Eng. Sci. 56 (2001), https://doi.org/10.1016/S0009-2509(01)00249-4.