Mixed Jameson/Total-Variation-Diminishing Scheme Applied to Simulating Rotor Airfoil Flowfield

摘要

WITH the rapid development of computational technology, numerical simulation by solving classical governing equations of fluid dynamics is playing a more and more important role in air vehicle aerodynamics, specifically in rotorcraft aerodynamics . To date, various computational methods have been investigated, and the finite volume central differential scheme created by Jameson et al. has been demonstrated to be a robust method and has been widely used in computational rotor aerodynamics. More recently, many high-resolution schemes are emerging, for example, the total-variation-diminishing (TVD) scheme is a representative one. In this Note, a classical rotor airfoil (NACA0012) has been chosen as the example to demonstrate the flexibility of a mixed Jameson/ TVD scheme in computational rotor aerodynamics. At first, Jameson's finite volume central differential scheme is implemented to solve the Euler equations describing the flowfield around the airfoil just mentioned. Then, a mixed Jameson/TVD scheme is constructed by correcting artificial viscous terms to capture the position of the shock wave more precisely. Also, for the first time this scheme is used to solve the Euler equations for the simulation of the flowfield around a rotor airfoil. Additionally, with regard to the Euler equations' deficiency in reflecting viscous effects, Jameson's scheme is applied to solve the turbulent Navier-Stokes (N-S) equations, which is a good start for further numerical calculation of helicopter rotor drag force and power.