TY - JOUR

T1 - Solution techniques for the fully discretized equations in computation of fluid-structure interactions with the space-time formulations

AU - Tezduyar, Tayfun E.

AU - Sathe, Sunil

AU - Stein, Keith

N1 - Funding Information:
This work was supported by the US Army Natick Soldier Center (Contract No. DAAD16-03-C-0051), NSF (Grant No. EIA-0116289), and NASA Johnson Space Center (Grant No. NAG9-1435).

PY - 2006/8/15

Y1 - 2006/8/15

N2 - We provide an overview of the solution techniques we have developed for the fully discretized equations encountered at every time step in computation of fluid-structure interactions with the space-time techniques. These coupled, nonlinear equations are generated from the finite element discretization of the governing equations for the fluid mechanics, structural mechanics and the motion of the fluid mechanics mesh. The fluid mechanics equations are discretized with the deforming-spatial-domain/stabilized space-time formulation. The mesh motion is governed by the equations of elasticity, with the smaller elements stiffened in the finite element formulation. The coupled, fully discretized equations are solved with the block-iterative, quasi-direct and direct coupling methods. We present numerical examples with incompressible flows and membrane and cable structures.

AB - We provide an overview of the solution techniques we have developed for the fully discretized equations encountered at every time step in computation of fluid-structure interactions with the space-time techniques. These coupled, nonlinear equations are generated from the finite element discretization of the governing equations for the fluid mechanics, structural mechanics and the motion of the fluid mechanics mesh. The fluid mechanics equations are discretized with the deforming-spatial-domain/stabilized space-time formulation. The mesh motion is governed by the equations of elasticity, with the smaller elements stiffened in the finite element formulation. The coupled, fully discretized equations are solved with the block-iterative, quasi-direct and direct coupling methods. We present numerical examples with incompressible flows and membrane and cable structures.

KW - FSI

KW - Fluid-structure interactions

KW - Iterative and direct coupling techniques

KW - Light structures

KW - Space-time finite elements

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U2 - 10.1016/j.cma.2005.08.023

DO - 10.1016/j.cma.2005.08.023

M3 - Article

AN - SCOPUS:33745390125

VL - 195

SP - 5743

EP - 5753

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 41-43

ER -