Simulation of the deformation and burst of a viscous drop in simple shear flow through a volume of fluid method

The deformation and breakup of a viscous drop immersed in an ambient simple shear flow is studied, in which the interface is captured by using volume-of-fluid method and the surface tension is calculated based on the continuum surface force (CSF) model. General second-order projection method with a staggered mesh is developed to simulate incompressible Navier-Stokes equations with the surface tension as a source term. For capillary numbers greater than the critical value, and low Reynolds number, the procedure of deformation and breakup of a drop is suited to the elongative end-pinching mechanism. The numerical results are in close agreement with existed numerical and experimental results.