The development of an ALE finite element and discontinuous Galerkin method for the non-isothermal non-Newtonian FSI problem

IF 8.7 2区 工程技术 Q1 Mathematics
Puyang Gao, Xiaolin Hu
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引用次数: 0

Abstract

In this paper, we develop a semi-implicit partitioned finite element and discontinuous Galerkin method for the non-isothermal non-Newtonian fluid structure interaction (NNFSI) problem within the arbitrary Lagrangian–Eulerian (ALE) framework. The structure is composed of the elastic solid material. The entire mathematical model consists of the governing equations of the non-Newtonian fluid and the structure, as well as the boundary conditions on the contacting interface. The rheological behavior of non-Newtonian fluid is described according to the power law constitutive equation. The whole system is split into several sub-equations and then appropriate finite element method or discontinuous Galerkin method is employed for the spatial discretizations of them. As for the deformation of the structure and the change of the fluid area and computational mesh, we employ the moving mesh technique to handle them. The problem involving a hot flexible rod fixed on the hot bottom of an irregular pipe is fully investigated. The influences of the fluid inlet velocity and the behavior of the fluid on the deformation of the rod and the temperature distribution are all analyzed.

Abstract Image

针对非等温非牛顿 FSI 问题开发 ALE 有限元和非连续 Galerkin 方法
本文针对任意拉格朗日-欧勒(ALE)框架内的非等温非牛顿流体结构相互作用(NNFSI)问题,开发了一种半隐式分区有限元和非连续 Galerkin 方法。结构由弹性固体材料组成。整个数学模型包括非牛顿流体和结构的控制方程,以及接触界面的边界条件。非牛顿流体的流变行为根据幂律构成方程进行描述。整个系统被分割成若干子方程,然后采用适当的有限元法或非连续 Galerkin 法对其进行空间离散化。对于结构的变形以及流体面积和计算网格的变化,我们采用了移动网格技术来处理。我们全面研究了固定在不规则管道热底部的热柔性杆问题。分析了流体入口速度和流体行为对杆的变形和温度分布的影响。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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