Numerical solution of single and multi‐phase internal transonic flow problems

This paper presents numerical methods for solving turbulent and two‐phase transonic flow problems. The Navier–Stokes equations are solved using cell‐vertex Lax–Wendroff method with artificial dissipation or cell‐centred upwind method with Roe's Riemann solver and linear reconstruction. Due to a big difference of time scales in two‐phase flow of condensing steam a fractional step method is used. Test cases including 2D condensing flow in a nozzle and one‐phase transonic flow in a turbine cascade with transition to turbulence are presented. Copyright © 2005 John Wiley & Sons, Ltd.