Perturbed polynomial reconstructed seventh-order hybrid WENO scheme with improved accuracy and resolution

IF 2.5 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computers & Fluids Pub Date : 2025-01-06 DOI:10.1016/j.compfluid.2025.106548
Tao Yang, Dazhi Sun, Qijun Zhao, Guoqing Zhao, Xi Chen
{"title":"Perturbed polynomial reconstructed seventh-order hybrid WENO scheme with improved accuracy and resolution","authors":"Tao Yang,&nbsp;Dazhi Sun,&nbsp;Qijun Zhao,&nbsp;Guoqing Zhao,&nbsp;Xi Chen","doi":"10.1016/j.compfluid.2025.106548","DOIUrl":null,"url":null,"abstract":"<div><div>Non-polynomial reconstructions can be employed to enhance the performance of the WENO-type schemes by optimizing the inherent hyper-parameter. In contrast to the non-polynomial RBF-based and the Gauss-Kriging reconstructions, the perturbed polynomial reconstruction exhibits good portability and expandability. In this work, a novel seventh-order WENO scheme, denoted as the HPWENO7 scheme, is proposed by incorporating the concept of the perturbed polynomial reconstructions into the standard seventh-order WENO7-JS scheme (Jiang and Shu, 1996, [6]). Firstly, a refined troubled cell indicator is developed to categorize the global stencils as either smooth or non-smooth. Subsequently, perturbed polynomial reconstruction with double free-parameters, the values of which can be adjusted automatically according to the features of local regions, is developed to optimize the fluxes within the four-point candidate stencils. Adaptive optimization of the free-parameter values enables a minimum one-order improvement in accuracy. Finally, the novel HPWENO7 scheme is proposed by combining the seventh-order upstream central scheme for smooth stencils with the perturbed polynomial reconstruction optimized candidate fluxes for non-smooth stencils. Numerical examples show that the HPWENO7 scheme achieves fifth-order of accuracy in the four-point candidate stencils, providing sharper solutions for discontinuities and significantly higher resolution for small-scale vortex structures around the discontinuities.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"289 ","pages":"Article 106548"},"PeriodicalIF":2.5000,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers & Fluids","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S004579302500009X","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0

Abstract

Non-polynomial reconstructions can be employed to enhance the performance of the WENO-type schemes by optimizing the inherent hyper-parameter. In contrast to the non-polynomial RBF-based and the Gauss-Kriging reconstructions, the perturbed polynomial reconstruction exhibits good portability and expandability. In this work, a novel seventh-order WENO scheme, denoted as the HPWENO7 scheme, is proposed by incorporating the concept of the perturbed polynomial reconstructions into the standard seventh-order WENO7-JS scheme (Jiang and Shu, 1996, [6]). Firstly, a refined troubled cell indicator is developed to categorize the global stencils as either smooth or non-smooth. Subsequently, perturbed polynomial reconstruction with double free-parameters, the values of which can be adjusted automatically according to the features of local regions, is developed to optimize the fluxes within the four-point candidate stencils. Adaptive optimization of the free-parameter values enables a minimum one-order improvement in accuracy. Finally, the novel HPWENO7 scheme is proposed by combining the seventh-order upstream central scheme for smooth stencils with the perturbed polynomial reconstruction optimized candidate fluxes for non-smooth stencils. Numerical examples show that the HPWENO7 scheme achieves fifth-order of accuracy in the four-point candidate stencils, providing sharper solutions for discontinuities and significantly higher resolution for small-scale vortex structures around the discontinuities.
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
求助全文
约1分钟内获得全文 去求助
相关文献
Seismicity patterns before strong earthquakes in Greece
IF 2.3 4区 地球科学Acta GeophysicaPub Date : 2009-03-12 DOI: 10.2478/s11600-009-0004-y
Vassilis Karakostas
Seismicity patterns before strong earthquakes in Greece
IF 2.3 4区 地球科学Acta GeophysicaPub Date : 2009-03-12 DOI: 10.2478/S11600-009-0004-Y
V. Karakostas
来源期刊
Computers & Fluids
Computers & Fluids 物理-计算机:跨学科应用
CiteScore
5.30
自引率
7.10%
发文量
242
审稿时长
10.8 months
期刊介绍: Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.
期刊最新文献
Editorial Board Zonal and adaptive mesh refinement for RANS-based transition models in FUN3D Unified algorithm to efficiently implement high-order schemes of differential form on unstructured grids An enhanced analytical-based geometry processor for the volume of solid (VoS) method in CPU and GPU computations Dual scale Residual-Network for turbulent flow sub grid scale resolving: A prior analysis
×
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