A variational multiscale method for turbulent flow simulation with adaptive large scale space

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

John, Volker^1,2  Kindl, Adela³ 

[1] Weierstrass Inst Appl Anal & Stochast WIAS, D-10117 Berlin, Germany

[2] Free Univ Berlin, Dept Math & Comp Sci, D-14195 Berlin, Germany

[3] Univ Saarland, FR Math 6 1, D-66041 Saarbrucken, Germany

关键词: Variational multiscale method;    Turbulent flows;    Finite element method;    Large scale space;    Adaptivity;   

DOI  :  10.1016/j.jcp.2009.09.025

来源: Elsevier

【 摘 要 】

In turbulent flows it is only feasible to simulate large flow structures. Variational multiscale (VMS) methods define these flow structures by projections onto appropriate function spaces. This paper presents a finite element VMS method which chooses the large scale projection space adaptively. The adaption controls the influence of an eddy viscosity model and it is based on the size of the so-called resolved small scales. The adaptive procedure is described in detail. Numerical studies at a turbulent channel flow and a turbulent flow around a cylinder are presented. It is shown that the method selects the large scale space in a reasonable way and that appropriately chosen parameters improve the results compared to the basic method, which uses the same local large scale space in the whole domain and for all times. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free