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ARTICLE
An improved alternating direction implicit difference solution for 2D plane strain multiphase coupled steady-state diffusion equations
1
College of Environmental and Civil Engineering, Chengdu University of Technology, Chengdu, China
2
State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu, China
3
School of Architecture and Civil Engineering, Xihua University, Chengdu, China
Submission date: 2026-06-02
Final revision date: 2026-07-16
Acceptance date: 2026-09-22
Online publication date: 2026-11-06
Corresponding author
KEYWORDS
TOPICS
ABSTRACT
Two-dimensional multiphase coupling problems are ubiquitous in diverse research domains. However, when it comes to problems involving higher dimensions and multi-physics coupling, existing solutions struggle to provide even a preliminary prediction. This study proposes an improved alternating direction implicit (IADI) difference algorithm to solve these problems. A conventional difference mesh is first split and then reassembled into a new mesh that couples the individual phases. A virtual mesh is constructed on adjacent time layers, with the iteration between the virtual and real meshes carried out via matrix operations. The IADI solution has high computational efficiency and accuracy in a series of examples.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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