0
Research Papers

Profiled End Wall Design Using an Adjoint Navier–Stokes Solver

[+] Author and Article Information
Roque Corral1

Head of Technology and Methods Department, Industria de TurboPropulsores S.A., 28830 Madrid, SpainRoque.Corral@itp.es

Fernando Gisbert

School of Aeronautics, UPM, 28040 Madrid, SpainFernando.Gisbert@itp.es

1

Also associate professor at the Department of Propulsion and Thermofluid Dynamics of the School of Aeronautics, UPM.

J. Turbomach 130(2), 021011 (Mar 21, 2008) (8 pages) doi:10.1115/1.2751143 History: Received July 28, 2006; Revised July 31, 2006; Published March 21, 2008

A methodology to minimize blade secondary losses by modifying turbine end walls is presented. The optimization is addressed using a gradient-based method, where the computation of the gradient is performed using an adjoint code and the secondary kinetic energy is used as a cost function. The adjoint code is implemented on the basis of the discrete formulation of a parallel multigrid unstructured mesh Navier–Stokes solver. The results of the optimization of two end walls of a low-pressure turbine row are shown.

Copyright © 2008 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Detail of an end-wall design

Grahic Jump Location
Figure 2

Sensitivity of the lift coefficient to the stagger angle, T106 blade (Mis,exit=0.59)

Grahic Jump Location
Figure 3

Comparison of the convergence history of the T106 case for the nonlinear and adjoint solvers

Grahic Jump Location
Figure 4

Secondary flow pattern for a 3D straight cascade. Left: Total pressure ISO contours. Right: Mass-averaged nondimensional SKEH distribution.

Grahic Jump Location
Figure 5

Comparison of the baseline, optimized solution and manual design cases: Mass-averaged nondimensional SKEH at the outlet for the single harmonic case

Grahic Jump Location
Figure 6

Comparison of the baseline, optimized solution and manual design cases: Mass-averaged swirl angle at the outlet for the single harmonic case

Grahic Jump Location
Figure 7

Comparison of the baseline, optimized solution and manual design cases: Mass-averaged nondimensional total pressure at the outlet for the single harmonic case

Grahic Jump Location
Figure 8

Detail of the hub boundary layer flow migration for the single harmonic case. (a): Axisymmetric, (b): Optimized solution, and (c): Manual design.

Grahic Jump Location
Figure 9

Isolines (solid positive and dotted negative) of the hub surface perturbation (a) and comparison of the baseline and optimized nondimensional pressure distribution on the blade-hub intersection (b), for the single harmonic case (a), and for the manual design (b)

Grahic Jump Location
Figure 10

Comparison of the baseline and optimized mass-averaged nondimensional SKEH at the outlet for the multiple harmonic case

Grahic Jump Location
Figure 11

Comparison of the baseline and optimized mass-averaged swirl angle at the outlet for the multiple harmonic case

Grahic Jump Location
Figure 12

Comparison of the baseline and optimized mass-averaged nondimensional total pressure at the outlet for the multiple harmonic case

Grahic Jump Location
Figure 13

Isolines (solid positive and dotted negative) of the hub surface perturbation (top) and comparison of the baseline and optimized nondimensional pressure distribution on the blade-hub intersection (bottom) for the multiple harmonic case

Grahic Jump Location
Figure 14

Detail of the hub boundary layer flow migration for the multiple harmonic case

Grahic Jump Location
Figure 15

Detail of the adjoint solution in the boundary layer region for the multiple harmonic case

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In