A direct imaging method for an inverse fluid–solid interaction scattering problem

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-28 DOI:10.1016/j.cnsns.2025.108869

Tielei Zhu , Zhihao Ge , Bangmin Wu

引用次数: 0

Abstract

We investigate the potential application of the reverse time migration (RTM) method for reconstructing a bounded elastic body immersed in an unbounded fluid under acoustic wave excitation. Imaging functions are derived based on far-field or near-field data of the scattered field, considering both plane wave and point source incident waves. We perform resolution analysis for the proposed RTM imaging functions and establish connections between them. Finally, numerical experiments are conducted to validate the effectiveness of the proposed RTM imaging functions.

查看原文本刊更多论文

流固相互作用逆散射问题的直接成像方法

我们研究了逆时偏移（RTM）方法在声波激励下重建沉浸在无界流体中的有界弹性体的潜在应用。基于散射场的远场或近场数据推导成像函数，同时考虑平面波和点源入射波。我们对提出的RTM成像函数进行了分辨率分析，并建立了它们之间的联系。最后，通过数值实验验证了所提RTM成像函数的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.