电邮这篇文章 Accounting for viscous and thermal effects in time in computational problems of acoustics
- 作者: Korolkov А.I.1, Laptev A.Y.2, Shanin A.V.2
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隶属关系:
- University of Manchester
- Lomonosov Moscow State University
- 期: 卷 70, 编号 6 (2024)
- 页面: 933-940
- 栏目: ОБРАБОТКА АКУСТИЧЕСКИХ СИГНАЛОВ. КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ
- URL: https://ogarev-online.ru/0320-7919/article/view/277587
- DOI: https://doi.org/10.31857/S0320791924060113
- EDN: https://elibrary.ru/JTHHTK
- ID: 277587
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详细
The problem of acoustic wave propagation with thermoviscous boundary conditions is studied. For thermoviscous boundary conditions, a time-dependent formulation is presented 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, the results of numerical modeling are compared with the analytical solution.
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作者简介
А. Korolkov
University of Manchester
Email: laptev97@bk.ru
英国, Oxford Road, Manchester, M13 9PL
A. Laptev
Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: laptev97@bk.ru
俄罗斯联邦, Leninskie Gory, Moscow, GSP-1, 119991
A. Shanin
Lomonosov Moscow State University
Email: laptev97@bk.ru
俄罗斯联邦, Leninskie Gory, Moscow, GSP-1, 119991
参考
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