“…The CE/SE method has been widely applied in compressible (Wang et al, 2008;Zhang and Wang, 2009) and incompressible multiphase flows by using the preconditioned method (Yang et al, 2012;Yang and Zhang, 2013), as well as poromechanical problems (Yang et al, 2014) governed by hyperbolic equations. Yang et al (2010) applied the above method to incompressible multiphase flows in porous media, including the contact interface of dual porous medium, lid-driven cavity flows, dual layer lid-driven cavity flow, which expanded the CE/SE method to the field of fluid mechanics in porous media.…”