Optimised boundary compact finite difference schemes for computational aeroacoustics
Optimised boundary compact finite difference schemes for computational aeroacoustics
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.
compact schemes, boundary closure, optimisation, computational aeroacoustics
995-1019
Kim, J.W.
fedabfc6-312c-40fd-b0c1-7b4a3ca80987
1 July 2007
Kim, J.W.
fedabfc6-312c-40fd-b0c1-7b4a3ca80987
Kim, J.W.
(2007)
Optimised boundary compact finite difference schemes for computational aeroacoustics.
Journal of Computational Physics, 225 (1), .
(doi:10.1016/j.jcp.2007.01.008).
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.
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Published date: 1 July 2007
Keywords:
compact schemes, boundary closure, optimisation, computational aeroacoustics
Organisations:
Aerodynamics & Flight Mechanics
Identifiers
Local EPrints ID: 47019
URI: http://eprints.soton.ac.uk/id/eprint/47019
ISSN: 0021-9991
PURE UUID: 3c9b0b42-97eb-4b97-a862-fdceb584af7e
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Date deposited: 20 Jul 2007
Last modified: 16 Mar 2024 03:42
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