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Abstract
A direct numerical simulation (DNS) of a channel flow with one curved surface was performed at moderate Reynolds number (Re τ = 395 at the inlet). The adverse pressure gradient was obtained by a wall curvature through a mathematical mapping from physical coordinates to Cartesian ones. The code, using spectral spanwise and normal discretization, combines the advantage of a good accuracy with a fast integration procedure compared to standard numerical procedures for complex geometries. The turbulent flow slightly separates on the profile at the lower curved wall and is at the onset of separation at the opposite flat wall. The thin separation bubble is characterized with a reversal flow fraction. Intense vortices are generated not only near the separation line on the lower wall but also at the upper wall. Turbulent normal stresses and kinetic energy budget are investigated along the channel.
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Acknowledgments
Half of the simulations have been performed on IBM SP4 at IDRIS (CNRS Computing Facility, France) and the other half has been simulated with 128 processors of IBM SP5 at CRIHAN (Centre de Ressource en Informatique de Haute Normandie, France). This work was performed under the WALLTURB project. WALLTURB (A European synergy for the assessment of wall turbulence) is funded by the CEC under the 6th framework program (CONTRACT # AST4-CT-2005-516008). We thank Dr. C. Braud and Prof. M. Stanislas for fruitful discussions and for their valuable comments on the manuscript.