Scopus
🔓 Açık Erişim
On the topology of the eigenframe of the subgrid-scale stress tensor
Journal of Fluid Mechanics · Temmuz 2016
Makale Bilgileri
DergiJournal of Fluid Mechanics
Yayın TarihiTemmuz 2016
Cilt / Sayfa798 · 598-627
Scopus ID2-s2.0-84973325747
Erişim🔓 Açık Erişim
Özet
In this paper, the geometrical properties of the subgrid-scale (SGS) stress tensor are investigated through its eigenvalues and eigenvectors. The concepts of Euler rotation angle and axis are utilized to investigate the relative rotation of the eigenframe of the SGS stress tensor with respect to that of the resolved strain rate tensor. Both Euler rotation angle and axis are natural invariants of the rotation matrix, which uniquely describe the topological relation between the eigenframes of these two tensors. Different from the reference frame fixed to a rigid body, the eigenframe of a tensor consists of three orthonormal eigenvectors, which by their nature are subjected to directional aliasing. In order to describe the geometric relationship between the SGS stress and resolved strain rate tensors, an effective method is proposed to uniquely determine the topology of the eigenframes. The proposed method has been used for testing three SGS stress models in the context of homogeneous isotropic turbulence at three Reynolds numbers, using both a priori and a posteriori approaches.
Yazarlar (2)
1
Zixuan Yang
2
Bing Chen Wang
Anahtar Kelimeler
isotropic turbulence
turbulence modelling
turbulence simulation
Kurumlar
University of Manitoba
Winnipeg Canada
Metrikler
9
Atıf
2
Yazar
3
Anahtar Kelime