求解二维Stokes流动问题的三阶MFS

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-01-01 DOI:10.1016/j.enganabound.2024.106092

Chein-Shan Liu, Chia-Ming Fan, Chung-Lun Kuo

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引用次数: 0

摘要

将二维Stokes方程化为两耦合三阶偏微分方程，证明了两类特解，并建立了相应的无网格三阶基本解方法。基于更全面基础的第二次MFS比第一次MFS更准确。通过一些例子来证明所提出的两种新的三阶基本解方法的性能。

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

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.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.