1097-0363/asset/FLD_left.gif?v=1&s=acdf92c67291aadb6aee12c67965913ef3672990)
Research Article
A numerical method for inverse design based on the inverse Euler equations
Article first published online: 3 JAN 2003
DOI: 10.1002/fld.439
Copyright © 2003 John Wiley & Sons, Ltd.
Issue
1097-0363/asset/cover.gif?v=1&s=4f4c032b9f06da7e1e8ac4e112013c5bf916f2e7 "International Journal for Numerical Methods in Fluids")
International Journal for Numerical Methods in Fluids
Volume 41, Issue 4, pages 339–355, 10 February 2003
Additional Information
How to Cite
Scascighini, A., Troxler, A. and Jeltsch, R. (2003), A numerical method for inverse design based on the inverse Euler equations. Int. J. Numer. Meth. Fluids, 41: 339–355. doi: 10.1002/fld.439
Publication History
- Issue published online: 3 JAN 2003
- Article first published online: 3 JAN 2003
- Manuscript Revised: 10 AUG 2002
- Manuscript Received: SEP 2001
Funded by
- Alstom Power (Switzerland) Ltd. Grant Number: 4571.1 KTS
- Commission for Technology and Innovation (KTI). Grant Number: 4571.1 KTS
- Abstract
- References
- Cited By
Keywords:
- inverse Euler equations;
- inverse design;
- target-pressure-problem;
- internal flows;
- quasi-three-dimensional (Q3D);
- distributed loss model
Abstract
We present a numerical method for the inverse shape design of internal flows based on the inverse Euler equations (Keller JJ, Physics of Fluids 1999; 11 and Zeitschrift für Angewandte Mathematik und Physik 1998; 49). We describe an efficient numerical method based on a finite difference discretization and on a Newton–Krylov solver. After showing that the three-dimensional (3D) inverse Euler equations hold only for complex lamellar flows, we extend the basic axis-symmetric flow model to handle viscous effects by means of a distributed loss model and to handle quasi-3D effects by deriving a quasi-3D formulation of the inverse Euler equations from the passage averaged 3D Euler equations. The coupling of the 2D inverse Euler equations with an integral boundary layer method is presented too. Copyright © 2003 John Wiley & Sons, Ltd.