The development of semi-implicit partitioned ALE finite element/discontinuous Galerkin method for the non-Newtonian fluid structure interaction

• Published in: Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 51; no. 4; pp. 450 - 458
• Main Authors: Gao, Puyang, Hu, Xiaolin
• Format: Journal Article
• Language: Chinese
• Published: Hangzhou Zhejiang University 01.07.2024; Zhejiang University Press
• Subjects: Boundary conditions; Constitutive equations; Constitutive relationships; Elastic deformation; Finite element method; finite element(有限元); fluid structure interaction (fsi)(流固耦合); Fluid-structure interaction; Galerkin method; Newtonian fluids; Non Newtonian fluids; non-newtonian fluid(非牛顿流体); power law model(幂律模型); Rheological properties; semi-implicit(半隐式)
• ISSN: 1008-9497
• DOI: 10.3785/j.issn.1008-9497.2024.04.008

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