斯托克斯问题的一致压力公式及其近似

IF 7.3 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-09-10 DOI:10.1016/j.cma.2025.118333

Melvin Creff, Jean-Luc Guermond

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引用次数: 0

摘要

用连续有限元方法对广义Stokes问题的非标准形式给出了非协调近似。数值验证了该方法的稳定性、收敛性和可扩展性。该方法的四个关键特征如下：(1)观察到对等阶的最优收敛；所得到的代数系统易于预设；（iii）公式对相等对具有压力稳健性；（iv）该公式特别适用于与时间有关的不可压缩的Navier-Stokes方程的近似。

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Consistent pressure formulation of the Stokes problem and approximation thereof

A non-conforming approximation of a non standard formulation of the generalized Stokes problem is proposed using continuous finite elements. The stability, convergence, and scalability properties of the method are numerically tested. Four key features of the method are as follows: (i) It is observed to converge optimally with pairs of equal order; (ii) The resulting algebraic system is simple to precondition; (iii) The formulation is pressure-robust for equal pairs; (iv) The formulation is particularly well adapted for the approximation of the time-dependent incompressible Navier-Stokes equations.

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来源期刊

Computer Methods in Applied Mechanics and Engineering 工程技术-工程：综合

CiteScore

12.70

自引率

15.30%

发文量

719

审稿时长

44 days

期刊介绍： Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.