具有一般边界条件时相关Navier-Stokes方程的混合有限元逼近

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2023-11-08 DOI:10.3390/sym15112031

Omar El Moutea, Nadia Nakbi, Abdeslam El Akkad, Ahmed Elkhalfi, Lahcen El Ouadefli, Sorin Vlase, Maria Luminita Scutaru

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引用次数: 0

摘要

本文给出了在一般边界条件下求解不可压缩Navier-Stokes方程控制的非定常非对称流的数值格式。采用有限元法进行空间离散，采用全隐式欧拉格式进行时间离散。除了对数值方案中的误差进行理论分析外，我们还引入了时间离散和空间离散两种后验误差指标，目的是有效地控制误差。我们建立了这些估计量与实际误差之间的等价关系。此外，我们在两个维度上进行了数值模拟，以评估我们的方案的准确性和有效性。

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 Mixed Finite Element Approximation for Time-Dependent Navier–Stokes Equations with a General Boundary Condition

In this paper, we present a numerical scheme for addressing the unsteady asymmetric flows governed by the incompressible Navier–Stokes equations under a general boundary condition. We utilized the Finite Element Method (FEM) for spatial discretization and the fully implicit Euler scheme for time discretization. In addition to the theoretical analysis of the error in our numerical scheme, we introduced two types of a posteriori error indicators: one for time discretization and another for spatial discretization, aimed at effectively controlling the error. We established the equivalence between these estimators and the actual error. Furthermore, we conducted numerical simulations in two dimensions to assess the accuracy and effectiveness of our scheme.

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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.