瞬态Navier-Stokes方程的时滞罚积分方程

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-07-14 DOI:10.1016/j.enganabound.2025.106372

M.A. Kamal , Ibrahim A. Eldardeer , Youssef F. Rashed , Ahmed Fady Farid

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引用次数: 0

摘要

本文导出了非定常不可压缩流体问题的一个新的基本解。采用合适的有限差分格式对时间相关项进行分解。因此，将未知流体速度直接纳入到问题微分算子中，用新的微分算子将瞬态方程转化为稳态方程，并推导出相应的基本解。这是在Navier-Stokes方程的惩罚公式的背景下进行的。推导了该方法的直接边界积分方程，并将其用于求解具有两种不同宽高比的著名的Lid驱动腔问题。结果与先前发表的结果非常吻合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A time-differencing penalty integral equation formulation for transient Navier-Stokes equations

In this paper a new fundamental solution for unsteady incompressible fluid problems is derived. The time dependent term is decomposed using suitable finite difference scheme. Hence, the unknown fluid velocity is directly incorporated into the problem differential operator converting the transient equations into steady state equations with new differential operator, to which the developed fundamental solution is derived. This is carried out within the context of penalty formulation of Navier-Stokes equations. The direct boundary integral equation is derived for the proposed method and used in the solution of the well-known Lid driven cavity problem with 2 different aspect ratios. The results demonstrate excellent agreement with previously published results.

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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.