Immersed smoothed finite element method for two dimensional fluid-structure interaction problems

2012 ◽  
Vol 90 (10) ◽  
pp. 1292-1320 ◽  
Author(s):  
Zhi-Qian Zhang ◽  
G. R. Liu ◽  
Boo Cheong Khoo
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fluid Structure Interaction ◽  
Two Dimensional ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Smoothed Finite Element Method ◽  
Element Method

AN IMMERSED SMOOTHED FINITE ELEMENT METHOD FOR FLUID–STRUCTURE INTERACTION PROBLEMS

2011 ◽  
Vol 08 (04) ◽  
pp. 747-757 ◽  
Author(s):  
ZHI-QIAN ZHANG ◽  
JIANYAO YAO ◽  
G. R. LIU
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fluid Structure Interaction ◽  
Navier Stokes ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Smoothed Finite Element Method ◽  
Second Order Convergence ◽  
Nonlinear Solids ◽  
Element Method

A novel procedure, immersed smoothed finite element method (immersed S-FEM) is proposed for solving fluid–structure interaction (FSI) problems with moving nonlinear solids, using triangular type of mesh. The method consists of well-combined three ingredients: two-step Taylor-characteristic-based-Galerkin (TCBG) method for incompressible viscous Navier–Stokes flows, the S-FEM for explicit dynamics analysis of nonlinear solids and structures, and FSI conditions using immersed technique with a modified direct force evaluation technique. Such a combination is designed for ensuring stability, best possible efficiency, and simplicity and convenient to use. The proposed method is verified by numerical examples using triangular meshes, which demonstrate the validity, accuracy, and the second-order convergence properties of the present method in both space and time.

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