Rotor-Stator Interaction Analysis Using the Navier–Stokes Equations and a Multigrid Method

[+] Author and Article Information
A. Arnone

Department of Energy Engineering, University of Florence, Florence, Italy

R. Pacciani

Institute of Energetics, University of Perugia, Perugia, Italy

J. Turbomach 118(4), 679-689 (Oct 01, 1996) (11 pages) doi:10.1115/1.2840923 History: Received February 13, 1995; Online January 29, 2008


A recently developed, time-accurate multigrid viscous solver has been extended to the analysis of unsteady rotor–stator interaction. In the proposed method, a fully implicit time discretization is used to remove stability limitations. By means of a dual time-stepping approach, a four-stage Runge–Kutta scheme is used in conjunction with several accelerating techniques typical of steady-state solvers, instead of traditional time-expensive factorizations. The accelerating strategies include local time stepping, residual smoothing, and multigrid. Two-dimensional viscous calculations of unsteady rotor–stator interaction in the first stage of a modern gas turbine are presented. The stage analysis is based on the introduction of several blade passages to approximate the stator:rotor count ratio. Particular attention is dedicated to grid dependency in space and time as well as to the influence of the number of blades included in the calculations.

Copyright © 1996 by The American Society of Mechanical Engineers
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