SUMMARYThis paper presents numerical methods for solving turbulent and two-phase transonic ow problems. The Navier-Stokes equations are solved using cell-vertex Lax-Wendro method with artiÿcial dissipation or cell-centred upwind method with Roe's Riemann solver and linear reconstruction. Due to a big di erence of time scales in two-phase ow of condensing steam a fractional step method is used. Test cases including 2D condensing ow in a nozzle and one-phase transonic ow in a turbine cascade with transition to turbulence are presented.
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