A higher-order time integration algorithm for the simulation of nonlinear fluid–structure interaction

In this paper higher-order time integration schemes are applied to nonlinear fluid–structure interaction (FSI) simulations. For a given accuracy, we investigate the efficiency of higher-order time integration schemes compared to lower-order methods. In the partitioned FSI simulations on a one-dimens...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 63; no. 5; pp. e1597 - e1605
Main Authors:	van Zuijlen, A.H., Bijl, H.
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 30.11.2005
Subjects:	Fluid–structure interaction Higher-order time integration Partitioned integration Partitioned integration Higher-order time integration Fluid–structure interaction
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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Summary:	In this paper higher-order time integration schemes are applied to nonlinear fluid–structure interaction (FSI) simulations. For a given accuracy, we investigate the efficiency of higher-order time integration schemes compared to lower-order methods. In the partitioned FSI simulations on a one-dimensional piston 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.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2005.01.054