“…The previously documented maximum Reynolds number is = 647 (Ji, Munjiza, Avital, Xu & Williams, 2014). Even if the Lagrangian point-particle method is employed (Sardina et al, 2012;Vreman, 2007;Zhao, Andersson, & Gillissen, 2013), the highest Reynolds number currently achievable is also limited to (10 3 ) (Richter, 2015; Wang & Richter, E5-4 H. Liu and X. Zheng 2019). To improve the Reynolds number, the LES may be a feasible approach, but currently, there is no general model for describing particle-laden turbulence at high Reynolds numbers.…”