Numerical Solution of 2D and 3D Transonic Flows Over an Airfoil and a Wing

Abstract

This work presents results of numerical solution of transonic flows over 2D airfoils and 3D wings. Two different numerical methods were developed. The first method is based on Lax-Wendroff scheme of cell vertex type (central finite volume method). The second method is a multistage Runge-Kutta finite volume method that uses central second order scheme in the dissipative term and a central second order or upwind third order scheme in the convective term. The second method was used to solve 2D transonic turbulent flows with k-ω turbulent model over RAE 2822 airfoil and also 3D transonic inviscid flows over a wing or wing-body combination. In 2D case the numerical results were compared to well known experimental results and in 3D case of flow over a wing or wing-body combination the numerical results were compared with experimental results of Aeronautical Research and Test Institute (VZLÚ) in Prague-Letňany.