A Meshless Generalized Finite Difference Method for the Closed-loop Geothermal System

Author

Xiaotong Han
Lina Song
Cong Xie
Xiaoming He, Missouri University of Science and TechnologyFollow

Abstract

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.

Recommended Citation

X. Han et al., "A Meshless Generalized Finite Difference Method for the Closed-loop Geothermal System," Engineering Analysis with Boundary Elements, vol. 180, article no. 106482, Elsevier, Nov 2025.

The definitive version is available at https://doi.org/10.1016/j.enganabound.2025.106482

Department(s)

Mathematics and Statistics

Comments

Natural Science Foundation of Shandong Province, Grant ZR2024MA025

Keywords and Phrases

Closed-loop geothermal system; Generalized finite difference method; Meshless method; Multiphysics model

International Standard Serial Number (ISSN)

0955-7997

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2025 Elsevier, All rights reserved.

Publication Date

01 Nov 2025