Assessment of a High-Order High-Resolution ESWENO-P Scheme for AVI/BVI Problems

In the present study, two- and three-dimensional blade-vortex interaction problems were assessed by employing a Reynolds-averaged Navier–Stokes computational fluid dynamics solver based on mixed meshes. The meshes consisted of an unstructured near-body region and a Cartesian off-body region. To capture vortices with high resolution, WENO family schemes were used for computing inviscid fluxes on the Cartesian meshes. For the unstructured meshes, Roe’s flux difference splitting scheme was employed to compute inviscid fluxes. The resolution of the WENO family schemes was compared in terms of pressure coefficient distributions. It was found that, compared to the existing WENO family schemes, the ESWENO-P scheme is more stable and consistently resolves the airfoil/blade-vortex interaction problems with higher resolution.