Robustness and reliability of state-space, frame-based modeling for thermoacoustics

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2024-10-04 DOI:10.1016/j.jcp.2024.113472

Mathieu Cances , Luc Giraud , Michael Bauerheim , Laurent Gicquel , Franck Nicoud

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引用次数: 0

Abstract

The Galerkin modal expansion is a well-known method used to develop reduced order models for thermoacoustics. A known issue is the appearance of Gibbs-type oscillations on velocity fluctuations at the interface between subdomains and at boundary conditions. Recent work of Laurent et al. (2019) [20] and Laurent et al. (2021) [23] have shown that it is possible to overcome this issue by using an over-completed frame, instead of a Galerkin modal basis. However, the low-order modeling based on this frame modal expansion may generate spurious modes. In this paper, the origin of these non-physical modes is identified and a method is proposed to automatically remove them from the outcome. By preventing any interaction between the physical and non-physical components, the proposed methodology drastically improves the robustness and reliability of the frame modal expansion modeling for thermoacoustics.

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基于状态空间和框架的热声建模的鲁棒性和可靠性

Galerkin 模态展开是一种著名的方法，用于开发热声学的降阶模型。一个已知的问题是，在子域之间的界面和边界条件处的速度波动会出现吉布斯型振荡。Laurent 等人（2019 年）[20] 和 Laurent 等人（2021 年）[23] 的最新研究表明，可以通过使用超完成框架而不是 Galerkin 模态基础来克服这一问题。然而，基于这种框架模态展开的低阶建模可能会产生虚假模态。本文确定了这些非物理模态的来源，并提出了一种方法来自动从结果中去除这些模态。通过防止物理成分和非物理成分之间的相互作用，所提出的方法大大提高了热声框架模态展开建模的稳健性和可靠性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

期刊介绍： Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.