On the “mapped spheroidal” infinite element for unbounded wave problems
- Release Time:2025-04-30
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2025-04-30Title of Paper:
On the “mapped spheroidal” infinite element for unbounded wave problemsJournal:
ICCM 2004, 15-17 DECEMBER 2004, SingaporeSummary:
The geometry mapping and shape function used in the ‘mapped spheroidal’ infinite
element [R.J. Astley (1998), Mapped spheroidal wave-envelope elements
for unbounded wave problems. International Journal for Numerical Methods in
Engineering, 41, pp. 1235–54 ] are investigated. The geometry mapping in the
confocal spheroidal coordinate systemwhen generating the infinite elements has a
disadvantage that a line segment in the Cartesian coordinate system will generally
be mapped to a very complicated function, and thereby leads to complex domain
integration over the infinite element. In this paper comparative study for the
‘mapped spheroidal’ infinite element and the generalized infinite element [L.X.
Li et al. (in press), A generalized infinite element for acoustic radiation. ASME
Journal of Vibration and Acoustics] is conducted. The conclusion is drawn that
both advantages of Astley element and Burnett element iswell incorporated in the
generalized infinite element, whereas the ‘mapped spheroidal’ infinite element
seems to be of minor interest.Co-author:
Luxian Li, et alTranslation or Not:
NoDate of Publication:
2004-10-06
