大哈特曼数下稳定无单元伽辽金磁流体流动分析方法

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2025-06-15 Epub Date: 2025-02-04 DOI:10.1016/j.amc.2025.129334

Xiaolin Li , Haiyun Dong

{"title":"大哈特曼数下稳定无单元伽辽金磁流体流动分析方法","authors":"Xiaolin Li , Haiyun Dong","doi":"10.1016/j.amc.2025.129334","DOIUrl":null,"url":null,"abstract":"<div><div>A stabilized element-free Galerkin (EFG) method is designed to simulate magnetohydrodynamic (MHD) flow at very large Hartmann numbers. By transforming the MHD flow to two decoupled convection-diffusion problems, residual-based formulas are devised to improve the performance of the standard EFG method damaged by large Hartmann numbers. Error of the stabilized EFG method is discussed in theory. Numerical examples show that this meshless method can produce efficacious solutions for MHD problems with very large Hartmann numbers such as 10<sup>16</sup>.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129334"},"PeriodicalIF":3.4000,"publicationDate":"2025-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of a stabilized element-free Galerkin method for magnetohydrodynamic flow at very large Hartmann numbers\",\"authors\":\"Xiaolin Li , Haiyun Dong\",\"doi\":\"10.1016/j.amc.2025.129334\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A stabilized element-free Galerkin (EFG) method is designed to simulate magnetohydrodynamic (MHD) flow at very large Hartmann numbers. By transforming the MHD flow to two decoupled convection-diffusion problems, residual-based formulas are devised to improve the performance of the standard EFG method damaged by large Hartmann numbers. Error of the stabilized EFG method is discussed in theory. Numerical examples show that this meshless method can produce efficacious solutions for MHD problems with very large Hartmann numbers such as 10<sup>16</sup>.</div></div>\",\"PeriodicalId\":55496,\"journal\":{\"name\":\"Applied Mathematics and Computation\",\"volume\":\"495 \",\"pages\":\"Article 129334\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2025-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S009630032500061X\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2025/2/4 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S009630032500061X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/4 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

设计了一种稳定无单元伽辽金（EFG）方法来模拟非常大哈特曼数下的磁流体动力学（MHD）流动。通过将MHD流动转化为两个解耦的对流扩散问题，设计了基于残差的公式，以提高标准EFG方法在大Hartmann数破坏下的性能。从理论上讨论了稳定EFG方法的误差。数值算例表明，这种无网格方法可以有效地求解哈特曼数非常大的MHD问题，如1016。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Analysis of a stabilized element-free Galerkin method for magnetohydrodynamic flow at very large Hartmann numbers

A stabilized element-free Galerkin (EFG) method is designed to simulate magnetohydrodynamic (MHD) flow at very large Hartmann numbers. By transforming the MHD flow to two decoupled convection-diffusion problems, residual-based formulas are devised to improve the performance of the standard EFG method damaged by large Hartmann numbers. Error of the stabilized EFG method is discussed in theory. Numerical examples show that this meshless method can produce efficacious solutions for MHD problems with very large Hartmann numbers such as 10¹⁶.

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

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.