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OA北大核心CSTPCD

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.