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Low-Dispersion Scheme for Nonlinear Acoustic Waves in Nonuniform FlowThe linear dispersion-relation-preserving scheme and its boundary conditions have been extended to the nonlinear Euler equations. This allowed computing, a nonuniform flowfield and a nonlinear acoustic wave propagation in such a medium, by the same scheme. By casting all the equations, boundary conditions, and the solution scheme in generalized curvilinear coordinates, the solutions were made possible for non-Cartesian domains and, for the better deployment of the grid points, nonuniform grid step sizes could be used. It has been tested for a number of simple initial-value and periodic-source problems. A simple demonstration of the difference between a linear and nonlinear propagation was conducted. The wall boundary condition, derived from the momentum equations and implemented through a pressure at a ghost point, and the radiation boundary condition, derived from the asymptotic solution to the Euler equations, have proven to be effective for the nonlinear equations and nonuniform flows. The nonreflective characteristic boundary conditions also have shown success but limited to the nonlinear waves in no mean flow, and failed for nonlinear waves in nonuniform flow.
Document ID
19970022174
Acquisition Source
Langley Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Baysal, Oktay
(Old Dominion Univ. Norfolk, VA United States)
Kaushik, Dinesh K.
(Old Dominion Univ. Norfolk, VA United States)
Idres, Moumen
(Old Dominion Univ. Norfolk, VA United States)
Date Acquired
August 17, 2013
Publication Date
June 1, 1997
Publication Information
Publication: An Investigation of High-Order Shock-Capturing Methods for Computational Aeroacoustics
Subject Category
Acoustics
Report/Patent Number
AIAA Paper 97-1582
Meeting Information
Meeting: Aeroacoustics
Location: Atlanta, GA
Country: United States
Start Date: May 12, 1997
End Date: May 14, 1997
Sponsors: National Oceanic and Atmospheric Administration, American Inst. of Aeronautics and Astronautics
Accession Number
97N22771
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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