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A nonlinear harmonic balance solver for an implicit CFD code: OVERFLOW 2

Posted on:2010-05-17Degree:Ph.DType:Dissertation
University:Duke UniversityCandidate:Custer, Chad HFull Text:PDF
GTID:1442390002485146Subject:Engineering
Abstract/Summary:
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.
Keywords/Search Tags:OVERFLOW, Harmonic balance, Overset grids, Solver, Nonlinear, Implicit
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