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A PRIORI ASSESSMENT OF ALGEBRAIC AND DIFFERENTIAL REYNOLDS-STRESS MODELS USING DNS DATABASE

J. Knoell
Fachgebiet Stromungslehre und Aerodynamik, Darmstadt University of Technology, Petersenstrasse 30, 64287 Darmstadt, Germany

Suad Jakirlic
Department of Mechanical Engineering Institute of Fluid Mechanics and Aerodynamics (SLA) / Center of Smart Interfaces (CSI) Technische Universitat Darmstadt Petersenstrasse 17, D-64287 Darmstadt, Germany

Kemal Hanjalic
Department of Physics, Novosibirsk State University (NSU), 1, Pirogov Str., Novosibirsk, 630090, Russia; Faculty of Applied Sciences, Delft University of Technology (TU Delft), Building 58, Van der Maasweg 9, 2629 HZ, Delft, The Netherlands

Abstrakt

We performed a comparative a priori examination of several algebraic and differential second-moment closure models (ASM and DSM) using the DNS database for three generic flows: fully developed channel flow (Moser et al., 1999), flow in an axially rotating pipe (Eggels et al., 1994 and Orlandi and Ebstein, 1999) and the flow over a backward-facing step (Le et al., 1997). First, the coefficient functions G(i) and the basis tensors in the algebraic expression for the Reynolds-stress tensor, as well as the stress components themselves, were evaluated and compared for several ASMs. Then, the model coefficients of the pressure-strain term in the DSM were deduced from the DNS database, and compared with different model proposals. Last, the term-by-term analysis of the pressure-strain and dissipation correlation for several DSMs were performed.