Calculation of three-dimensional unsteady flows in turbomachinery using the linearized harmonic Euler equations

Journal Article · Fri Oct 01 04:00:00 EDT 1993 · Journal of Turbomachinery; (United States)

DOI:https://doi.org/10.1115/1.2929318· OSTI ID:5901034

Hall, K C; Lorence, C B ^[1]

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1. Duke Univ., Durham, NC (United States). Dept. of Mechanical Engineering and Materials Science

An efficient three-dimensional Euler analysis of unsteady flows in turbomachinery is presented. The unsteady flow is modeled as the sun of a steady or mean flow field plus a harmonically varying small perturbation flow. The linearized Euler equations, which describe the small perturbation unsteady flow, are found to be linear, variable coefficient differential equations whose coefficients depend on the mean flow. A pseudo-time time-marching finite-volume Lax-Wendroff scheme is used to discretize and solve the linearized equations for the unknown perturbation flow quantities. Local time stepping and multiple-grid acceleration techniques are used to speed convergence. For unsteady flow problems involving blade motion, a harmonically deforming computational grid, which conforms to the motion of the vibrating blades, is used to eliminate large error-producing extrapolation terms that would otherwise appear in the airfoil surface boundary conditions and in the evaluation of the unsteady surface pressure. Results are presented for both linear and annular cascade geometries, and for the latter, both rotating and nonrotating blade row.

• OSTI ID: 5901034
• Journal Information: Journal of Turbomachinery; (United States), Journal Name: Journal of Turbomachinery; (United States) Vol. 115:4; ISSN JOTUEI; ISSN 0889-504X
• Country of Publication: United States
• Language: English

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