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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Vydáno v:	Computers & structures Ročník 83; číslo 2; s. 93 - 105
Hlavní autoři:	van Zuijlen, Alexander H., Bijl, Hester
Médium:	Journal Article Konferenční příspěvek
Jazyk:	angličtina
Vydáno:	Oxford Elsevier Ltd 2005 Elsevier Science
Témata:	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
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Shrnutí:	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.
Bibliografie:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0045-7949 1879-2243
DOI:	10.1016/j.compstruc.2004.06.003