By Samuele Rubino (Seville University)
The aim of this secondment was to numerically test in the framework of POD (Proper Orthogonal Descomposition)-ROMs (Reduced Order Models) an efficient time-splitting approximation of the Navier-Stokes equations with open boundary conditions already performed for Finite Volume FOMs (Full Order Models)
The motivation to develop this ROM comes from the high computational cost of solving the Navier-Stokes equations with open boundary condition, especially in a many query context, where a numerical simulation has to be performed for different values of parameters. The time splitting scheme proposed in allows to solve the Navier-Stokes equations with open boundary conditions reducing the size of the computational domain and, as consequence, the offline computational cost. Therefore, the ROM offers a greater computational advantage over this scheme.
This work has been done in collaboration with Mejdi Azaıez (University of Bordeaux), Tomas Chacon Rebollo (University of Seville), and Carlos Nunez Fernandez (VirtualMechanics SL).
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