“…These include: the mixed-cell method (MCM) [e.g., Acharya et al, 2005;Bryntesson, 2002;Kim et al, 2011;Li et al, 2006;Mehmani et al, 2012;Nogues et al, 2013], random walk [e.g., Sorbie and Clifford, 1991;Bruderer and Bernabe, 2001;Bijeljic et al, 2004;Jha et al, 2011], smoothed particle hydrodynamics (SPH) [e.g., Zhu and Fox, 2002], lattice Boltzmann (LB) [e.g., Kang et al, 2006], and classical Computational Fluid Dynamics (CFD) [e.g., Shen et al, 2011]. In this work, we employ MCM because of its overall simplicity and computational efficiency.…”