SPH-FE coupling for the simulation of confined flow through permeable deformable membranes

IF 2.8 3区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Computational Particle Mechanics Pub Date : 2025-01-04 DOI:10.1007/s40571-024-00892-y

Matthias Brugger, Roland Traxl, Roman Lackner

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引用次数: 0

Abstract

We present an extension of smoothed particle hydrodynamics (SPH) toward fluid flows involving the interaction with permeable deformable membranes. For this purpose, a coupled SPH-FE method based on a variational formulation of the immersed boundary (IB) method is developed. In the proposed method, weakly compressible SPH is used for the discretization of the fluid and a finite element (FE) method for thin structures for the discretization of the membrane. We consider confined flow in a two-dimensional fluid domain, with the membrane being represented as an elastic beam. Adopting the framework available for the IB method, the flux through the permeable membrane as described by Darcy’s law is considered. Finally, the proposed SPH-FE method is applied to two benchmark problems, i.e., the contraction of a circular membrane and the deformation of a membrane in a channel flow, comparing the numerical results with available analytical solutions.

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SPH-FE耦合模拟可渗透变形膜的受限流动

我们提出了一个扩展的平滑粒子流体力学（SPH）向流体流动涉及相互作用的渗透变形膜。为此，提出了一种基于浸入边界法变分公式的耦合SPH-FE方法。该方法采用弱可压缩SPH法对流体进行离散，采用薄结构有限元法对膜进行离散。我们考虑二维流体域中的受限流动，膜被表示为弹性梁。采用可用于IB方法的框架，考虑达西定律描述的通过透膜的通量。最后，将SPH-FE方法应用于两个基准问题，即通道流动中圆形膜的收缩和膜的变形，并将数值结果与现有的解析解进行了比较。

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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来源期刊

Computational Particle Mechanics Mathematics-Computational Mathematics

CiteScore

5.70

自引率

9.10%

发文量

期刊介绍： GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate ﬂows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.