
Publications [#281325] of Kenneth C. Hall
Papers Published
 Hall, KC; Lorence, CB, Calculation of threedimensional unsteady flows in turbomachinery using the linearized harmonic euler equations,
Journal of Turbomachinery, vol. 115 no. 4
(January, 1993),
pp. 800809, ASME International, ISBN 9780791878972 [doi]
(last updated on 2020/07/08)
Abstract: An efficient threedimensional Euler analysis of unsteady flows in turbomachinery is presented. The unsteady flow is modeled as the sum 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 pseudotime timemarching finitevolume LaxWendroff scheme is used to discretize and solve the linearized equations for the unknown perturbation flow quantities. Local time stepping and multiplegrid 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 errorproducing 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 rows. © 1993 ASME.
Keywords: Turbomachinery;Numerical analysis;Differential equations;Aerodynamics;
