{"title":"求解湍流强迫和自然对流问题的控制体积自由元法","authors":"Jin-Xing Ding, Hua-Yu Liu, Xiao-Wei Gao","doi":"10.1002/fld.5403","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>In this work, the control volume free element method (CVFrEM) is proposed for turbulent forced and natural convection problems. In the proposed method, the control volume at each collocation node is generated locally within the free element formed for the node, based on which the governing equations are discretized using the Green-Gauss formula. In contrast to conventional segregated SIMPLE-like algorithms, the newly proposed method achieves fully coupled velocity and pressure, thereby significantly improving convergence characteristics. The computational framework has been validated through the turbulent natural and forced convection problems involving conjugate heat transfer. Comprehensive verification has been carried out by systematically comparing numerical results with benchmark solutions from the literature and experimental measurements. Numerical experiments on several test cases demonstrate the computational efficiency of the proposed method and its numerical robustness.</p>\n </div>","PeriodicalId":50348,"journal":{"name":"International Journal for Numerical Methods in Fluids","volume":"97 11","pages":"1397-1409"},"PeriodicalIF":1.8000,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Control Volume Free Element Method for Solving Turbulent Forced and Natural Convection Problems\",\"authors\":\"Jin-Xing Ding, Hua-Yu Liu, Xiao-Wei Gao\",\"doi\":\"10.1002/fld.5403\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>In this work, the control volume free element method (CVFrEM) is proposed for turbulent forced and natural convection problems. In the proposed method, the control volume at each collocation node is generated locally within the free element formed for the node, based on which the governing equations are discretized using the Green-Gauss formula. In contrast to conventional segregated SIMPLE-like algorithms, the newly proposed method achieves fully coupled velocity and pressure, thereby significantly improving convergence characteristics. The computational framework has been validated through the turbulent natural and forced convection problems involving conjugate heat transfer. Comprehensive verification has been carried out by systematically comparing numerical results with benchmark solutions from the literature and experimental measurements. Numerical experiments on several test cases demonstrate the computational efficiency of the proposed method and its numerical robustness.</p>\\n </div>\",\"PeriodicalId\":50348,\"journal\":{\"name\":\"International Journal for Numerical Methods in Fluids\",\"volume\":\"97 11\",\"pages\":\"1397-1409\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2025-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal for Numerical Methods in Fluids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/fld.5403\",\"RegionNum\":4,\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Numerical Methods in Fluids","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/fld.5403","RegionNum":4,"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}
Control Volume Free Element Method for Solving Turbulent Forced and Natural Convection Problems
In this work, the control volume free element method (CVFrEM) is proposed for turbulent forced and natural convection problems. In the proposed method, the control volume at each collocation node is generated locally within the free element formed for the node, based on which the governing equations are discretized using the Green-Gauss formula. In contrast to conventional segregated SIMPLE-like algorithms, the newly proposed method achieves fully coupled velocity and pressure, thereby significantly improving convergence characteristics. The computational framework has been validated through the turbulent natural and forced convection problems involving conjugate heat transfer. Comprehensive verification has been carried out by systematically comparing numerical results with benchmark solutions from the literature and experimental measurements. Numerical experiments on several test cases demonstrate the computational efficiency of the proposed method and its numerical robustness.
期刊介绍：
The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction.
Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review.
The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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