计算声学问题中粘滞和热效应的时域计算

IF 0.9 4区物理与天体物理 Q4 ACOUSTICS

Acoustical Physics Pub Date : 2025-03-07 DOI:10.1134/S106377102460311X

A. I. Korolkov, A. Yu. Laptev, A. V. Shanin

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引用次数: 0

摘要

研究了热粘性边界条件下的声波传播问题。对于热粘性边界条件，基于分数阶导数的概念，给出了时域公式。给出了该问题的弱形式，用有限元法将其简化为volterra型积分-微分方程组。构造了该系统数值解的隐式有限差分格式。为了验证这一点，对细管内的声传播问题进行了数值模拟，并将数值模拟结果与解析解进行了比较

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Accounting for Viscous and Thermal Effects in Time Domain in Computational Acoustic Problems

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Accounting for Viscous and Thermal Effects in Time Domain in Computational Acoustic Problems

The problem of acoustic wave propagation with thermoviscous boundary conditions is studied. For thermoviscous boundary conditions, a time-domain formulation is formulated based on the concept of a fractional derivative. A weak formulation of the problem is given, which is reduced to a system of Volterra-type integro-differential equations using the finite element method. An implicit finite-difference scheme is constructed for the numerical solution of this system. To verify it, the problem of sound propagation in a thin pipe is modeled, and the results of numerical modeling are compared with the analytical solution

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来源期刊

Acoustical Physics 物理-声学

CiteScore

1.60

自引率

50.00%

发文量

审稿时长

3.5 months

期刊介绍： Acoustical Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It covers theoretical and experimental aspects of basic and applied acoustics: classical problems of linear acoustics and wave theory; nonlinear acoustics; physical acoustics; ocean acoustics and hydroacoustics; atmospheric and aeroacoustics; acoustics of structurally inhomogeneous solids; geological acoustics; acoustical ecology, noise and vibration; chamber acoustics, musical acoustics; acoustic signals processing, computer simulations; acoustics of living systems, biomedical acoustics; physical principles of engineering acoustics. The journal publishes critical reviews, original articles, short communications, and letters to the editor. It covers theoretical and experimental aspects of basic and applied acoustics. The journal welcomes manuscripts from all countries in the English or Russian language.