Comparison of High Order Schemes for Large Eddy Simulation of Circular Cylinder Flow

This paper compares LES results of a cylinder flow with two sets of numerical schemes, two span lengths, and a coarse and refined mesh. One set of the numerical scheme is the 7th order WENO scheme for the inviscid fluxes and 6th order central differencing for the viscous terms (7-6), the other set is a 5th order WENO scheme with a 4th order central differencing(5-4). For this purpose, a fully conservative 6th-order central differencing for the viscous terms of compressible flows is developed. The new central differencing scheme uses the same stencil of the WENO scheme. No explicit subgrid scale models are used for the LES. The span length has a significant effect on the solution. The 5-4 scheme agrees better with the experiment with the span length of 1D and coarse mesh, whereas the 7-6 scheme performs better at the refined mesh with the span length of πD. However, both schemes have poorer results with the span length of πD.