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.
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机译：本文将直接边界元方法应用于混合规则体和薄体的声辐射和散射。一个典型的应用问题涉及一个规则的身体，该规则的身体上附着有薄鳍或附着在身体附近。结果表明，混合体积分公式需要常规亥姆霍兹积分方程和超奇异薄体积分方程之间的相互作用。如果至少一个规则的主体参与混合体环境，则直接积分公式将具有众所周知的非唯一性困难。这种非唯一性困难可以通过CHIEF方法或Burton and Miller方法来克服。由于薄体积分方程和Burton和Miller方程都包含一个超奇异积分，因此Krishnasamy等人最近导出了一种正则化形式。 [ASME J. Appl。机甲57，404–414（1990）]被采用。数值结果表明，该方法与多域边界元解决方案和点源解决方案具有很好的一致性。
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