High-Order Essentially Nonoscillatory Schemes for Rotary-Wing Wake Computations

Abstract

The use of fifth-seventh-order spatially accurate, essentially non-oscillatory (ENO) schemes for capturing vortices using Euler/Navier‐Stokes equations is discussed. These schemes are constructed to minimize numerical dissipation and are evaluated for their application to flowfields laden with vorticity. The fifth-order ENO scheme is compared with a commonly used third-order MUSCL scheme for a two-bladed rotor in hover. Based on the results, the fifthand seventh-order ENO schemes are evaluated for their ability to convect a vortex generated from a wing tip. The relative merits of these schemes for capturing vortex wakes arising from wings and rotor blades are summarized.