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首页> 外文期刊>The Journal of the Acoustical Society of America >On a time domain boundary integral equation formulation for acoustic scattering by rigid bodies in uniform mean flow
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On a time domain boundary integral equation formulation for acoustic scattering by rigid bodies in uniform mean flow

机译：在均匀平均流动中刚体声散射的时域边界整体方程配方

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摘要

It has been well-known that under the assumption of a uniform mean flow, the acoustic wave propagation equation can be formulated as a boundary integral equation. However, the constant mean flow assumption, while convenient for formulating the integral equation, does not satisfy the solid wall boundary condition wherever the body surface is not aligned with the assumed uniform flow. A customary boundary condition for rigid surfaces is that the normal acoustic velocity be zero. In this paper, a careful study of the acoustic energy conservation equation is presented that shows such a boundary condition would in fact lead to source or sink points on solid surfaces. An alternative solid wall boundary condition, termed zero energy flux boundary condition, is proposed that conserves the acoustic energy and a time domain boundary integral equation is derived. Furthermore, stabilization of the integral equation by Burton-Miller type reformulation is presented. The stability is studied theoretically as well as numerically by an eigenvalue analysis. Numerical solutions are also presented that demonstrate the stability of the current formulation. (C) 2017 Acoustical Society of America.
机译：众所周知，在均匀平均流动的假设下，声波传播方程可以配制为边界积分方程。然而，恒定的平均流动假设，同时便于配制整体方程，不满足于主体表面与假定的均匀流向对齐的实心壁边界条件。刚性表面的常规边界条件是正常声速度为零。在本文中，提出了一种仔细研究声节节能方程，其示出了这种边界条件实际上导致固体表面上的源极或沉积点。提出了一种替代的实心壁边界条件，称为零能量磁通边界条件，从而节省了声能和时域边界积分方程。此外，提出了Burton-Miller型重构的整体方程的稳定化。通过特征值分析理论上地研究稳定性。还提出了数值溶液，其证明了当前制剂的稳定性。 （c）2017年声学社会。

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