Abstract
Abstract The paper deals with modelling of transonic flows past a profile or through a cascade. The system of governing equations is the system of the Euler or Navier-Stokes equations. Numerical solution is based on finite volume form and MacCormack or multistep Runge-Kutta difference scheme (cell centered form) or Ron-Ho-Ni difference scheme (cell vertex form). Several numerical solutions of the steady transonic flows modelling inviscid flows through a 2D cascade or viscous flows past NACA 0012 are presented. The results are compared to experimental results or other numerical results. Next two types of modifications of the governing system of 2D Euler equations and its numerical solution are described. In this way certain three-dimensional phenomena are modelled.
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