Application of Compact-Reconstruction Weighted Essentially Nonoscillatory Schemes to Compressible Aerodynamic Flows

Compact-reconstruction weighted essentially nonoscillatory schemes have lower dissipation and dispersion errors as well as higher spectral resolution than weighted essentially nonoscillatory schemes of the same order of convergence. Numerical experiments on benchmark inviscid flow problems have demonstrated improvements in the resolution and preservation of flow features such as vortices, discontinuities, and small-length-scale waves. This paper describes the integration of these schemes with a compressible, unsteady, Reynolds-averaged Navier–Stokes solver and demonstrates their performance for two- and three-dimensional flow problems. The schemes are validated and verified for domains discretized by curvilinear and overset grids. Several flow examples demonstrate improvements in the resolution of boundary-layer and wake-flow features for solutions obtained by the compact-reconstruction weighted essentially nonoscillatory schemes. The results presented indicate that these schemes are well suited to aerody...

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