用于具有移动边界和界面的流固耦合问题的统一更新拉格朗日平滑粒子流体力学

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
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引用次数: 0

摘要

流固耦合(FSI)作为一种两相流问题,在工程中广泛存在,通常涉及大变形、移动边界和界面。源于平滑粒子流体力学(SPH)的有限粒子法(FPM)是最常用的无网格粒子法之一,比传统的 SPH 更精确。本文基于虚功原理,提出了一种统一的更新拉格朗日 FPM 框架,将流体和固体同时离散化。在流体模型中使用了一种无梯度的人工压力耗散形式来解决压力振荡问题。在固体模型中,引入了额外的人工刚度,以控制由于秩缺陷导致的数值不稳定性。考虑到 FSI 问题,在流体的控制方程中引入了被视为假颗粒的固体颗粒。这种技术可以避免假颗粒的排列和更新,并能方便地处理具有复杂运动界面的 FSI 问题。界面力由力对构成,以确保动量守恒。最后,通过对四个不同程度的跟踪界面进行 FSI 数值试验,证明本文的方法可以有效地处理具有复杂几何形状和运动界面的 FSI 问题。特别是在低雷诺数和中雷诺数的 FSI 情况下,它是有效的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces

Fluid-structure interaction (FSI), as a two-phase flow problem, is widely encountered in engineering, which often involves large deformation and moving boundaries and interfaces. The finite particle method (FPM) originated from smoothed particle hydrodynamics (SPH) is one of the most common meshfree particle methods, and is more accurate than conventional SPH. In this paper, based on the virtual work principle, a unified updated Lagrangian FPM framework is proposed by which both fluid and solid are discretized simultaneously. A gradient-free form of artificial pressure dissipation is used in fluid models for pressure oscillation problems. An additional artificial stiffness is introduced to control the numerical instability due to rank-deficiency in solid models. Considering FSI problem, the solid particles regarded as dummy particles are introduced into the governing equations of fluid. This technique can avoid arrangement and updating of dummy particles, and allows a convenient handling of the FSI problems with a complex moving interface. The interface force is formed by a force-pair to ensure momentum conservation. Finally, four FSI numerical tests from different degrees of tracking interface are performed to demonstrate that the method in this work can effectively handle the FSI problem with complex geometrical and moving interfaces. In particular, it is effective in the FSI cases with low and medium Reynolds number.

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来源期刊
Applied Mathematical Modelling
Applied Mathematical Modelling 数学-工程:综合
CiteScore
9.80
自引率
8.00%
发文量
508
审稿时长
43 days
期刊介绍: Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.
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