2026-04-17T03:30:29Zhttps://recercat.cat/oai/request
oai:recercat.cat:2117/877832026-01-27T04:03:05Zcom_2072_1033col_2072_452950
RECERCAT author Colomés Gené, Oriol author Badia, Santiago author Principe, Ricardo Javier 2016-06 The variational multiscale method thought as an implicit large eddy simulation model for turbulent flows has been shown to be an alternative to the widely used physical-based models. This method is traditionally combined with equal-order velocity–pressure pairs, since it provides pressure stabilization. In this work, we consider a different approach, based on inf–sup stable elements and convection-only stabilization. In order to do so, we consider a symmetric projection stabilization of the convective term using an orthogonal subscale decomposition. The accuracy and efficiency of this method compared with residual-based algebraic subgrid scales and orthogonal subscales methods for equal-order interpolation is assessed in this paper. Moreover, when inf–sup stable elements are used, the grad–div stabilization term has been shown to be essential to guarantee accurate solutions. Hence, a study of the influence of such term in the large eddy simulation of turbulent incompressible flows is also performed. Furthermore, a recursive block preconditioning strategy has been considered for the resolution of the problem with an implicit treatment of the projection terms. Two different benchmark tests have been solved: the Taylor–Green Vortex flow with Re=1600Re=1600, and the Turbulent Channel Flow at Ret=395Ret=395 and Ret=590Ret=590.Peer ReviewedPostprint (author's final draft) http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Àrees temàtiques de la UPC::Física::Física de fluids Turbulence--Mathematical models Large eddy simulation Turbulence Variational multiscale Block recursive preconditioning Grad–div stabilization Turbulència -- Models matemàtics Mixed finite element methods with convection stabilization for the large eddy simulation of incompressible turbulent flows Article