异质粘度稳定流的迭代分裂方案

IF 6.9 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Computer Methods in Applied Mechanics and Engineering Pub Date : 2024-09-16 DOI:10.1016/j.cma.2024.117391

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引用次数: 0

摘要

本文提出了一种数值方案，用于近似求解具有异质粘度的流体（一般有界粘度或剪切稀化流体）的斯托克斯或稳定纳维-斯托克斯系统。该方案基于类似乌泽方法的速度-压力分裂，并结合了梯度稳定项。我们确定了这一策略的有效性、收敛性和先验估计。我们还提出并研究了一种更简单的混合方法。我们提供了使用人造解法进行的数值测试，给出了精度阶次和对稳定系数敏感性的估计值。为了获得更真实的数值实验结果，我们给出了盖子驱动空腔的结果。

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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An iterative split scheme for steady flows with heterogeneous viscosity

This paper proposes a numerical scheme for the approximation of the solution of the Stokes or steady Navier–Stokes system for fluids with heterogeneous viscosity (generic bounded viscosity or shear thinning fluids). The scheme is based on a velocity–pressure splitting resembling a Uzawa approach combined with a grad-div stabilizing term. We establish the validity, convergence and a priori estimates for this strategy. A simpler mixed approach is also presented and studied. Numerical tests using a manufactured solution are provided, giving estimates for the accuracy order and sensitivity to the stabilizing coefficient. For more realistic numerical experiments, we present results for the lid-driven cavity.

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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.