RESEARCH ARTICLE


A Robust Solution Procedure for the Transonic Small-Disturbance Equation in Fluid-Structure Interactions



T.M. van Opstal*, 1, S.J. Hulshoff 2, C.V. Verhoosel3
1 Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
2 Faculty of Aerospace Engineering, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, The Netherlands
3 Institute for Computational Engineering & Sciences, The University of Texas at Austin, 1 University Station C0200 Austin, Texas 78712, USA


© 2011 van Opstal et al.

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands; Tel: +31 (0)40 247 2271; Fax: +31 (0)40 247 5399; E-mail: t.m.v.opstal@tue.nl


Abstract

A simple and robust discretization of the Low Frequency Transonic Small Disturbance (LF-TSD) equation is presented, suitable for applications such as fluid-structure interaction (FSI). Choices in the derivation and discretization of the LF-TSD equation are justified and the performance of the scheme is demonstrated for a typical nonlinear FSI problem.

Keywords: Fluid-structure interaction, transonic small-disturbance equation, finite differences, panel problem, divergence, flutter, limit cycle oscillation.