On increasing the accuracy of MacCormack schemes for aeroacoustic applications

Hixon, Ray

doi:10.2514/6.1997-1586

Cited by 49 publications

(37 citation statements)

References 11 publications

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“…This method has been previously tested and found to be accurate and stable for unsteady problems. 15 The advantage of the LDDRK 4-6 method is that the optimization used reduces the error from one to three orders of magnitude for a given time step compared to the classical fourth-order accurate Runge-Kutta scheme.…”

Section: Iid Time Marching Schemementioning

confidence: 99%

Implementation of a High-Order Finite Difference Scheme to Model Wave Propagation

Rona

Spisso

2007

13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)

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The large disparity between the time and length scales of an acoustically active flow field, and the ones of the resulting generated acoustic field, is an issue in computational aeroacoustics (CAA). Numerical schemes used to calculate the time and space derivatives in CAA should exhibit a low dispersion and dissipation error. This paper presents the implementation of a high-order finite difference scheme to model CAA problems. The numerical scheme consists of a sixth-order prefactored compact scheme coupled with the 4-6 Low Dispersion and Dissipation Runge-Kutta (LDDRK) time marching scheme. Onesided explicit boundary stencils are implemented and a buffer zone is used to eliminate spurious numerical waves. Results are in good agreement with a 1-D advection equation benchmark problem. This constitutes a preliminary validation for the scheme to explore and investigate the acoustic propagation of sound generated aerodynamically.

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Section: Iid Time Marching Schemementioning

confidence: 99%

Implementation of a High-Order Finite Difference Scheme to Model Wave Propagation

Rona

Spisso

2007

13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference)

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“…Numerical Discretization MacCormack type schemes developed by Hixon (1997) with operator splitting are used for the numerical discretization. The operators are applied in the following symmetric way:…”

Section: Governing Equationsmentioning

confidence: 99%

“…It has been extended to sixth-order spatial accuracy by Bayliss (1985). A new family of MacCormack schemes has been developed by Hixon (1997) to increase the accuracy of 2-4 scheme and to minimize the dispersion error. In addition, the accuracy of the time integration for these schemes is increased to fourth order using Runge Kutta method.…”

Section: Introductionmentioning

confidence: 99%

Recent Advances in DNS and LES. Proceedings of the Second AFOSR International Conference on DNS and LES Held at Rutgers - The State University of New Jersey, New Brunswick, New Jersey on June 7-9, 1999

Knight¹,

Sakell²

1999

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“…Recently, a new class of high-accuracy explicit MacCormack-type schemes has been introduced for computational aeroacoustics [9,10]. We extend this methodology to compact schemes, resulting in a class of highly accurate compact MacCormack-type schemes which use one-sided implicit stencils.…”

Section: Introductionmentioning

confidence: 99%