arrow
Return

Third-order MFS for solving two-dimensional Stokes flow problems

delete2025-02-01
delete0
PRE
AI
C
Chein‐Shan Liu
C
Chia‐Ming Fan
C
Chung-Lun Kuo *
DOI:10.1016/j.enganabound.2024.106092delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
When the two-dimensional (2D) Stokes equations are formulated as two-coupled third-order partial differential equations, we prove two types particular solutions and develop the corresponding meshless third-order method of fundamental solutions (MFS) to solve the Stokes flow problems. The second MFS with more comprehensive bases is more accurate than the first MFS. Some examples are examined to exhibit the performance of the proposed two novel third-order methods of fundamental solutions.
Keywords:
Stokes flow problem
Third-order MFS
Irregular domain
Laplacian decomposition method

Journal

Engineering Analysis with Boundary Elements cover
Engineering Analysis with Boundary Elements
IF:
4.1
Papers:
5.8K
Citations:
9.4K

Organization

National Taiwan Ocean University cover
National Taiwan Ocean University
Scholars:
3.9K
Papers: 3.6K
Citations: 3.0K