An application of a second order upwinding scheme for an implicit les CFD solver

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Conference Proceeding
Proceedings of the 16th Australasian Fluid Mechanics Conference, 16AFMC, 2007, pp. 1071 - 1078
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The flow past a right square cylinder in a duct at a Reynolds number of 22 × 10 3 has been employed to validate the use of second order upwinding, instead of a subgrid model in a largeeddy simulation. In this extensively studied problem, all the numerical work has been based on a simplifying assumption that the square cylinder is infinite, which resulted in all previous workers using cyclic boundary conditions so as to reduce the required domain size. It is not clear how the size of the domain had been established and, therefore, whether it was sufficiently large to adequately represent the experimental flow in a duct. The integral quantities of the drag and lift coefficient and the Strouhal number, converged towards the experimental values as the grid resolution is increased. However, the cyclic boundary condition assumption leads to a flow width that provides too small a region of uncorrelated flow. A model of the full duct case, identical to experimental domain, was used to contrast the cyclic domain results. Surprisingly the second order upwind model generates power spectra that appear to correctly capture the energy cascade down to the inertial and viscous ranges.
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