article

Optimised boundary compact finite difference schemes for computational aeroacoustics

Author:

Jae Wook KimAuthors Info & Claims

Journal of Computational Physics, Volume 225, Issue 1

Pages 995 - 1019

https://doi.org/10.1016/j.jcp.2007.01.008

Published: 01 July 2007 Publication History

Abstract

A set of optimised boundary closure schemes is presented for use with compact central finite difference schemes in computational aeroacoustics (CAA) involving non-trivial boundaries. The boundary schemes are given in a form of non-central compact finite differences. They maintain fourth-order accuracy, a pentadiagonal matrix system and seven-point stencil which the main interior scheme employs. This paper introduces a new strategy to optimise the boundary schemes in the spectral domain and achieve the best resolution characteristics given a strict tolerance for the dispersion and dissipation errors. The boundary schemes are derived from sophisticated extrapolation of solutions outside the domain. The extrapolation functions are devised by combining polynomials and trigonometric series which contain extra control variables used to optimise the resolution characteristics. The differencing coefficients of the boundary schemes are determined in association with the existing coefficients of the interior scheme which is also optimised through an improved procedure in this paper. The accuracy of the proposed schemes is demonstrated by their application to CAA benchmark problems.

References

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Kim, J.W. and Lee, D.J., Generalized characteristic boundary conditions for computational aeroacoustics. AIAA J. v38 i11. 2040

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Cited By

Wu LKim J(2024)Towards a genuinely stable boundary closure for pentadiagonal compact finite difference schemesJournal of Computational Physics10.1016/j.jcp.2024.112887504:COnline publication date: 1-May-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.112887
Sundaram PSengupta ASuman VSengupta T(2023)Non-overlapping High-accuracy Parallel Closure for Compact Schemes: Application in Multiphysics and Complex GeometryACM Transactions on Parallel Computing10.1145/358000510:1(1-28)Online publication date: 29-Mar-2023
https://dl.acm.org/doi/10.1145/3580005
Sundaram PSengupta ASengupta T(2022)A non-overlapping high accuracy parallel subdomain closure for compact schemeJournal of Computational Physics10.1016/j.jcp.2022.111593470:COnline publication date: 1-Dec-2022
https://dl.acm.org/doi/10.1016/j.jcp.2022.111593
Show More Cited By

Index Terms

Optimised boundary compact finite difference schemes for computational aeroacoustics
1. Applied computing
  1. Physical sciences and engineering
    1. Mathematics and statistics
    2. Physics
2. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
    2. Numerical analysis
      1. Computations on matrices

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cover image Journal of Computational Physics

Journal of Computational Physics Volume 225, Issue 1

July, 2007

1202 pages

ISSN:0021-9991

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Copyright © Elsevier Inc. © 2007.

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Academic Press Professional, Inc.

United States

Publication History

Published: 01 July 2007

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Cited By

Wu LKim J(2024)Towards a genuinely stable boundary closure for pentadiagonal compact finite difference schemesJournal of Computational Physics10.1016/j.jcp.2024.112887504:COnline publication date: 1-May-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.112887
Sundaram PSengupta ASuman VSengupta T(2023)Non-overlapping High-accuracy Parallel Closure for Compact Schemes: Application in Multiphysics and Complex GeometryACM Transactions on Parallel Computing10.1145/358000510:1(1-28)Online publication date: 29-Mar-2023
https://dl.acm.org/doi/10.1145/3580005
Sundaram PSengupta ASengupta T(2022)A non-overlapping high accuracy parallel subdomain closure for compact schemeJournal of Computational Physics10.1016/j.jcp.2022.111593470:COnline publication date: 1-Dec-2022
https://dl.acm.org/doi/10.1016/j.jcp.2022.111593
Sengupta TSundaram PSuman VBhaumik S(2020)A High Accuracy Preserving Parallel Algorithm for Compact Schemes for DNSACM Transactions on Parallel Computing10.1145/34180737:4(1-32)Online publication date: 16-Oct-2020
https://dl.acm.org/doi/10.1145/3418073
Jin YLiao FCai J(2020)Compact Schemes for Multiscale Flows with Cell-Centered Finite Difference MethodJournal of Scientific Computing10.1007/s10915-020-01314-w85:1Online publication date: 8-Oct-2020
https://dl.acm.org/doi/10.1007/s10915-020-01314-w
Fattah RAngland DZhang X(2016)A priori grid quality estimation for high-order finite differencingJournal of Computational Physics10.1016/j.jcp.2016.03.063315:C(629-643)Online publication date: 15-Jun-2016
https://dl.acm.org/doi/10.1016/j.jcp.2016.03.063
(2015)An advanced synthetic eddy method for the computation of aerofoil-turbulence interaction noiseJournal of Computational Physics10.1016/j.jcp.2015.01.039287:C(1-17)Online publication date: 15-Apr-2015
https://dl.acm.org/doi/10.1016/j.jcp.2015.01.039
Kim J(2013)Quasi-disjoint pentadiagonal matrix systems for the parallelization of compact finite-difference schemes and filtersJournal of Computational Physics10.1016/j.jcp.2013.01.046241(168-194)Online publication date: 1-May-2013
https://dl.acm.org/doi/10.1016/j.jcp.2013.01.046

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