A deconvolution enhancement of the Navier-Stokes-alpha beta model

作者：Kim Tae Yeon^*; Rebholz Leo G; Fried Eliot

来源：Journal of Computational Physics, 2012, 231(11): 4015-4027.

DOI：10.1016/j.jcp.2011.12.003

• Navier-Stokes-alpha beta equations
• Regularized Navier-Stokes equations
• Deconvolution models
• Direct numerical simulation of turbulence

A deconvolution enhancement of the Navier-Stokes-alpha beta 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-alpha beta 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-alpha beta 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.

• 出版日期2012-6-1