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Kernel-Free Boundary Integral Method for Two-Phase Stokes Equations with Discontinuous Viscosity on Staggered Grids

Kernel-Free Boundary Integral Method for Two-Phase Stokes Equations with Discontinuous Viscosity on Staggered Grids

A discontinuous viscosity coefficient makes the jump conditions of the velocity and normal stress coupled together, which brings great challenges to some commonly used numerical methods to obtain accurate solutions. To overcome the difficulties, a kernel free boundary integral (KFBI) method combined with a modified marker-and-cell (MAC) scheme is developed …