Work

An improved alternating direction implicit difference solution for 2D plane strain multiphase coupled steady-state diffusion equations

Year: 2026

Type: article

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.

Source: Journal of Theoretical and Applied Mechanics/Mechanika Teoretyczna i Stosowana

DOI: 10.15632/jtam-pl/239002

Authors: Qian HE, Longqi LI, Yaping YANG, Quan YUAN, Canghao DONG

Institutions: Chengdu University of Technology, State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Xihua University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Sichuan Province

Awards: G1761250139, G2001926431, G3167555283, G4180083958, G6457263273