Theoretical Mathematics & Applications

Location Problems of an interface with two layer stationary Navier-Stokes Systems

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• Abstract

  In this paper, we focus on an interface problem. Two fluids immiscible satisfying stationary Navier-Stokes equations, with transmission boundary conditions on the interface are considered. We use topological optimization tools to get a topological sensitivity of a given cost function, in order to do numerical simulations locating the interface that separates the two fluids. In fact the obtained numerical results permit to see the comportment or the behavior of the fluids when changing the pressure in one compartment.