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Burnett, David S.; Holford, Richard L.

An ellipsoidal acoustic infinite element. (English) Zbl 0962.76045

Comput. Methods Appl. Mech. Eng. 164, No. 1-2, 49-76 (1998).
From the summary: We present the development of an ellipsoidal infinite element, which is based on a multipole expansion as well as on a system of ellipsoidal coordinates. The element stiffness, radiation-damping and mass matrices are developed and presented in sufficient detail to enable their software implementation. Both the new coordinate system and the new element include the spheroidal coordinate systems and spheroidal elements as limiting cases. The element may be used to model problems in free-space (\(4\pi\) steradians), half-space \((2\pi)\), quater-space \((\pi)\) or eighth-space \((\pi/2)\). Since this infinite element provides maximum computational efficiency for structures of all shapes, software element libraries would need only this one element for all problems in unbounded domains.

Cited in 28 Documents

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76Q05 Hydro- and aero-acoustics

Keywords:

ellipsoidal infinite element; multipole expansion; system of ellipsoidal coordinates

Software:

Mathematica
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Full Text: DOI

References:

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