在两层均质恒定深度的海洋中主动操纵亥姆霍兹标量场

IF 1.1 4区工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY

Inverse Problems in Science and Engineering Pub Date : 2021-05-09 DOI:10.1080/17415977.2021.1918688

N. J. A. Egarguin, D. Onofrei, Chaoxian Qi, Jiefu Chen

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引用次数: 1

摘要

在这项工作中，我们证明了在由两个均匀的恒定深度层组成的海洋中，使用嵌入其中一层的表面源来主动控制声场的可能性。对于每一层的有界控制区域上的一类规定场，我们证明了声源(声压或法向速度)上存在边界输入，使传播场近似于规定场。此外，我们还提供了一个建设性的方案，使用基于Morozov差异原则的Tikhonov正则化方案来找到所需的边界输入。几个数值模拟也提供了支持我们的分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Active manipulation of Helmholtz scalar fields in an ocean of two homogeneous layers of constant depth

In this work, we prove the possibility of actively controlling the acoustic field in an ocean consisting of two homogeneous layers of constant depth using a surface source embedded in one of the layers. For a class of prescribed fields on some bounded control regions in either layer, we show the existence of a boundary input on the source, either acoustic pressure or normal velocity so that the propagated field approximates the prescribed fields. Also, we provide a constructive scheme to find the required boundary input using a Morozov discrepancy principle-based Tikhonov regularization scheme. Several numerical simulations are also provided to support our analyses.

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来源期刊

Inverse Problems in Science and Engineering 工程技术-工程：综合

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Inverse Problems in Science and Engineering provides an international forum for the discussion of conceptual ideas and methods for the practical solution of applied inverse problems. The Journal aims to address the needs of practising engineers, mathematicians and researchers and to serve as a focal point for the quick communication of ideas. Papers must provide several non-trivial examples of practical applications. Multidisciplinary applied papers are particularly welcome. Topics include: -Shape design: determination of shape, size and location of domains (shape identification or optimization in acoustics, aerodynamics, electromagnets, etc; detection of voids and cracks). -Material properties: determination of physical properties of media. -Boundary values/initial values: identification of the proper boundary conditions and/or initial conditions (tomographic problems involving X-rays, ultrasonics, optics, thermal sources etc; determination of thermal, stress/strain, electromagnetic, fluid flow etc. boundary conditions on inaccessible boundaries; determination of initial chemical composition, etc.). -Forces and sources: determination of the unknown external forces or inputs acting on a domain (structural dynamic modification and reconstruction) and internal concentrated and distributed sources/sinks (sources of heat, noise, electromagnetic radiation, etc.). -Governing equations: inference of analytic forms of partial and/or integral equations governing the variation of measured field quantities.