Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction

A defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometric averaging of the previous two-time levels. In defect step, an artificial viscosity added only on fluctuations in velocity gradient removing this effect a coarse mesh. The dissipative influence further eliminated step while gaining additional accuracy at same time. stability analyses resulting algorithm are investigated analytically numerically.