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Numerical studies of conjugated infinite elements for acoustical radiation

Numerical studies of conjugated infinite elements for acoustical radiation
Numerical studies of conjugated infinite elements for acoustical radiation
Aspects of conjugated infinite element schemes for unbounded wave problems are reviewed and a general formulation is presented for elements of variable order based on separable shape functions expressed in terms of prolate and oblate spheroidal coordinates. The formulation encompasses both "conjugated Burnett" and "Astley–Leis" elements. The performance of the two approaches is compared for steady multipole wave fields and the effect of the radial basis on the condition number of the resulting equations is discussed. Transient formulations based on these elements are derived and methods for solving the resulting transient equations are discussed. The use of an implicit time stepping scheme coupled with an indirect iterative solver is shown to give fast transient solutions which do not require matrix inversion.
1-24
Astley, R.J.
4b0af3c5-9fc5-4f66-ac24-3a109c92e929
Hamilton, J.A.
aa3473b6-a0fe-46c6-9b38-98101d63be6b
Astley, R.J.
4b0af3c5-9fc5-4f66-ac24-3a109c92e929
Hamilton, J.A.
aa3473b6-a0fe-46c6-9b38-98101d63be6b

Astley, R.J. and Hamilton, J.A. (2000) Numerical studies of conjugated infinite elements for acoustical radiation. Journal of Computational Acoustics, 8 (1), 1-24. (doi:10.1142/S0218396X00000029).

Record type: Article

Abstract

Aspects of conjugated infinite element schemes for unbounded wave problems are reviewed and a general formulation is presented for elements of variable order based on separable shape functions expressed in terms of prolate and oblate spheroidal coordinates. The formulation encompasses both "conjugated Burnett" and "Astley–Leis" elements. The performance of the two approaches is compared for steady multipole wave fields and the effect of the radial basis on the condition number of the resulting equations is discussed. Transient formulations based on these elements are derived and methods for solving the resulting transient equations are discussed. The use of an implicit time stepping scheme coupled with an indirect iterative solver is shown to give fast transient solutions which do not require matrix inversion.

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Published date: 2000

Identifiers

Local EPrints ID: 10135
URI: http://eprints.soton.ac.uk/id/eprint/10135
PURE UUID: ee0cc1a6-fd9c-45f0-a26d-bf8649491431

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Date deposited: 05 May 2005
Last modified: 15 Jul 2019 19:37

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