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A numerical method for low Mach number compressible flows by simultaneous relaxation of dependent variables
https://iwate-u.repo.nii.ac.jp/records/2001172
https://iwate-u.repo.nii.ac.jp/records/200117215293256-1e89-4d49-9692-c3088e573944
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
arxiv-2502.08116v1.pdf (2.4 MB)
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| アイテムタイプ | 学術雑誌論文 / Journal Article(1) | |||||||||
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| 公開日 | 2025-09-19 | |||||||||
| タイトル | ||||||||||
| タイトル | A numerical method for low Mach number compressible flows by simultaneous relaxation of dependent variables | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Low Mach number | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Conservative property | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Incompressible flow | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Compressible flow | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Finite difference method | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | article | |||||||||
| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 著者 |
YANAOKA, Hideki
× YANAOKA, Hideki （著）
× SATO, Yuji （著）
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| 登録日 | ||||||||||
| 日付 | 2025-09-19 | |||||||||
| 日付タイプ | Created | |||||||||
| 書誌情報 |
en : arXiv 発行日 2025-02-12 |
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| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | Density varies spatiotemporally in low Mach number flows. Hence, incompressibility cannot be assumed, and the density must be accurately solved. Various methods have been proposed to analyze low Mach number flows, but their energy conservation properties have not been investigated in detail. This study proposes a new method for simultaneously relaxing velocity, pressure, density, and internal energy using a conservative finite difference scheme with excellent energy conservation properties to analyze low Mach number flows. In the analysis for sound wave propagation in an inviscid compressible flow, the amplitude amplification ratio and frequency of sound wave obtained by this numerical method agree well with the theoretical values. In the analysis for a three-dimensional periodic inviscid compressible flow, each total amount for the momentum, total energy, and entropy are discretely conserved. When no approximation, such as low Mach number approximations, is applied to the fundamental equations, the excellent conservation properties of momentum, total energy, and entropy are achieved. In decaying compressible isotropic turbulence, this computational method can capture turbulence fluctuations. Analyzing the Taylor–Green decaying vortex, we confirmed the validity of this computational scheme for compressible viscous flows. In the calculation for the natural convection in a cavity, the validity of this numerical method was presented even in incompressible flows considering density variation. In a three-dimensional Taylor decaying vortex problem, it was shown that this numerical method can accurately calculate incompressible flows. We clarified the accuracy and validity of the present numerical method by analyzing various flow models and demonstrated the possibility of applying this method to complex flow fields. | |||||||||
| 言語 | en | |||||||||
| 出版者 | ||||||||||
| 出版者 | Cornell University | |||||||||
| 言語 | en | |||||||||
| DOI | ||||||||||
| 関連タイプ | isIdenticalTo | |||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | https://doi.org/10.48550/arXiv.2502.08116 | |||||||||
| 著者版フラグ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
