Stabilization of explicit flow solvers using a proper-orthogonal- decomposition technique
Conference Paper
A new numerical technique for the stabilization of explicit computational-fluid-dynamic solvers is presented. When using computational-fluid-dynamic codes to solve practical problems one sometimes finds the solution fails to converge due to the presence of a small number of eigenvalues of the flow solver outside the unit circle. In this paper we use the proper orthogonal decomposition technique to estimate the unstable eigenvalues and eigenmodes of the flow solver as the solution diverges for linear problems or exhibits limit-cycle oscillations for nonlinear problems. We use the resulting eigeninformation to construct a preconditioner that repositions the unstable eigenvalues from outside the unit circle to a point inside the unit circle close to the origin resulting in a stable flow solver. In this work the proposed method is applied to a nonlinear steady cascade solver. However, the technique can be easily applied to external flow solvers and to unsteady frequency-domain (time-linearized and harmonic-balance) flow solvers. Copyright © 2012 by Kivanc Ekici, Kenneth C. Hall, Huang Huang and Jeffrey P. Thomas. Published by the American Institute of Aeronautics and Astronautics, Inc.
Full Text
Duke Authors
Cited Authors
- Ekici, K; Hall, KC; Huang, H; Thomas, JP
Published Date
- May 1, 2013
Published In
Volume / Issue
- 51 / 5
Start / End Page
- 1095 - 1104
International Standard Serial Number (ISSN)
- 0001-1452
Digital Object Identifier (DOI)
- 10.2514/1.J051945
Citation Source
- Scopus