ICOSAHOM '89 Proceedings of the conference on Spectral and high order methods for partial differential equations
Numerical Initial Value Problems in Ordinary Differential Equations
Numerical Initial Value Problems in Ordinary Differential Equations
Journal of Computational Physics
Fluid-Structure Interaction by the Spectral Element Method
Journal of Scientific Computing
Benchmark problems for incompressible fluid flows with structural interactions
Computers and Structures
Implicit coupling of partitioned fluid-structure interaction problems with reduced order models
Computers and Structures
Journal of Computational Physics
Stability of a coupling technique for partitioned solvers in FSI applications
Computers and Structures
A parallel spectral element method for dynamic three-dimensional nonlinear elasticity problems
Computers and Structures
Journal of Computational Physics
A Newton method using exact jacobians for solving fluid-structure coupling
Computers and Structures
BDF-like methods for nonlinear dynamic analysis
Journal of Computational Physics
Stable and accurate pressure approximation for unsteady incompressible viscous flow
Journal of Computational Physics
Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics
SIAM Journal on Scientific Computing
Journal of Computational Physics
Multidisciplinary impact damage prognosis methodology for hybrid structural propulsion systems
Computers and Structures
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We develop, analyze and validate a new method for simulating fluid-structure interactions (FSIs), which is based on fictitious mass and fictitious damping in the structure equation. We employ a partitioned method for the fluid and structure motions in conjunction with sub-iteration and Aitken relaxation. In particular, the use of such fictitious parameters requires sub-iterations in order to reduce the induced error in addition to the local temporal truncation error. To this end, proper levels of tolerance for terminating the sub-iteration procedure have been obtained in order to recover the formal order of temporal accuracy. For the coupled FSI problem, these fictitious terms have a significant effect, leading to better convergence rate and hence substantially smaller number of sub-iterations. Through analysis we identify the proper range of these parameters, which we then verify by corresponding numerical tests. We implement the method in the context of spectral element discretization, which is more sensitive than low-order methods to numerical instabilities arising in the explicit FSI coupling. However, the method we present here is simple and general and hence applicable to FSI based on any other discretization. We demonstrate the effectiveness of the method in applications involving 2D vortex-induced vibrations (VIV) and in 3D flexible arteries with structural density close to blood density. We also present 3D results for a patient-specific aneurysmal flow under pulsatile flow conditions examining, in particular, the sensitivity of the results on different values of the fictitious parameters.