Evaluation of some coupled algorithms for large eddy simulation of turbulent flow using a dynamic SGS model

On the large eddy simulation of a turbulent channel flow with significant heat transfer

“…The procedure has been successfully tested on incompressible turbulent flows including the channel and square-duct. 10 The method is fully implicit, second-order accurate in time, while advective terms are discretized with third-order upwinding and viscous terms with fourth-order central-differencing. For flows in the low Mach number regime, it is well known that the NS equations become stiff and the time step is mainly governed by the acoustic wave speed, making the computation extremely expensive.…”

“…5,6 In particular, the dynamic eddy viscosity model of Germano et al 7 has proven to be successful in flows with more complicated geometries. [8][9][10] But to the authors' knowledge, the only LES involving heat transfer in channel flow performed to date is that of Cabot and Moin 11 using the passive scalar approach. To further extend the LES applicability, it was therefore used in the present investigation to study turbulent flow in a channel with significant heat transfer using a compressible version of the dynamic model developed by Moin et al 12 The present paper is concerned with a very low Mach number flow of an ideal gas subjected to significant heat transfer causing a density variation up to a factor of 3.…”

Large eddy simulation of compressible turbulent channel and annular pipe flows with system and wall rotations

“…where G is the test filter. In this work, the test filter was two times larger than the filter function G. The dynamic model for this research was based on Wang's (1995) derivation. By use of Lilly's (1992) approach, the unknown parameters, Cd, and Cj can be determined as…”

“…Another advantage is that it directly applies the conservation laws to the physical system. Much of development of the present finite volume method follows that of Wang (1995) and Dailey et al (2003).…”

Large eddy simulation of compressible turbulent pipe flow with heat transfer

“…Although finite volume methods for LES have been appeared recently, most of them are incompressible formulations. For example, they have been used to simulate homogeneous, isotropic decaying turbulence by Vreman et al (1992), lid driven cavity flows by Zang et al (1993), turbulent flow around a circular cylinder by Mittal (1996), planar channel and rectangular duct flows by Wang and Fletcher (1995), and planar channel flows with rib roughened walls by Yang and Ferziger (1993). The compressible finite volume formulations are less common in LES.…”