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Three-Dimensional Unsteady Multi-stage Turbomachinery Simulations using the Harmonic

Summary: Three-Dimensional Unsteady Multi-stage
Turbomachinery Simulations using the Harmonic
Balance Technique
Arathi K. Gopinath
, Edwin van der Weide
, Juan J. Alonso
, Antony Jameson§
Stanford University, Stanford, CA 94305-4035
Kivanc Ekici¶
and Kenneth C. Hall
Duke University, Durham, NC 27708-0300
In this paper, we propose an extension of the Harmonic Balance method for three-
dimensional, unsteady, multi-stage turbomachinery problems modeled by the Unsteady
Reynolds-Averaged Navier-Stokes (URANS) equations. This time-domain algorithm sim-
ulates the true geometry of the turbomachine (with the exact blade counts) using only one
blade passage per blade row, thus leading to drastic savings in both CPU and memory
requirements. Modified periodic boundary conditions are applied on the upper and lower
boundaries of the single passage in order to account for the lack of a common periodic
interval for each blade row. The solution algorithm allows each blade row to resolve a
specified set of frequencies in order to obtain the desired computation accuracy; typically,


Source: Alonso, Juan J. - Department of Aeronautics and Astronautics, Stanford University


Collections: Engineering