On Monotonically Integrated Large Eddy Simulation of Turbulent Flows Based on FCT Algorithms

Non-classical Large Eddy Simulation (LES) approaches based on using the unfiltered flow equations instead of the filtered ones have been the subject of considerable interest during the last decade. In the Monotonically Integrated LES (MILES) approach, flux-limiting schemes are used to emulate the characteristic turbulent flow features in the high-wavenumber end of the inertial subrange region. Mathematical and physical aspects of implicit SGS modeling using non-linear flux-limiters are addressed using the modified LES-equation formalism. FCT based MILES performance is demonstrated in selected case studies including (1) canonical flows (homogeneous isotropic turbulence and turbulent channel flows), (2) complex free and wall-bounded flows (rectangular jets and flow past a prolate spheroid), (3) very-complex flows at the frontiers of current unsteady flow simulation capabilities (submarine hydrodynamics).

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