“…On the other hand, aside from experimental investigations, modeling studies and numerical simulations are also progressing. For instance, owing to the knowledge from the microscopic flow-regime investigations that the self-leveling behavior might be dominated by the solid phase (Cheng, et al, 2010a(Cheng, et al, , 2011a(Cheng, et al, , 2013a, currently several computer models treating the particle-particle and particle-bubble interactions are being developed and incorporating into SIMMER-III (Guo, et al, 2012a,b;Zhang, et al, 2012), an advanced fast reactor safety analysis code (Tobita, et al, 2006). However, due to the extremely complex and uncertain nature of the three-phase flow involved in the leveling phenomenon (Cheng, et al, 2011b;Zhang, et al, 2010), empirical approach is still regarded as an attractive and indispensable option at present stage because of its distinct advantage in calculation efficiency.…”