Compact Schemes with Spatial Filtering in Computational Aeroacoustics

Koutsavdis, Evangelos; Blaisdell, Gregory A.; Lyrintzis, Anastasios S.

doi:10.2514/2.1016

Cited by 22 publications

(8 citation statements)

References 9 publications

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“…The dispersion-relation-preserving (DRP) scheme has been used in the jet-noise predictions by Bogey and Bailly ([2]- [4]). The high-order compact scheme has been used in the work of Bodony and Lele ( [5]), and Lyrintzis and co-workers ( [6]). It has been noted that the above-mentioned high-order schemes are suitable only for subsonic jet flows.…”

Section: Introductionmentioning

confidence: 99%

Performance of WENO Scheme in Generalized Curvilinear Coordinate Systems

Cai

Ladeinde

2008

46th AIAA Aerospace Sciences Meeting and Exhibit

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The weighted-essentially non-oscillatory (WENO) schemes have been used to calculate the shock-embedded compressible fluid flow ([9]). The potential high-fidelity qualities of this approach make it attractive for jet noise simulation. However, in its present form, the WENO procedure has many drawbacks that prevent direct applications to jet noise simulations. In this paper, various WENO procedures are evaluated in generalized curvilinear coordinate systems. In addition, freestream preservation and boundary treatment are discussed. It has been verified in this paper that the original WENO procedure drafted by Jiang and Shu ([9]) is too dissipative for shock/entropy wave interactions. It has also been found that the ghost-point boundary treatment suggested in [9] does not perform well for shock-boundary interaction problems and more general problems with solid walls. Furthermore, it is demonstrated that the modifications suggested by Martin et al. ([11], [12]) are susceptible to numerical oscillations in non-homogeneous compressible flows. A modified WENO scheme that is more robust and less dissipative is proposed and tested in this paper.

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Section: Introductionmentioning

confidence: 99%

Performance of WENO Scheme in Generalized Curvilinear Coordinate Systems

Cai

Ladeinde

2008

46th AIAA Aerospace Sciences Meeting and Exhibit

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“…and̃′ ′ −1 is calculated with the explicit scheme given by Equation (16). A symmetric operation is implemented for i = N k and i = N k + 1.…”

Section: Second Derivativementioning

confidence: 99%

“…Lele 7 then presented a detailed analysis of compact schemes up to fourth derivatives, including their boundary closures. The small stencil and spectral-like resolution of compact schemes are highly desirable in CFD methods with structured meshes, 8 especially for direct numerical simulation (DNS) [9][10][11][12] or large-eddy simulation 13,14 of turbulence and computational aeroacoustics, [15][16][17][18] in which small-scale flow structures need to be resolved. Compact schemes have advantages regarding high accuracy, small truncation error, low dissipation, and a compact stencil.…”

Section: Introductionmentioning

confidence: 99%

An improved parallel compact scheme for domain‐decoupled simulation of turbulence

Fang

Gao

Moulinec

et al. 2019

Numerical Methods in Fluids

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Summary An improved domain‐decoupled compact scheme for first and second spatial derivatives is proposed for domain‐decomposition‐based parallel computational fluid dynamics. The method improves the accuracy of previously developed decoupled schemes and preserves the accuracy and bandwidth properties of fully coupled compact schemes, even for a very large degree of parallelism, and enables the Navier‐Stokes equations to be solved independently on each processor. The scheme is analysed using Fourier analysis and error analysis, and tested on one‐dimensional wave‐packet propagation, a two‐dimensional vortex convection problem, and in the direct numerical simulation of the three‐dimensional Taylor‐Green vortex problem and turbulent channel flow. Our results demonstrate the scheme's effectiveness in performing direct numerical simulation of turbulence in terms of accuracy and scalability.

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“…For the purpose of comparison, a large uniform grid was also considered. The solutions were initialized at t = 0 by prescribing a pressure disturbance of the form In the absence of a high-frequency cutoff mechanism (designed to completely annihiliate odd-even modes), a large number of grid points would be required [15] if a constant mesh spacing had to be carried all the way to the far field boundaries.…”

Section: Two-dimensional Pulsementioning

confidence: 99%

A New Flexible Global Positioning System (GPS) Constellation Sustainment Strategy

Goldstein¹

2003

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Compact Schemes with Spatial Filtering in Computational Aeroacoustics

Cited by 22 publications

References 9 publications

Performance of WENO Scheme in Generalized Curvilinear Coordinate Systems

Performance of WENO Scheme in Generalized Curvilinear Coordinate Systems

An improved parallel compact scheme for domain‐decoupled simulation of turbulence

A New Flexible Global Positioning System (GPS) Constellation Sustainment Strategy

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