Implicit and explicit higher order time integration schemes for structural dynamics and fluid-structure interaction computations

In this paper higher order time integration schemes are applied to structural dynamics and fluid-structure interaction (FSI) simulations. So far only second order accurate time integration schemes have been successfully applied to fluid-structure interaction simulations. For equal accuracy the highe...

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Bibliographic Details
Published in:Computers & structures Vol. 83; no. 2; pp. 93 - 105
Main Authors: van Zuijlen, Alexander H., Bijl, Hester
Format: Journal Article Conference Proceeding
Language:English
Published: Oxford Elsevier Ltd 2005
Elsevier Science
Subjects:
Computational fluid dynamics
Computational structure dynamics
Exact sciences and technology
Fluid-structure interaction
Fundamental areas of phenomenology (including applications)
Higher order time integration
IMEX
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Computational fluid dynamics
IMEX
Fluid-structure interaction
Computational structure dynamics
Higher order time integration
Vibration
Fluid dynamics
Fluid structure interaction
Runge Kutta method
Modeling
Mixed problem
Non linear effect
Structural analysis
ISSN:0045-7949, 1879-2243
Online Access:Get full text
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Summary:In this paper higher order time integration schemes are applied to structural dynamics and fluid-structure interaction (FSI) simulations. So far only second order accurate time integration schemes have been successfully applied to fluid-structure interaction simulations. For equal accuracy the higher order time integration schemes can require less computational work then a lower order method, leading to a higher computational efficiency. In the partitioned FSI simulations on a one-dimensional piston test problem, a mixed implicit/explicit (IMEX) time integration scheme is employed: the implicit scheme is used to integrate the fluid and structural dynamics, whereas an explicit Runge–Kutta scheme integrates the coupling terms. The resulting IMEX scheme retains the order of the implicit and explicit schemes. In the IMEX scheme considered, the implicit scheme consists of an explicit first stage, singly diagonally implicit Runge–Kutta (ESDIRK) scheme, which is a multi-stage, L-stable scheme. Since, the ESDIRK scheme has not been previously applied to structural dynamics, it is used to integrate a number of simple structural dynamics problems to investigate the performance of the scheme. The ESDIRK scheme allows a direct and efficient integration of the cases considered.
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ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2004.06.003