Adaptive harmonic balance method for nonlinear time-periodic flows

Authors:
Raymond C. Maple;Paul I. King;Paul D. Orkwis;J. Mitch Wolff
Affiliations:
Department of Aeronautics and Astronautics, Air Force Institute of Technology, AFITIENY, 2950 P. Street Bldg 640, Wright-Patterson, AFB OH;Department of Aeronautics and Astronautics, Air Force Institute of Technology, AFITIENY, 2950 P. Street Bldg 640, Wright-Patterson, AFB OH;Department of Aerospace Engineering and Engineering Mechanics, University of Cincinnati, Mail Location 70, Cincinnati, OH;Department of Mechanical and Materials Engineering, Wright State University, Dayton, OH
Venue:
Journal of Computational Physics
Year:
2004

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Abstract

An adaptive harmonic balance approach is developed and applied to a supersonic/subsonic diverging nozzle subject to unsteady periodic outflow conditions. The adaptive method minimizes the computational work required to obtain the harmonic balance solution by augmenting the frequency content in each cell as required to capture the local flow physics. Augmentation automatically adjusts with grid density, resulting in lower frequency content on coarse grids. The new adaptive harmonic balance method produces solutions equivalent to a non-adapted harmonic balance solutions, but with up to an 86% reduction in computational effort.