用于计算空气声学有限体积方案的极快高阶通量重建技术

IF 8.7 2区 工程技术 Q1 Mathematics
Luis Ramírez, Javier Fernández-Fidalgo, José París, Michael Deligant, Sofiane Khelladi, Xesús Nogueira
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引用次数: 0

摘要

鉴于航空声学问题中涉及的声波波长小、频率范围广,使用非常精确的低耗散数值方案是准确捕捉这些现象的唯一有效选择。然而,随着方案阶数的增加,计算时间也在增加。在这项工作中,我们提出了一种新的线性问题有限体积(FV)方案框架下的高阶通量重构。特别是,它被应用于求解线性化欧拉方程,该方程在计算航空声学领域得到了广泛应用。这种新的重构非常高效,非常适合在单元边缘/面需要计算高阶通量积分的高阶 FV 方案中使用。我们通过不同的基准测试案例来分析所提出的通量重建的准确性和效率。随着阶数的增加,所提出的方法在保持精度的同时,计算时间也相对大幅减少。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

A very fast high-order flux reconstruction for Finite Volume schemes for Computational Aeroacoustics

A very fast high-order flux reconstruction for Finite Volume schemes for Computational Aeroacoustics

Given the small wavelengths and wide range of frequencies of the acoustic waves involved in Aeroacoustics problems, the use of very accurate, low-dissipative numerical schemes is the only valid option to accurately capture these phenomena. However, as the order of the scheme increases, the computational time also increases. In this work, we propose a new high-order flux reconstruction in the framework of finite volume (FV) schemes for linear problems. In particular, it is applied to solve the Linearized Euler Equations, which are widely used in the field of Computational Aeroacoustics. This new reconstruction is very efficient and well suited in the context of very high-order FV schemes, where the computation of high-order flux integrals are needed at cell edges/faces. Different benchmark test cases are carried out to analyze the accuracy and the efficiency of the proposed flux reconstruction. The proposed methodology preserves the accuracy while the computational time relatively reduces drastically as the order increases.

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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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