浙江大学学报（理学版）2024，Vol.51Issue(4)：450-458,9.DOI:10.3785/j.issn.1008-9497.2024.04.008
非牛顿流固耦合问题的半隐式分区ALE有限元-间断有限元耦合算法研究
The development of semi-implicit partitioned ALE finite element/discontinuous Galerkin method for the non-Newtonian fluid structure interaction
摘要
Abstract
In this paper,we develop the semi-implicit partitioned finite element/discontinuous Galerkin method for the non-Newtonian fluid structure interaction(NFSI)problem within the arbitrary Lagrangian-Eulerian(ALE)framework.The whole mathematical model of this problem involves the governing equations of the non-Newtonian fluid,the solid structure and the boundary conditions on the contacting interface.The structure is composed of elastic solid material and the rheological behavior of non-Newtonian fluid is described according to the power law constitutive equation.The governing system of non-Newtonian fluid is split into several sub-equations and the finite element and discontinuous Galerkin method are employed to solve the appropriate type equations.As for the governing equation of structure,the standard finite element method is chosen to deal with it.In addition,the modified Laplace moving mesh technique is utilized to handle the deformation of the structure and update the interface between the fluid and structure.The problem involving a flexible trapezoidal structure fixed on the bottom of a rectangular tank full of non-Newtonian fluid is investigated.The influences of the height of the structure,the fluid inlet velocity and the behavior of the fluid on the FSI problem are all analyzed.关键词
流固耦合/非牛顿流体/幂律模型/半隐式/有限元Key words
fluid structure interaction(FSI)/non-Newtonian fluid/power law model/semi-implicit/finite element分类
数理科学引用本文复制引用
高普阳,胡小林..非牛顿流固耦合问题的半隐式分区ALE有限元-间断有限元耦合算法研究[J].浙江大学学报（理学版）,2024,51(4):450-458,9.基金项目
国家自然科学基金资助项目(11901051,11971075) （11901051,11971075）
陕西省科协青年人才托举计划项目(20220504) （20220504）
陕西数理基础科学研究项目(23JSQ040). （23JSQ040）
