Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid-Structure Interaction

摘要

A numerical assessment on the solution performance of adaptive finite element methods for fluid-structure interaction (FSI) is presented in this paper. The partitionedbased approach involving separate fluid and structure solvers is considered for adaptive finite element computationwith triangular mesh.The performance of the hp-adaptivity, inwhich error in energy norm is reduced by way of mesh refinement (h) and polynomial order extension (p), is of particular interest. In addition, parallel solution process based on the domain decompositionmethod is also assessed due to the complexity of two way coupling scheme. Based on its numerical convergence, the hp-adaptive procedure for the FSI problem is shown to yield the fastest convergence as generally expected. Moreover, our domain decomposition parallelization scheme shows reduction in the computation time by up to order 2. Subsequently, the convergence performance is highly dependent on the aspect ratios of the triangular elements. The solution performance strongly suggests the viability of the parallel hp-adaptive method in partitioned-based FSI formulation.