Central-moment discrete unified gas-kinetic scheme for incompressible two-phase flows with large density ratio

In this paper, we proposed a central moment discrete unified gas-kinetic scheme (DUGKS) for multiphase flows with large density ratio and high Reynolds number. Two sets of kinetic equations central-moment-based multiple relaxation time collision operator are employed to approximate the incompressible Navier-Stokes conservative phase field equation interface-capturing, respectively. framework DUGKS, first distribution function hydrodynamic is defined as velocity instead momentum. Meanwhile, zeroth moments external force carefully such that artificial pressure evolution can be recovered. Moreover, Strang splitting technique integration avoid calculation spatial derivatives in term at cell faces. For interface-capturing equation, two equivalent DUGKS methods deal diffusion differently using source well modified equilibrium presented. Several benchmark tests cover wide range ratios (up 1000) numbers 105) subsequently carried out demonstrate capabilities scheme. Numerical results good agreement theoretical experimental data.