Error estimates of a decoupled algorithm for a fluid–fluid interaction problem

摘要: Abstract In this paper, we study the error estimates of a decoupled algorithm for fluid–fluid model. The system consists two Navier–Stokes equations which are coupled by set linear interface conditions. We apply partitioned time stepping method to decouple system. corresponding scheme is unconditionally stable and prove that velocities in L 2 norm optimal. Moreover, under restriction on step scale, convergent orders H 1 pressures Δ t 7 8 + h 3 4 , respectively. Two numerical examples given verify our theoretical results. Besides, comparing with one, test shows effectiveness method.