关于不可压缩流模拟的标准和动能保存时间积分法的性能

Marco Artiano, Carlo De Michele, Francesco Capuano, Gennaro Coppola
{"title":"关于不可压缩流模拟的标准和动能保存时间积分法的性能","authors":"Marco Artiano, Carlo De Michele, Francesco Capuano, Gennaro Coppola","doi":"arxiv-2409.08851","DOIUrl":null,"url":null,"abstract":"The effects of kinetic-energy preservation errors due to Runge-Kutta (RK)\ntemporal integrators have been analyzed for the case of large-eddy simulations\nof incompressible turbulent channel flow. Simulations have been run using the\nopen-source solver Xcompact3D with an implicit spectral vanishing viscosity\nmodel and a variety of temporal Runge-Kutta integrators. Explicit\npseudo-symplectic schemes, with improved energy preservation properties, have\nbeen compared to standard RK methods. The results show a marked decrease in the\ntemporal error for higher-order pseudo-symplectic methods; on the other hand,\nan analysis of the energy spectra indicates that the dissipation introduced by\nthe commonly used three-stage RK scheme can lead to significant distortion of\nthe energy distribution within the inertial range. A cost-vs-accuracy analysis\nsuggests that pseudo-symplectic schemes could be used to attain results\ncomparable to traditional methods at a reduced computational cost.","PeriodicalId":501125,"journal":{"name":"arXiv - PHYS - Fluid Dynamics","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the performances of standard and kinetic energy preserving time-integration methods for incompressible-flow simulations\",\"authors\":\"Marco Artiano, Carlo De Michele, Francesco Capuano, Gennaro Coppola\",\"doi\":\"arxiv-2409.08851\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The effects of kinetic-energy preservation errors due to Runge-Kutta (RK)\\ntemporal integrators have been analyzed for the case of large-eddy simulations\\nof incompressible turbulent channel flow. Simulations have been run using the\\nopen-source solver Xcompact3D with an implicit spectral vanishing viscosity\\nmodel and a variety of temporal Runge-Kutta integrators. Explicit\\npseudo-symplectic schemes, with improved energy preservation properties, have\\nbeen compared to standard RK methods. The results show a marked decrease in the\\ntemporal error for higher-order pseudo-symplectic methods; on the other hand,\\nan analysis of the energy spectra indicates that the dissipation introduced by\\nthe commonly used three-stage RK scheme can lead to significant distortion of\\nthe energy distribution within the inertial range. A cost-vs-accuracy analysis\\nsuggests that pseudo-symplectic schemes could be used to attain results\\ncomparable to traditional methods at a reduced computational cost.\",\"PeriodicalId\":501125,\"journal\":{\"name\":\"arXiv - PHYS - Fluid Dynamics\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Fluid Dynamics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.08851\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Fluid Dynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08851","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

针对不可压缩湍流通道流的大涡模拟,分析了 Runge-Kutta (RK) 时间积分器导致的动能保存误差的影响。模拟使用开源求解器 Xcompact3D 和隐式光谱消失粘度模型以及各种 Runge-Kutta 时间积分器进行。与标准 RK 方法相比,显式伪交映方案具有更好的能量保存特性。结果表明,高阶伪交映方法的时间误差明显减小;另一方面,对能量谱的分析表明,常用的三阶 RK 方案引入的耗散会导致惯性范围内的能量分布发生显著扭曲。成本-精度分析表明,使用伪交错方案可以在降低计算成本的同时获得与传统方法相媲美的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
On the performances of standard and kinetic energy preserving time-integration methods for incompressible-flow simulations
The effects of kinetic-energy preservation errors due to Runge-Kutta (RK) temporal integrators have been analyzed for the case of large-eddy simulations of incompressible turbulent channel flow. Simulations have been run using the open-source solver Xcompact3D with an implicit spectral vanishing viscosity model and a variety of temporal Runge-Kutta integrators. Explicit pseudo-symplectic schemes, with improved energy preservation properties, have been compared to standard RK methods. The results show a marked decrease in the temporal error for higher-order pseudo-symplectic methods; on the other hand, an analysis of the energy spectra indicates that the dissipation introduced by the commonly used three-stage RK scheme can lead to significant distortion of the energy distribution within the inertial range. A cost-vs-accuracy analysis suggests that pseudo-symplectic schemes could be used to attain results comparable to traditional methods at a reduced computational cost.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Additive-feature-attribution methods: a review on explainable artificial intelligence for fluid dynamics and heat transfer Direct and inverse cascades scaling in real shell models of turbulence A new complex fluid flow phenomenon: Bubbles-on-a-String Long-distance Liquid Transport Along Fibers Arising From Plateau-Rayleigh Instability Symmetry groups and invariant solutions of plane Poiseuille flow
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1