Adaptive Harmonic Balance Solutions to Euler's Equation

A new adaptive harmonic balance method is presented and applied to a variety of subsonic and supersonic one-dimensional flowfields containing strong moving shocks. The adaptive method augments the frequency content in each cell as required to capture the local flow physics. Augmentation automaticall...

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Bibliographic Details
Published in:AIAA journal 2003-09, Vol.41 (9), p.1705-1714
Main Authors: Maple, Raymond C, King, Paul I, Oxley, Mark E
Format: Article
Language:English
Subjects:
Aerodynamics
Avionics
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Frequencies
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
Physics
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Summary:A new adaptive harmonic balance method is presented and applied to a variety of subsonic and supersonic one-dimensional flowfields containing strong moving shocks. The adaptive method augments 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 that cannot adequately resolve high-frequency terms. A study of the effect of augmentation thresholds, increments, and scheduling on the performance and accuracy of the adaptive method is presented, and optimal parameters identified. When optimal parameters are used, the new adaptive harmonic balance method produces solutions equivalent to a nonadapted harmonic balance solution, but with up to a 50% reduction in run time. [PERIODICAL ABSTRACT]
ISSN:0001-1452
1533-385X
DOI:10.2514/2.7316