边界条件变化时箱体内声传播的数学建模

A. V. Sinitsa, Yu. A. Tskhay, A. К. Ukassova, A. Capsoni
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引用次数: 0

摘要

声学特性的登记和封闭空间的听觉化变得越来越重要。在当今世界,在设计或翻新歌剧院、教堂和音乐厅等历史建筑时,为了保护原始声学特性,模拟声音传播是很重要的。在我们的文章中,我们考虑声波在内部三维非固定区域的传播过程,即音乐厅声学的建模。为此,根据给定的输入参数、初始条件和边界条件,确定给定区域内一段时间内的声压分布函数。在计算过程中,我们利用计算平台实现了有限元法,并以显式格式为例实现了有限差分法。在数值结果的基础上,总结了封闭空间听觉化方法的有效性,并对方法的优化和使用进行了阐述。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
MATHEMATICAL MODELING OF ACOUSTIC PROPOGATION THROUGH AURALIZATION TECHNIQUES INSIDE ENCLOSERS WITH VARIATION OF BOUNDARY CONDITIONS
Registration of acoustic properties and auralization of enclosed spaces is becoming increasingly important. In today's world, when designing or renovating historic buildings such as opera houses, churches and concert halls, it is important to simulate sound propagation in order to preserve the original acoustic properties. In our article, we consider the process of propagation of a sound wave in an internal three-dimensional non-stationary area, namely, the modeling of acoustics in a concert hall. To do this, according to the given input parameters, initial and boundary conditions, the distribution function of sound pressure in a given area over a period of time was determined. In the course of calculations, we use a computing platform to implement the finite element method, as well as the finite difference method using an explicit scheme as an example. On the basis of numerical results, we draw conclusions about the effectiveness of closed space auralization methods, and also describe aspects of optimization and use of methods.
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