publication . Other literature type . Article . Thesis . 1997

# Direct numerical simulation of turbulent flow over a backward-facing step

John Kim;
• Published: 10 Jan 1997
• Publisher: Cambridge University Press (CUP)
• Country: United Kingdom
Abstract
A three-dimensional, turbulent \ud flow in a channel with a sudden expansion\ud was studied by direct numerical simulation of the incompressible Navier-Stokes\ud equations. The objective of this study was to provide statistical data of backwardfacing\ud step \ud flow for turbulence modelling. Additionally, analysis of the statistical\ud and dynamical properties of the \ud flow is performed.\ud The Reynolds number of the main simulation was Reh = 9000, based on the\ud step height and mean inlet velocity, with the expansion ratio ER = 2:0. The discretisation\ud is performed using the spectral/hp element method with stiffly-stable\ud velocity correction scheme for ...
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics, Turbulence kinetic energy, Turbulence, Reynolds number, symbols.namesake, symbols, Boundary layer, Classical mechanics, Pipe flow, Strouhal number, Physics, Reynolds stress, Direct numerical simulation, QA
Related Organizations

1 Introduction 1 1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Survey of Previous Work . . . . . . . . . . . . . . . . . . . . . . . 3 1.2.1 Experimental Investigations . . . . . . . . . . . . . . . . . 3 1.2.2 First Numerical Experiments . . . . . . . . . . . . . . . . 9 1.2.3 Direct Numerical Simulations . . . . . . . . . . . . . . . . 10 1.3 Outline of the Thesis . . . . . . . . . . . . . . . . . . . . . . . . . 11

2 Numerical Methods 13 2.1 Governing Equations . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2 Geometry and Mesh . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.2.1 Domain de nition and boundary conditions . . . . . . . . 15

3 Code Validation and Preliminary Simulations 54 3.1 Code Validation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.2 Preliminary Simulations . . . . . . . . . . . . . . . . . . . . . . . 60 3.2.1 Turbulent channel ow simulation . . . . . . . . . . . . . . 60 3.2.2 Laminar in ow backward-facing step ow simulation . . . 63 Abbot, D.E. & Kline, S.J. (1962). Experimental investigations of subsonic turbulent ow over single and double backward-facing steps. Transactions of the ASME. Series D, Journal of Basic Engineering, 84.

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