TY - JOUR
T1 - Mixed finite element methods with convection stabilization for the large eddy simulation of incompressible turbulent flows
AU - Colomés, Oriol
AU - Badia, Santiago
AU - Principe, Javier
PY - 2016/6/1
Y1 - 2016/6/1
N2 - 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=1600, and the Turbulent Channel Flow at Reτ=395 and Reτ=590.
AB - 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=1600, and the Turbulent Channel Flow at Reτ=395 and Reτ=590.
KW - Block recursive preconditioning
KW - Grad-div stabilization
KW - Large eddy simulation
KW - Turbulence
KW - Variational multiscale
UR - http://www.scopus.com/inward/record.url?scp=84960433332&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2016.02.026
DO - 10.1016/j.cma.2016.02.026
M3 - Article
AN - SCOPUS:84960433332
SN - 0045-7825
VL - 304
SP - 294
EP - 318
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -