In this chapter we start by presenting a reduced basis (RB) Smagorinsky turbulence model (cf. [541]) for steady flows, which is the basic large eddy simulation (LES) turbulence model, in which the effect of the subgrid scales on the resolved scales is modeled by eddy diffusion terms (cf. [111, 515]). It is an intrinsically discrete model, since the eddy viscosity term depends on the mesh size. Although it is well known that the Smagorinsky model is overdiffusive, the construction of this RB Smagorinsky turbulence model represents a first step that is complex enough and essential for the RB models presented later on.
Chapter 3: Certified Smagorinsky Reduced Basis Turbulence Model / Delgado Avila, Enrique; Ballarin, Francesco; Rozza, Gianluigi. - (2022), pp. 59-82. [10.1137/1.9781611977257.ch3]
Chapter 3: Certified Smagorinsky Reduced Basis Turbulence Model
Delgado Avila, Enrique;Ballarin, Francesco;Rozza, Gianluigi
2022-01-01
Abstract
In this chapter we start by presenting a reduced basis (RB) Smagorinsky turbulence model (cf. [541]) for steady flows, which is the basic large eddy simulation (LES) turbulence model, in which the effect of the subgrid scales on the resolved scales is modeled by eddy diffusion terms (cf. [111, 515]). It is an intrinsically discrete model, since the eddy viscosity term depends on the mesh size. Although it is well known that the Smagorinsky model is overdiffusive, the construction of this RB Smagorinsky turbulence model represents a first step that is complex enough and essential for the RB models presented later on.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
