Symmetry-preserving regularization of wall-bounded turbulent flows
Visualitza/Obre
10.1088/1742-6596/318/4/042060
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/20783
Tipus de documentArticle
Data publicació2011
Condicions d'accésAccés obert
Tots els drets reservats. Aquesta obra està protegida pels drets de propietat intel·lectual i
industrial corresponents. Sense perjudici de les exempcions legals existents, queda prohibida la seva
reproducció, distribució, comunicació pública o transformació sense l'autorització del titular dels drets
Abstract
The incompressible Navier-Stokes equations constitute an excellent mathematical modelization of turbulence. Unfortunately, attempts at performing direct simulations are limited to relatively low-Reynolds numbers because of the almost numberless small scales produced by the non-linear convective term. Alternatively, a dynamically less complex formulation is proposed here. Namely, regularizations of the Navier-Stokes equations that preserve the symmetry and conservation properties exactly. To do so, both convective and diffusive term are altered in the same vein. In this way, the convective production of small scales is effectively restrained whereas the modified diffusive term introduces an hyper-viscosity effect and consequently enhances the destruction of small scales. In practice, the only additional ingredient is a self-adjoint linear filter whose local filter length is determined from the requirement that vortex-stretching must stop at the smallest grid scale. To do so, a new criterion based on the invariants of the local strain tensor is proposed here. Altogether, the proposed method constitutes a parameter-free turbulence model.
CitacióTrias, F. X. [et al.]. Symmetry-preserving regularization of wall-bounded turbulent flows. "Journal of physics: conference series", 2011, vol. 318, núm. 4, p. 42-60.
ISSN1742-6588
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
1742-6596_318_4_042060.pdf | Article | 512Kb | Visualitza/Obre |