Mapped wave envelope elements for acoustical radiation and scattering
Mapped wave envelope elements for acoustical radiation and scattering
Wave envelope elements provide an alternative to boundary element methods for the solution of exterior wave problems. Applications to date have been to axisymmetric geometries and have involved the use of large, but finite, wave envelope meshes compatibly matched to denser, near field meshes of conventional elements. In the present paper the wave envelope idea is extended by the inclusion of an element mapping, taken directly from infinite element methodology, and by modifications to the residual formulation. Taken in conjunction, these two measures permit the outer boundary of the wave envelope region to be moved to infinity while preserving the boundedness of the acoustic mass and stiffness integrals. The present formulation is developed initially with reference to a simple one-dimensional model and is then applied in two and three dimensions. Comparisons between computed results and those obtained from analytic solutions, where applicable, and from boundary element codes demonstrate the effectiveness of the method.
97-118
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Macaulay, G.J.
ecb90d79-b284-4f8f-b54d-87ae9b368c48
Coyette, J.P.
3e12542e-64a5-4198-a528-0bad21d4a3d3
10 February 1994
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Macaulay, G.J.
ecb90d79-b284-4f8f-b54d-87ae9b368c48
Coyette, J.P.
3e12542e-64a5-4198-a528-0bad21d4a3d3
Astley, R.J., Macaulay, G.J. and Coyette, J.P.
(1994)
Mapped wave envelope elements for acoustical radiation and scattering.
Journal of Sound and Vibration, 170 (1), .
(doi:10.1006/jsvi.1994.1048).
Abstract
Wave envelope elements provide an alternative to boundary element methods for the solution of exterior wave problems. Applications to date have been to axisymmetric geometries and have involved the use of large, but finite, wave envelope meshes compatibly matched to denser, near field meshes of conventional elements. In the present paper the wave envelope idea is extended by the inclusion of an element mapping, taken directly from infinite element methodology, and by modifications to the residual formulation. Taken in conjunction, these two measures permit the outer boundary of the wave envelope region to be moved to infinity while preserving the boundedness of the acoustic mass and stiffness integrals. The present formulation is developed initially with reference to a simple one-dimensional model and is then applied in two and three dimensions. Comparisons between computed results and those obtained from analytic solutions, where applicable, and from boundary element codes demonstrate the effectiveness of the method.
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Published date: 10 February 1994
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Local EPrints ID: 166487
URI: http://eprints.soton.ac.uk/id/eprint/166487
ISSN: 0022-460X
PURE UUID: 3d5e85ec-59cf-4ee9-abdc-88926680d0a3
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Date deposited: 29 Oct 2010 07:56
Last modified: 14 Mar 2024 02:13
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Author:
G.J. Macaulay
Author:
J.P. Coyette
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