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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v26.i1.10
pages 1-16

Direct Simulation of Low-Reynolds Number Supersonic Wall-Shear Layers I: Mean Flow and One-Point Correlations

Ferhat F. Hatay
University of Colorado at Boulder, Boulder, Colorado 80309 ; University of Miami, Coral Gables, FL 33124, USA
Sedat Biringen
University of Colorado at Boulder, Boulder, Colorado 80309

ABSTRACT

In the present work, a high-speed, wall-shear layer flow in the low-Reynolds-number regime is investigated using the Direct Numerical Simulation (DNS) approach. For this purpose, the three-dimensional, time-dependent, compressible Navier-Stokes equations are numerically integrated by high-order finite-difference methods; no modeling for turbulence is used because the available resolution is sufficient to capture the relevant scales at this Reynolds number. The DNS approach provides a viable means to probe the physics of low-Reynolds number incipient turbulence in compressible flows especially in the near-wall region where measuring difficulties prohibit a detailed experimental description of the flow.
In this paper, the mean flow, root-mean-square, and Fourier power spectrum distributions are presented and parameters that govern the dynamical and computational aspects of the problem are discussed. The analyses of the higher order turbulence statistics such as Reynolds stress budgets and two-point correlations are presented in a companion paper.


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