Evaluation of level set and phase field methods in modeling two phase flow with viscosity contrast through dual-permeability porous medium

► Level set method (LSM) and phase field method (PFM) are compared. ► Different two-phase flow problems are simulated using LSM and PFM. ► PFM better captures the physical phenomena in fluid flow through porous media. ► The computational time of PFM is considerably less, compared to LSM.