论文标题

基于间接边界元素方法的浅水的3D声学传播模型

A 3D acoustic propagation model for shallow waters based on an indirect Boundary Element Method

论文作者

Lavia, Edmundo F., Gonzalez, Juan D., Blanc, Silvia

论文摘要

这项工作的目的是双重的:(a)介绍基于边界元素方法(BEM)的3D声学传播模型的理论表述,该模型使用半空间绿色函数来代替更常规的自由空间绿色功能,并且(b)显示一个数值实施,旨在探索简单的理想验证案例的构图,以提供必不可少的效果,并提供了一个必要的参数,并提供了一些参数,并提供了一定的参数,并提供了一定的参数。半空间绿色的函数以前已用于散射和衍射,在不改变其连续性属性的情况下为整体运算符的通常表达式增加了术语。对北极波导的验证表明,该模型允许对声场进行充分的预测。同样,与必要的网格尺寸相关的数值探索,以描述水衬界界面的描述,可以得出结论,可以通过在所需的评估区域使用有界网格来获得具有可接受精度的TL预测。

The purpose of this work is twofold: (a) To present the theoretical formulation of a 3D acoustic propagation model based on a Boundary Element Method (BEM), which uses a half-space Green function in place of the more conventional free-space Green function and (b) to show a numerical implementation aimed to explore the formulation in simple idealized cases --controlled by a few parameters--, and provides necessary tests for the accuracy and performance of the model. The half-space Green's function, which has been used previously in scattering and diffraction, adds terms to the usual expressions of the integral operators without altering their continuity properties. Verifications against the Pekeris waveguide suggest that the model allows an adequately prediction for the acoustic field. Likewise, numerical explorations in relation to the necessary mesh size for the description of the water-sediment interface allow us to conclude that a TL prediction with acceptable accuracy can be obtained with the use of a bounded mesh around the desired evaluation region.

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