https://hal.inria.fr/hal-01347555Hinze, MichaelMichaelHinzeUHH - Universität HamburgKahle, ChristianChristianKahleUHH - Universität HamburgA Nonlinear Model Predictive Concept for Control of Two-Phase Flows Governed by the Cahn-Hilliard Navier-Stokes SystemHAL CCSD2013Flow controlNavier-StokesCahn-HilliardModel Predictive ControlInstantaneous ControlAdaptive Finite Elements[INFO] Computer Science [cs]Ifip, HalDietmar HömbergFredi Tröltzsch2016-07-21 11:22:412016-07-21 11:48:122016-07-21 11:48:12enConference papershttps://hal.inria.fr/hal-01347555/document10.1007/978-3-642-36062-6_351We present a nonlinear model predictive framework for closed-loop control of two-phase flows governed by the Cahn-Hilliard Navier-Stokes system. We adapt the concept for instantaneous control from [6,12,16] to construct distributed closed-loop control strategies for two-phase flows. It is well known that distributed instantaneous control is able to stabilize the Burger’s equation [16] and also the Navier-Stokes system [6,12]. In the present work we provide numerical investigations which indicate that distributed instantaneous control also is well suited to stabilize the Cahn-Hilliard Navier-Stokes system.