{"title":"地热闭环系统的无网格广义有限差分法","authors":"Xiaotong Han , Lina Song , Cong Xie , Xiaoming He","doi":"10.1016/j.enganabound.2025.106482","DOIUrl":null,"url":null,"abstract":"<div><div>This study develops a meshless method to solve the closed-loop geothermal system. Unlike mesh-based methods that require additional interface terms, this method handles complex interface conditions in a simple and direct way by employing the Taylor series expansion in combination with the moving least squares approach. Moreover, to overcome the pressure oscillation problem in the model, an effective mixed boundary condition is introduced, without making any changes to the governing equations. Through the numerical cases, the method demonstrates the high accuracy and effectively simulates the target model.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106482"},"PeriodicalIF":4.1000,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A meshless generalized finite difference method for the closed-loop geothermal system\",\"authors\":\"Xiaotong Han , Lina Song , Cong Xie , Xiaoming He\",\"doi\":\"10.1016/j.enganabound.2025.106482\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study develops a meshless method to solve the closed-loop geothermal system. Unlike mesh-based methods that require additional interface terms, this method handles complex interface conditions in a simple and direct way by employing the Taylor series expansion in combination with the moving least squares approach. Moreover, to overcome the pressure oscillation problem in the model, an effective mixed boundary condition is introduced, without making any changes to the governing equations. Through the numerical cases, the method demonstrates the high accuracy and effectively simulates the target model.</div></div>\",\"PeriodicalId\":51039,\"journal\":{\"name\":\"Engineering Analysis with Boundary Elements\",\"volume\":\"180 \",\"pages\":\"Article 106482\"},\"PeriodicalIF\":4.1000,\"publicationDate\":\"2025-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Analysis with Boundary Elements\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0955799725003698\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0955799725003698","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
A meshless generalized finite difference method for the closed-loop geothermal system
This study develops a meshless method to solve the closed-loop geothermal system. Unlike mesh-based methods that require additional interface terms, this method handles complex interface conditions in a simple and direct way by employing the Taylor series expansion in combination with the moving least squares approach. Moreover, to overcome the pressure oscillation problem in the model, an effective mixed boundary condition is introduced, without making any changes to the governing equations. Through the numerical cases, the method demonstrates the high accuracy and effectively simulates the target model.
期刊介绍:
This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods.
Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness.
The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields.
In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research.
The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods
Fields Covered:
• Boundary Element Methods (BEM)
• Mesh Reduction Methods (MRM)
• Meshless Methods
• Integral Equations
• Applications of BEM/MRM in Engineering
• Numerical Methods related to BEM/MRM
• Computational Techniques
• Combination of Different Methods
• Advanced Formulations.