A numerical solution procedure for the ensemble-averaged compressible time-dependent Navier-Stokes equations is applied to the transonic cascade flow field. The equations are solved by the consistently split linearized block implicit (LBI) method of Briley and McDonald. Boundary conditions are set so as to specify upstream total pressure and downstream static pressure. Turbulence is modeled by a mixing length model. Predictions are made for flow through a Jose Sanz controlled diffusion cascade and the method yields converged solutions within a relatively small number of time steps (≈ 150). Although to date comparisons with data have not been made, the results show the expected cascade flow field features.
Application of a Navier-Stokes Analysis to Transonic Cascade Flow Fields
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Shamroth, SJ, McDonald, H, & Briley, WR. "Application of a Navier-Stokes Analysis to Transonic Cascade Flow Fields." Proceedings of the ASME 1982 International Gas Turbine Conference and Exhibit. Volume 1: Turbomachinery. London, England. April 18–22, 1982. V001T01A080. ASME. https://doi.org/10.1115/82-GT-235
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