基于 THB-样条线等距分析的不可压缩流体流动模拟中的自适应细化技术

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2024-09-25 DOI:10.1016/j.matcom.2024.09.016

Bohumír Bastl, Kristýna Slabá

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引用次数: 0

摘要

在本文中，我们讨论了等几何分析法求解的不可压缩流动数值模拟中的自适应细化问题。我们研究了各种误差估计器，并比较了它们对精确解的收敛性。此外，我们还提出了一类基于稳定方法的新误差估计器，用于不可压缩流的数值求解，并证明它们为标准误差估计器提供了可行的选择。此外，我们还对标记策略的不同选择及其对不可压缩流的适用性进行了评论，并就等几何分析中选定的标记策略和选定的代表性离散空间对误差估计器进行了比较。

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Adaptive refinement in incompressible fluid flow simulation based on THB-splines-powered isogeometric analysis

In this paper, we deal with adaptive refinement in numerical simulation of incompressible flow solved by isogeometric analysis. We study various error estimators and compare them with respect to convergence to the exact solution. Further, we propose a new class of error estimators based on stabilization methods for numerical solving of incompressible flow and we show that they provide viable option to standard error estimators. Moreover, we comment on different choices of marking strategies and their suitability to the case of incompressible flow and provide comparison of error estimators also with respect to selected marking strategies and selected representative pairs of discretization spaces in isogeometric analysis.

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来源期刊

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.