A unified Quasi-Spectral Viscosity (QSV) approach to shock capturing and large-eddy simulation

نویسندگان

چکیده

The Quasi-Spectral Viscosity (QSV) method is a novel closure for high-order finite-difference discretization of the filtered compressible Navier-Stokes equations capable unifying dynamic sub-filter scale (SFS) modeling and shock capturing under single mathematical framework. Its innovation lies in introduction physical-space implementation spectral-like SFS dissipation term by leveraging residuals filter operations, achieving two goals: (1) estimating energy resolved solution near grid cutoff; (2) imposing plateau-cusp shape to spectral distribution added dissipation. QSV approach has been tested variety flows showcase its capability act interchangeably as: method, Shu-Osher, shock/vortex or shock/wall interactions problems; as closure, subsonic Taylor Green Vortex (TGV), supersonic/hypersonic turbulent channel flows. performs well compared previous eddy-viscosity closures methods such test cases. In supersonic TGV flow, case which exhibits shock/turbulence interactions, alone outperforms simple superposition separate numerical treatments turbulence shocks. QSV's combined simulating shocks independently, simultaneously, effectively achieves unification Large-Eddy Simulation.

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ژورنال

عنوان ژورنال: Journal of Computational Physics

سال: 2022

ISSN: ['1090-2716', '0021-9991']

DOI: https://doi.org/10.1016/j.jcp.2022.111139