A FIC-based stabilized finite element formulation for turbulent flows

被引:8
作者
Cotela-Dalmau, Jordi [1 ]
Rossi, Riccardo
Onate, Eugenio
机构
[1] CIMNE, Campus Nord UPC,C Gran Capita Sn, Barcelona 08034, Spain
关键词
Finite Increment Calculus; Turbulence modeling; Stabilized finite elements; LARGE-EDDY SIMULATION; COMPUTATIONAL FLUID-DYNAMICS; DIRECT NUMERICAL-SIMULATION; INCOMPRESSIBLE FLOWS; CIRCULAR-CYLINDER; SCALE MODELS; CALCULUS; APPROXIMATION; DISSIPATION;
D O I
10.1016/j.cma.2016.11.020
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a new stabilized finite element (FEM) formulation for incompressible flows based on the Finite Increment Calculus (FIC) framework (Orate, 1998). In comparison to existing FIC approaches for fluids, this formulation involves a new term in the momentum equation, which introduces non-isotropic dissipation in the direction of velocity gradients. We also follow a new approach to the derivation of the stabilized mass equation, inspired by recent developments for quasi-incompressible flows Pilate et al., 2014). The presented FIC-FEM formulation is used to simulate turbulent flows, using the dissipation introduced by the method to account for turbulent dissipation in the style of implicit large eddy simulation. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:607 / 631
页数:25
相关论文
共 41 条
[22]   Numerical studies of flow over a circular cylinder at ReD=3900 [J].
Kravchenko, AG ;
Moin, P .
PHYSICS OF FLUIDS, 2000, 12 (02) :403-417
[23]  
Lienhard J.H., 1966, TECH REP
[24]   A modulated gradient model for large-eddy simulation: Application to a neutral atmospheric boundary layer [J].
Lu, Hao ;
Porte-Agel, Fernando .
PHYSICS OF FLUIDS, 2010, 22 (01) :1-12
[25]   Direct numerical simulation of turbulent channel flow up to Reτ=590 [J].
Moser, RD ;
Kim, J ;
Mansour, NN .
PHYSICS OF FLUIDS, 1999, 11 (04) :943-945
[26]   Fluctuating lift on a circular cylinder: review and new measurements [J].
Norberg, C .
JOURNAL OF FLUIDS AND STRUCTURES, 2003, 17 (01) :57-96
[27]   Computation of turbulent flows using a finite calculus-finite element formulation [J].
Onate, E. ;
Valls, A. ;
Garcia, J. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2007, 54 (6-8) :609-637
[28]   Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems [J].
Onate, E .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 151 (1-2) :233-265
[29]   Possibilities of finite calculus in computational mechanics [J].
Oñate, E .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 60 (01) :255-281
[30]   A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation [J].
Oñate, E .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 182 (3-4) :355-370