In this paper, the direct boundary element method is applied to acoustic radiation and scattering from mixed regular and thin bodies. A typical application problem involves a regular body with thin fins either attached to or in the neighborhood of the body. It is shown that the mixed-body integral formulation requires interactions between the conventional Helmholtz integral equation and the hypersingular thin-body integral equation. If at least one regular body is involved in a mixed-body environment, the direct integral formulation possesses the well-known nonuniqueness difficulty. This nonuniqueness difficulty is overcome by either the CHIEF method or the Burton and Miller method. Since both the thin-body integral equation and the Burton and Miller equation contain a hypersingular integral, a regularized form recently derived by Krishnasamy et al. [ASME J. Appl. Mech. 57, 404-414 (1990)] is adopted in this paper. Numerical results show excellent agreement with a multidomain boundary element solution and a point-source solution.
|Number of pages||8|
|Journal||Journal of the Acoustical Society of America|
|State||Published - Jan 1995|
ASJC Scopus subject areas
- Arts and Humanities (miscellaneous)
- Acoustics and Ultrasonics