NUMERICAL EXPERIMENTS WITH 2D AND 3D TRANSONIC FLOWS

1.Mathematical models 2.Turbulence models 3.Numerical methods 4.Formulation of the problems 5.Numerical results 6.ConclusionsThis work deals with the development of numerical methods for simulation of transonic flows of an inviscid and a viscous (turbulent) compressible fluid in a two- and three-dimensional channel and in the DCA 8% cascade. Results of numerical experiments modelling the inviscid and viscous flows at the different inlet Mach numbers are compared and discussed. The numerical solution was obtained by the finite volume method using Lax-Wendroff scheme (Mac Cormack\u27s and Richtmyer\u27s form) and the multistage Runge-Kutta method on structured non-orthogonal grids. Jameson\u27s artificial dissipation was added to increase of the numerical stability. In the case of inviscid flows two different inlet boundary conditions are considered. For turbulence modelling algebraic Baldwin-Lomax model and two equations k − ω model were applied