Approaches to predict flow fields that display rarefaction effects require a cost in computational time and memory considerably higher than for methods commonly employed for continuum flows. For this reason, to simulate flow fields where continuum and rarefied regimes coexist, hybrid techniques have been introduced. In the present work a Gas-Kinetic scheme is proposed to be used in the context of hybrid simulations to reduce the region where the expensive methods are needed by extending the validity of the continuum formulation. Moreover, since for rarefied gas flows at high velocities it is necessary to take into account the non-equilibrium among the internal degrees of freedom, the extension of the approach to employ diatomic gas models with rotational relaxation has been considered as a first step of thermodynamic non-equilibrium.
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