“…Understanding and controlling the miscible viscous fingering have been the focus of many studies in the current and past decades. In this regard, the effects of nonmonotonic viscosity profile (Manickam & Homsy, 1993), multiple diffusivities (Azaiez & Sajjadi, 2012; Mishra et al, 2010), permeability heterogeneity (Nicolaides et al, 2015; De Wit & Homsy, 1998), mechanical dispersion (Ghesmat & Azaiez, 2008; Zimmerman & Homsy, 1991), adsorption (Rana et al, 2019), non‐Newtonian fluids (Singh & Azaiez, 2001), chemical reactions (Gérard & De Wit, 2009; Hejazi & Azaiez, 2010; De Wit, 2020), nanoparticles and nanocatalysts (Dastvareh et al, 2019; Sabet et al, 2017; Sabet et al, 2018), and nonisothermal displacement (Islam & Azaiez, 2010) have been investigated in the past. Among the first efforts for simulation of viscous fingering in porous media was the study conducted by Peaceman and Rachford (1962) based on the finite difference scheme.…”