A deconvolution enhancement of the Navier-Stokes-伪尾 model

详细信息	查看全文 | 推荐本文 |

• 作者：Tae-Yeon Kim^a ; ¹ ; ^{tykimsay@gmail.com} ; Leo G. Rebholz^b ; ² ; ^{rebholz@clemson.edu} ; ; Eliot Fried^a ; ³ ; ^{eliot.fried@mcgill.ca}
• 关键词：Navier&ndash ; Stokes-伪尾 equations ; Regularized Navier&ndash ; Stokes equations ; Deconvolution models ; Direct numerical simulation of turbulence
• 刊名：Journal of Computational Physics
• 出版年：2012
• 期刊代码：136_00219991
• 类别：cp
• 出版时间：1 June, 2012
• 卷：231
• 期：11
• 页码：4015-4027
• 文件大小：1931 K

摘要

A deconvolution enhancement of the Navier-Stokes-伪尾 model for turbulent flow is introduced. The energy and energy-dissipation rate for the enhanced model are derived. It is also shown that the consistency error, relative to the Navier-Stokes equations, and the microscale of the enhanced model are less than those of the Navier-Stokes-伪尾 model. The proposed model is used to simulate the Taylor-Green vortex problem and results show a qualitatively improved representation of the mean-square vorticity when compared to the Navier-Stokes-伪尾 model. Numerical studies of the energy spectrum and the alignment between the vorticity and the eigenvectors of the stretching tensor for three-dimensional turbulent flows with Re = 200 are used to explore the utility of the model. A benchmark problem of a two-dimensional channel flow over a step for Re = 600 also indicates that this model can be applied to more general flows than those involving periodic boundary conditions.