Temporal Large-Eddy Simulation

In 1999, Stolz and Adams [Phys. Fluids 11 (1999)] unveiled a subgrid-scale model for LES based upon approximately inverting (defiltering) the spatial grid-filter operator and termed .the approximate deconvolution model (ADM). Subsequently, the utility and accuracy of the ADM were demonstrated in a postenon analyses of flows as diverse as incompressible planechannel flow and supersonic compression-ramp flow. In a prelude to the current paper, a parameterized temporal ADM (TADM) was developed and demonstrated in both a priori and a postemon analyses for forced, viscous Burger's flow. The development of a timefiltered variant of the ADM was motivated-prirpitrily by the desire for a umfymg theoretical and computational cont t to encompass' direct numerical simulation (DNS), large-eddy simulation (LES), and Reynolds averaged Navier-Stokes simulation (RANS). The resultant methodology was termed tempord LES (TLES). To permit exploration of the parameter space, however, previous analyses of the TADM were restricted to Burger's flow, and it has remained to demonstrate the TADM and TLES methodology for three-dimensional flow. For several reasons, plane-channel flow presents an ideal test case for the TADM. Among these reasons, channel flow is anisotropic, ds itself to highly efficient and accurate spectral numerical methods. Moreover, ch ow has been investigated extensively by DNS, and a highly accurate data base of . [Phys. Fluids 11 (1999)] exists. In the present paper, we develop a fully anisotropic TADM model and demonstrate its utility in simulating incompressible plane-channel flow at nominal values of Re, = 180 and Re, = 590 by the TLES method. The TADM model is shown to perform nearly as well as the ADM at equivalent resolution, thereby establishing TLES as a viable alternative to LES. Moreover, as the current model is suboptimal is some respects, there is considerable room to improve TLES. ,