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SENSITIVITY OF A NEW VELOCITY/PRESSURE-GRADIENT MODEL TO THE REYNOLDS NUMBER

Svetlana V. Poroseva
School of Computational Science, Florida State University Tallahassee 32306-4120, USA; Department of Mechanical Engineering University of New Mexico Albuquerque, New Mexico, 87131-0001, U.S.A.

Scott M. Murman
NASA Ames Research Center Mountain View, California, 94035, U.S.A.

Sinopsis

The paper presents results of validation of a new model for velocity/pressure-gradient correlations in planar wall-bounded incompressible turbulent flows. The model belongs to a class of data-driven models and was obtained from the analysis of direct numerical simulation (DNS) data collected in a fully developed channel flow at Reτ = 392. It includes only the terms originally present in the transport equations for the Reynolds stresses. In the paper, sensitivity of the model coefficients to the flow Reynolds number and geometry is tested using three other DNS databases, with the Reynolds numbers, Reτ and Reθ, varying from 392 to 5200 in a fully developed channel flow and from 300 to 6500 in a zero-pressure-gradient boundary-layer over a flat plate, respectively. In addition, the model is validated using DNS data in a strained channel flow at eight strain times including those that cause the flow to separate. It is demonstrated that no tuning of the model coefficients is required to accurately reproduce the behaviour of velocity/pressure-gradient correlations right to the wall in all considered flows.