Abstract
A high-order numerical method is described for performing large-eddy simulations (LESs) of supersonic flowfields. Spatial derivatives are represented by a compact stencil that is used in conjunction with a tenth-order non-dispersive filter. The scheme employs a time-implicit approximately-factored finite-difference algorithm, and applies Newton-like subiterations to achieve second-order temporal and sixth-order spatial accuracy. Details of the method are summarized and LESs are carried out for a spatially evolving supersonic turbulent boundary layer. Two different subgrid-scale models are incorporated in the simulations to account for the spatially under-resolved stresses and heat flux. Comparisons are made between the respective computations, as well as with available experimental data and with previous numerical results.
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