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A Nonlinear Harmonic Balance Solver for an Implicit CFD Code: OVERFLOW 2

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Date
2009
Author
Custer, Chad H.
Advisors
Dowell, Earl H
Thomas, Jeffrey P
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Abstract

A National Aeronautics and Space Administration computational fluid dynamics code, OVERFLOW 2, was modified to utilize a harmonic balance solution method. This modification allows for the direct calculation of the nonlinear frequency-domain solution of a periodic, unsteady flow while avoiding the time consuming calculation of long physical transients that arise in aeroelastic applications.

With the usual implementation of this harmonic balance method, converting an implicit flow solver from a time marching solution method to a harmonic balance solution method results in an unstable numerical scheme. However, a relatively simple and computationally inexpensive stabilization technique has been developed and is utilized. With this stabilization technique, it is possible to convert an existing implicit time-domain solver to a nonlinear frequency-domain method with minimal modifications to the existing code.

This new frequency-domain version of OVERFLOW 2 utilizes the many features of the original code, such as various discretization methods and several turbulence models. The use of Chimera overset grids in OVERFLOW 2 requires care when implemented in the frequency-domain. This research presents a harmonic balance version of OVERFLOW 2 that is capable of solving on overset grids for sufficiently small unsteady amplitudes.

Type
Dissertation
Department
Mechanical Engineering and Materials Science
Subject
Engineering, Mechanical
Engineering, Aerospace
CFD
Harmonic Balance
Overset Grids
Permalink
https://hdl.handle.net/10161/1347
Citation
Custer, Chad H. (2009). A Nonlinear Harmonic Balance Solver for an Implicit CFD Code: OVERFLOW 2. Dissertation, Duke University. Retrieved from https://hdl.handle.net/10161/1347.
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This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 United States License.

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