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Application of low dissipation and dispersion Runge-Kutta schemes to benchmark problems in computational aeroacousticsWe investigate accurate and efficient time advancing methods for computational aeroacoustics, where non-dissipative and non-dispersive properties are of critical importance. Our analysis pertains to the application of Runge-Kutta methods to high-order finite difference discretization. In many CFD applications, multi-stage Runge-Kutta schemes have often been favored for their low storage requirements and relatively large stability limits. For computing acoustic waves, however, the stability consideration alone is not sufficient, since the Runge-Kutta schemes entail both dissipation and dispersion errors. The time step is now limited by the tolerable dissipation and dispersion errors in the computation. In the present paper, it is shown that if the traditional Runge-Kutta schemes are used for time advancing in acoustic problems, time steps greatly smaller than that allowed by the stability limit are necessary. Low Dissipation and Dispersion Runge-Kutta (LDDRK) schemes are proposed, based on an optimization that minimizes the dissipation and dispersion errors for wave propagation. Optimizations of both single-step and two-step alternating schemes are considered. The proposed LDDRK schemes are remarkably more efficient than the classical Runge-Kutta schemes for acoustic computations. Numerical results of each Category of the Benchmark Problems are presented. Moreover, low storage implementations of the optimized schemes are discussed. Special issues of implementing numerical boundary conditions in the LDDRK schemes are also addressed.
Document ID
19950023718
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hu, F. Q.
(Old Dominion Univ. Norfolk, VA, United States)
Hussaini, M. Y.
(Institute for Computer Applications in Science and Engineering Hampton, VA., United States)
Manthey, J.
(Old Dominion Univ. Norfolk, VA, United States)
Date Acquired
September 6, 2013
Publication Date
May 1, 1995
Publication Information
Publication: NASA. Langley Research Center, ICASE(LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA) p 73-98 (SEE N95-30133 10-71)
Subject Category
Acoustics
Accession Number
95N30139
Funding Number(s)
CONTRACT_GRANT: NAS1-19480
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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