Partially-Averaged Navier-Stokes Formulation of Two-Layer Turbulence Model
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2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved. Partially-averaged Navier-Stokes (PANS) is a scale-resolving simulation (SRS) method wherein the filter-width is specified in terms of the unresolved to total kinetic energy and dissipation ratios. The objective of the present study is to develop a two-layer PANS closure for improved near-wall simulation capability. In the RANS context, the two-layer turbulence model displays superior near-wall behavior compared to other closures of similar order. Our goal is to transfer these near-wall closure advantages to PANS-SRS model. The outer region in the two-layer model is a PANS k- turbulence model. The inner layer solves an unresolved kinetic energy equation and the eddy viscosity and dissipation are specified in terms of unresolved kinetic energy and length scales. The proposed model is evaluated in a turbulent channel flow of friction Reynolds number Re = 590. Comparison with DNS data demonstrates that two-layer PANS is an accurate and robust SRS approach.