Journal of Theoretical
and Applied Mechanics

35, 2, pp. 305-327, Warsaw 1997

Godunov-type schemes in the transonic flow calculations

Tadeusz Chmielniak, Włodzimierz Wróblewski
An explicit, time marching solvers for the calculation of the three dimensional Euler equations and two-dimensional compressible Navier-Stokes equations are described. The equations are discretized spatially by a node-centered finite volume formulation. To make the present approach robust, the inviscid fluxes at cell interfaces are evaluated using a high accurate TVD scheme based on the MUSCL-type technique with the Riemann solvers. The Baldwin-Lomax eddy-viscosity model for the turbulence calculation is used. The calculations are performed using ''C''-type and ''H''-type grids. The numerical results are reported, compared with experimental data and discussed.
Keywords: transonic flow; Euler and Navier-Stokes equations; upwind scheme; time-marching scheme