超薄涂层/衬底结构声场分析的边界元框架

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-08-28 DOI:10.1016/j.aml.2025.109743

Haodong Ma , Qiang Wang , Wenzhen Qu

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引用次数: 0

摘要

提出了一种用于超薄涂层/衬底结构中二维声场高精度分析的边界元方法。本文首次将尺度坐标变换（SCT）方法扩展到声学分析中，实现了超薄涂层体系中稳定、高效的域积分评估，而无需进行域离散化。边界元分别应用于超薄涂层和基底，生成基于材料特定基本解的边界积分方程，并通过界面条件强制连续性。该BEM框架为模拟纳米尺度声场提供了一种潜在的替代方案，解决了传统数值方法在精度上的局限性。通过对COMSOL Multiphysics的分析解决方案和结果进行基准测试，进行了全面的验证。

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A BEM framework for acoustic field analysis in ultra-thin coating/substrate structures

This paper presents an advanced boundary element method (BEM) for high-precision analysis of two-dimensional acoustic fields in ultra-thin coating/substrate structures. The scaled coordinate transformation (SCT) method is first extended to acoustic analysis, enabling stable and efficient evaluation of domain integrals in ultra-thin coating systems without requiring domain discretization. The BEM is applied separately to the ultra-thin coating and substrate, generating boundary integral equations based on material-specific fundamental solutions, with continuity enforced through interface conditions. This BEM framework offers a potential alternative for modeling nanoscale acoustic fields, addressing the limitations in accuracy encountered by traditional numerical approaches. A comprehensive validation is performed by benchmarking against analytical solutions and results obtained by the COMSOL Multiphysics.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.