TY - JOUR AB - Purpose– This paper aims to provide a validation of a state‐of‐the‐art methodology for computing three‐dimensional transitional flows in turbomachinery.Design/methodology/approach– The Reynolds‐averaged Navier‐Stokes equations for compressible flows are solved. Turbulence is modeled using an explicit algebraic stress model and k−ω turbulence closure. A numerical method has been developed, based on a cell‐centered finite volume approach with Roe's approximate Riemann solver and formally second‐order‐accurate MUSCL extrapolation. The method is validated versus two severe test cases, namely, the subsonic flow through a turbine cascade with separated‐flow transition; and the transonic flow through a compressor cascade with transitional boundary layers, shock‐induced separation and corner stall. For the first test case, the transition model of Mayle for separated flow has been employed, whereas, for the second one, the transition has been modeled employing the Abu‐Ghannam and Shaw correlation.Findings– The comparison of numerical results with the experimental data available in the literature shows that, for such complex flow configurations, an improved numerical solution could be achieved by employing transition models. Unfortunately, the available models are case‐dependent, each of them being suitable for specific applications.Originality/value– A state‐of‐the‐art numerical methodology has been developed and applied to compute very complex flows in turbomachinery. Through an original analysis of the results, the merits and limits of the considered approach have been assessed. The paper points up the fundamental role of transition modeling for turbomachinery flow simulations. VL - 16 IS - 4 SN - 0961-5539 DO - 10.1108/09615530610653118 UR - https://doi.org/10.1108/09615530610653118 AU - De Palma P. PY - 2006 Y1 - 2006/01/01 TI - Numerical simulations of three‐dimensional transitional compressible flows in turbomachinery cascades T2 - International Journal of Numerical Methods for Heat & Fluid Flow PB - Emerald Group Publishing Limited SP - 509 EP - 529 Y2 - 2024/04/19 ER -