Frictional air flows
fluid dynamics | multi-scales | statistical upscaling
We propose a model for underresolved predictions of upper scale evolution of flows, the Extended Upscaled Euler model (EUE). The model stands for a statistical upscaling of the Euler equations onto a local equilibrium mechanism that satisfies the total energy conservation principle and is phenomenologically extended to describe irreversible processes in finite-time transformations of bulk elements of fluid. We test the EUE one-dimensional qualitative description of planar Couette, planar Poiseuille and Ekman flows.