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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| Vydané v: | Nonlinear analysis Ročník 63; číslo 5; s. e1597 - e1605 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
30.11.2005
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| ISSN: | 0362-546X, 1873-5215 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Bijl, H. van Zuijlen, A.H. |
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| Cites_doi | 10.1016/S0045-7825(99)00206-6 10.1016/S0045-7825(00)00386-8 10.1006/jcph.2001.6932 10.1016/S0045-7825(00)00173-0 10.1016/S0168-9274(02)00138-1 10.1016/0045-7825(95)92707-9 10.1006/jcph.2002.7059 10.2514/2.1975 10.1016/S0045-7825(98)00151-0 |
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| Keywords | Partitioned integration Higher-order time integration Fluid–structure interaction |
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| References | Piperno, Farhat, Larrouturou (bib11) 1995; 124 C. Hirsch, Numerical Computation of Internal and External Flows, vol. 1: Fundamentals of Numerical discretization, Wiley, New York, 1994. van Zuijlen, Bijl (bib12) 2004 Piperno, Farhat (bib10) 2001; 190 Bijl, Carpenter, Vatsa, Kennedy (bib1) 2002; 179 Geuzaine, Brown, Harris, Farhat (bib5) 2003; 41 Hairer, Norsett, Wanner (bib7) 2000 Farhat, Lesoinne (bib4) 2000; 182 Guillard, Farhat (bib6) 2000; 190 Farhat, Geuzaine, Grandmont (bib3) 2001; 174 Kennedy, Carpenter (bib9) 2003; 44 Blom (bib2) 1998; 167 Geuzaine (10.1016/j.na.2005.01.054_bib5) 2003; 41 Kennedy (10.1016/j.na.2005.01.054_bib9) 2003; 44 Bijl (10.1016/j.na.2005.01.054_bib1) 2002; 179 Hairer (10.1016/j.na.2005.01.054_bib7) 2000 Farhat (10.1016/j.na.2005.01.054_bib4) 2000; 182 Guillard (10.1016/j.na.2005.01.054_bib6) 2000; 190 van Zuijlen (10.1016/j.na.2005.01.054_bib12) 2004 Blom (10.1016/j.na.2005.01.054_bib2) 1998; 167 Piperno (10.1016/j.na.2005.01.054_bib11) 1995; 124 Farhat (10.1016/j.na.2005.01.054_bib3) 2001; 174 Piperno (10.1016/j.na.2005.01.054_bib10) 2001; 190 10.1016/j.na.2005.01.054_bib8 |
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| Title | A higher-order time integration algorithm for the simulation of nonlinear fluid–structure interaction |
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