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.
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