使用粒子有限元法进行不可压缩流动分析的新型稳定节点积分公式

IF 1.7 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Lu-Jia Yu, Yin-Fu Jin, Zhen-Yu Yin, Jian-Fei Chen
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引用次数: 0

摘要

在使用基于节点应变平滑技术的粒子有限元法(PFEM)(NS-PFEM)模拟不可压缩流动时,空间和时间不稳定性被认为是关键问题。因此,本研究提出了一种稳定的 NS-PFEM-FIC 公式,用于模拟自由表面流动的不可压缩流体。在所提出的方法中,(1) 通过在平滑域上实施梯度应变场代替恒定应变场来实现稳定化,在直接节点积分中处理空间和时间不稳定性;(2) 使用节点积分添加有限增量微积分(FIC)稳定项,并采用三步分步法更新压力和速度;(3) 利用预测器-校正算法开发了一种新型滑移边界,用于处理自由表面流与刚性壁之间的相互作用,避免了标准无滑移条件引起的压力集中。所提出的稳定 NS-PFEM-FIC 通过几个经典的数值案例(静水试验、水射流冲击、水坝断裂和刚性障碍物上的水坝断裂)进行了验证。将所有模拟结果与实验结果及其他数值解进行比较,结果表明两者具有良好的一致性,这表明所提出的稳定化 NS-PFEM-FIC 能够高精度地求解不可压缩自由表面流,具有广阔的应用前景。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

A novel stabilized nodal integration formulation using particle finite element method for incompressible flow analysis

A novel stabilized nodal integration formulation using particle finite element method for incompressible flow analysis

A novel stabilized nodal integration formulation using particle finite element method for incompressible flow analysis

In simulations using the particle finite element method (PFEM) with node-based strain smoothing technique (NS-PFEM) to simulate the incompressible flow, spatial and temporal instabilities have been identified as crucial problems. Accordingly, this study presents a stabilized NS-PFEM-FIC formulation to simulate an incompressible fluid with free-surface flow. In the proposed approach, (1) stabilization is achieved by implementing the gradient strain field in place of the constant strain field over the smoothing domains, handling spatial and temporal instabilities in direct nodal integration; (2) the finite increment calculus (FIC) stabilization terms are added using nodal integration, and a three-step fractional step method is adopted to update pressures and velocities; and (3) a novel slip boundary with the predictor–corrector algorithm is developed to deal with the interaction between the free-surface flow with rigid walls, avoiding the pressure concentration induced by standard no-slip condition. The proposed stabilized NS-PFEM-FIC is validated via several classical numerical cases (hydrostatic test, water jet impinging, water dam break, and water dam break on a rigid obstacle). Comparisons of all simulations to the experimental results and other numerical solutions reveal good agreement, demonstrating the strong ability of the proposed stabilized NS-PFEM-FIC to solve incompressible free-surface flow with high accuracy and promising application prospects.

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来源期刊
International Journal for Numerical Methods in Fluids
International Journal for Numerical Methods in Fluids 物理-计算机:跨学科应用
CiteScore
3.70
自引率
5.60%
发文量
111
审稿时长
8 months
期刊介绍: The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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