OPERATOR-SPLITTING AND LAGRANGE MULTIPLIER DOMAIN DECOMPOSITION METHODS FOR NUMERICAL SIMULATION OF TWO COUPLED NAVIER-STOKES FLUIDS

摘要

We present a numerical simulation of two coupled Navier-Stokes flows, using operator-splitting and optimization-based non-overlapping domain decomposition methods. The model problem consists of two Navier-Stokes fluids coupled, through a common interface, by a nonlinear transmission condition. Numerical experiments are carried out with two coupled fluids; one with an initial linear profile and the other in rest. As expected, the transmission condition generates a recirculation within the fluid in rest.