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- W778817708 abstract "where u denotes the velocity field, p represents the pressure, the non-linear convective term is defined by C(u,v) = (u · ∇)v, and the diffusive term reads Du = ν∆u, where ν is the kinematic viscosity. However, direct simulations at high Rayleigh numbers (Ra) are not feasible yet because the convective term produces far too many relevant scales of motion. Hence, in the foreseeable future numerical simulations of turbulent flows will have to resort to models of the small scales. The most popular example thereof is the LargeEddy Simulation (LES): the (unresolved) subgrid stress (SGS) tensor is approximated in terms of the resolved velocity (filtered velocity). Many SGS models have been proposed in the last decades (see [1], for instance). Alternatively, regularizations of the non-linear convective term basically reduce the transport towards the small scales: the convective term in the NS equations is replaced by a smoother approximation [2]. In our previous works (see [3, 4] and reference therein), we restricted ourselves to the C4 approximation [2]: the convective term in the NS equations (1) is then replaced by the following O( )accurate smooth approximation C4(u,v) given by C4(u,v) = C(u,v) + C(u,v′) + C(u′,v), (2)" @default.
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- W778817708 date "2014-01-01" @default.
- W778817708 modified "2023-09-23" @default.
- W778817708 title "Spectrally-consistent regularization of turbulent Rayleigh-Bénard convection" @default.
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