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タイトル: | Statistical laws of a one-dimensional model of turbulent flows subject to an external random force |
著者: | Tsuji, Yuta Sakajo, Takashi https://orcid.org/0000-0002-4290-0942 (unconfirmed) |
著者名の別形: | 辻, 裕太 坂上, 貴之 |
発行日: | 29-Jun-2023 |
出版者: | IOP Publishing |
誌名: | Nonlinearity |
巻: | 36 |
号: | 8 |
開始ページ: | 4283 |
終了ページ: | 4302 |
抄録: | This paper provides mathematical and numerical analysis of a one-dimensional model of turbulent flow generating the anomalous cascade of the inviscid conserved quantity. The model is based on the generalized Constantin–Lax–Majda–DeGregorio (gCLMG) equation with viscous dissipation under a large-scale forcing. Suppose that the forcing function and the initial data are random variables defined on a certain probability space. Then, the equation is regarded as a random partial differential equation. We prove the global existence of a unique solution to the gCLMG equation, from which a stochastic process is defined. In addition, by approximating the solutions numerically by Galerkin approximation of random variables with generalized polynomial chaos, we confirm the existence of a steady distribution. We find that the steady distribution reproduces qualitatively the same cascades of the energy and the enstrophy spectra as those of a turbulent flow generated by randomly moving pulse (Matsumoto and Sakajo 2016 Phys. Rev. E 93 053101). We also investigate the structure functions, showing intermittency. |
著作権等: | This is the Accepted Manuscript version of an article accepted for publication in [Nonlinearity]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/acdfa3. CC BY-NC-ND licence The full-text file will be made open to the public on 29 June 2024 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/284721 |
DOI(出版社版): | 10.1088/1361-6544/acdfa3 |
出現コレクション: | 学術雑誌掲載論文等 |
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