A Nitsche stabilized finite element method for embedded interfaces: Application to fluid-structure interaction and rigid-body contact

JOURNAL OF COMPUTATIONAL PHYSICS

卷:413

Article

Liu, B.¹  Tan, D.¹ 

[1] Natl Univ Singapore, Dept Mech Engn, Singapore 119077, Singapore

关键词: Fluid-structure interaction;    Nitsche's method;    Ghost penalty method;    Projection-based adaptive Gauss quadrature;    Finite element;   

DOI  :  10.1016/j.jcp.2020.109461

来源: Elsevier

【 摘 要 】

In this article, an accurate and robust numerical formulation is presented for the simulation of the fluid-structure interaction in incompressible fluid flow. The incompressible Navier-Stokes equation is discretized with a stabilized finite element framework on the fixed Eulerian grid. Both symmetric and non-symmetric Nitsche's methods are accessed and employed to weakly impose Dirichlet boundary condition along the interface embedded in the element together with the ghost penalty method stabilizing the solution jump across the element edges. An easy-to-implement and robust numerical integration scheme based on a projection approach is proposed. To the author's knowledge, so far, there is no application of a projection-based approach in the field of numerical integration to deal with discontinuities. Therefore, the results presented in this article is considered as a pioneered and novel projection-based approach in the field of numerical integration to deal with embedded discontinuous function. A second-order staggered-partitioned scheme is employed to weakly couple the fluid and structure solvers. A second-order accurate and unconditionally stable time integration scheme is implemented for simulations. Accurate numerical results are obtained in the numerical examples and validation cases, including vortex-induced vibration (VIV), rotation, freely fall and rigid-body contact. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free