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.

Issue Section:
Research Papers
Topics:
Navier-Stokes equations, Rotors, Stators, Blades, Gas turbines, Spacetime, Stability, Steady state
1.
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Viscous Analysis of Three-Dimensional Rotor Flows Using a Multigrid Method
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14.
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15.
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16.
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17.
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18.
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20.
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