Geometrical properties of the vorticity vector derived using large-eddy simulation

@article{citeulike:2197289, abstract = {In this paper, the geometrical properties of the resolved vorticity vector derived from large-eddy simulation are investigated using a statistical method. Numerical tests have been performed based on a turbulent Couette channel flow using three different dynamic linear and nonlinear subgrid-scale stress models. The geometrical properties of have a significant impact on various physical quantities and processes of the flow. To demonstrate, we examined helicity and helical structure, the attitude of with respect to the eigenframes of the resolved strain rate tensor and negative subgrid-scale stress tensor -[tau]ij, enstrophy generation, and local vortex stretching and compression. It is observed that the presence of the wall has a strong anisotropic influence on the alignment patterns between and the eigenvectors of , and between and the resolved vortex stretching vector. Some interesting wall-limiting geometrical alignment patterns and probability density distributions in the form of Dirac delta functions associated with these alignment patterns are reported. To quantify the subgrid-scale modelling effects, the attitude of with respect to the eigenframe of -[tau]ij is studied, and the geometrical alignment between and the Euler axis is also investigated. The Euler axis and angle for describing the relative rotation between the eigenframes of -[tau]ij and are natural invariants of the rotation matrix, and are found to be effective for characterizing a subgrid-scale stress model and for quantifying the associated subgrid-scale modelling effects on the geometrical properties of .}, author = {Wang, Bing-Chen and Yee, Eugene and Bergstrom, Donald J. }, citeulike-article-id = {2197289}, doi = {10.1016/j.fluiddyn.2007.05.001}, journal = {Fluid Dynamics Research}, keywords = {alignment, les, strain, vorticity}, month = {February}, number = {2}, pages = {123--154}, posted-at = {2008-01-05 16:06:53}, priority = {2}, title = {Geometrical properties of the vorticity vector derived using large-eddy simulation}, url = {http://dx.doi.org/10.1016/j.fluiddyn.2007.05.001}, volume = {40}, year = {2008} }

TY - JOUR ID - citeulike:2197289 TI - Geometrical properties of the vorticity vector derived using large-eddy simulation JF - Fluid Dynamics Research VL - 40 IS - 2 SP - 123 EP - 154 N2 - In this paper, the geometrical properties of the resolved vorticity vector derived from large-eddy simulation are investigated using a statistical method. Numerical tests have been performed based on a turbulent Couette channel flow using three different dynamic linear and nonlinear subgrid-scale stress models. The geometrical properties of have a significant impact on various physical quantities and processes of the flow. To demonstrate, we examined helicity and helical structure, the attitude of with respect to the eigenframes of the resolved strain rate tensor and negative subgrid-scale stress tensor -[tau]ij, enstrophy generation, and local vortex stretching and compression. It is observed that the presence of the wall has a strong anisotropic influence on the alignment patterns between and the eigenvectors of , and between and the resolved vortex stretching vector. Some interesting wall-limiting geometrical alignment patterns and probability density distributions in the form of Dirac delta functions associated with these alignment patterns are reported. To quantify the subgrid-scale modelling effects, the attitude of with respect to the eigenframe of -[tau]ij is studied, and the geometrical alignment between and the Euler axis is also investigated. The Euler axis and angle for describing the relative rotation between the eigenframes of -[tau]ij and are natural invariants of the rotation matrix, and are found to be effective for characterizing a subgrid-scale stress model and for quantifying the associated subgrid-scale modelling effects on the geometrical properties of . KW - alignment KW - les KW - strain KW - vorticity AU - Wang, Bing-Chen AU - Yee, Eugene AU - Bergstrom, Donald PY - 2008/02// UR - http://dx.doi.org/10.1016/j.fluiddyn.2007.05.001 ER -