Search for: [Abstract = "We present a numerical simulation of two coupled Navier\-Stokes flows, using operator\-splitting and optimization\-based nonoverlapping 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."]

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