Numerical Solution of the Heat Transfer Equation Coupled with the Darcy Flow Using the Finite Element Method

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2022-04-05 DOI:10.1155/2022/5108445

Mohammed Hirpho

引用次数: 0

Abstract

The finite element approach was utilized in this study to solve numerically the two-dimensional time-dependent heat transfer equation coupled with the Darcy flow. The Picard-Lindelöf Theorem was used to prove the existence and uniqueness of the solution. The prior and posterior error estimates are then derived for the numerical scheme. Numerical examples were provided to show the effectiveness of the theoretical results. The essential code development in this study was done using MATLAB computer simulation.

查看原文本刊更多论文

用有限元法求解Darcy流耦合传热方程

本文采用有限元方法对二维含时传热方程与达西流耦合进行了数值求解。利用Picard-Lindelöf定理证明了解的存在性和唯一性。然后导出数值格式的先验误差估计和后验误差估计。通过算例验证了理论结果的有效性。本研究中的主要代码开发是使用MATLAB计算机模拟完成的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.