Robust and provably second-order explicit-explicit and implicit-explicit staggered time-integrators for highly non-linear compressible fluid-structure interaction problems

An explicit–explicit staggered time‐integration algorithm and an implicit–explicit counterpart are presented for the solution of non‐linear transient fluid–structure interaction problems in the Arbitrary Lagrangian–Eulerian (ALE) setting. In the explicit–explicit case where the usually desirable sim...

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Vydáno v:	International journal for numerical methods in engineering Ročník 84; číslo 1; s. 73 - 107
Hlavní autoři:	Farhat, C., Rallu, A., Wang, K., Belytschko, T.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Chichester, UK John Wiley & Sons, Ltd 01.10.2010 Wiley
Témata:	added mass Computational fluid dynamics Exact sciences and technology Fluid flow Fluid-structure interaction Fluids Fundamental areas of phenomenology (including applications) implosion loosely coupled Mathematical models Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) non-linear fluid-structure Nonlinearity Numerical analysis. Scientific computation Numerical stability Physics Runge-Kutta method Sciences and techniques of general use second-order time-accurate Solid mechanics staggered time-integrator Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Compressible fluid Difference scheme Euler Lagrange equation Fluid structure interaction loosely coupled Modeling Staggered arrangement Dynamic model Numerical stability Implosion Collapse Transient response Immersed body Numerical integration Vibration second-order time-accurate non-linear fluid-structure Revolution shell Runge Kutta method Added mass Hydroelasticity Cylindrical shell Non linear effect Time integration staggered time-integrator
ISSN:	0029-5981, 1097-0207, 1097-0207
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Popis
Shrnutí:	An explicit–explicit staggered time‐integration algorithm and an implicit–explicit counterpart are presented for the solution of non‐linear transient fluid–structure interaction problems in the Arbitrary Lagrangian–Eulerian (ALE) setting. In the explicit–explicit case where the usually desirable simultaneous updating of the fluid and structural states is both natural and trivial, staggering is shown to improve numerical stability. Using rigorous ALE extensions of the two‐stage explicit Runge–Kutta and three‐point backward difference methods for the fluid, and in both cases the explicit central difference scheme for the structure, second‐order time‐accuracy is achieved for the coupled explicit–explicit and implicit–explicit fluid–structure time‐integration methods, respectively, via suitable predictors and careful stagings of the computational steps. The robustness of both methods and their proven second‐order time‐accuracy are verified for sample application problems. Their potential for the solution of highly non‐linear fluid–structure interaction problems is demonstrated and validated with the simulation of the dynamic collapse of a cylindrical shell submerged in water. The obtained numerical results demonstrate that, even for fluid–structure applications with strong added mass effects, a carefully designed staggered and subiteration‐free time‐integrator can achieve numerical stability and robustness with respect to the slenderness of the structure, as long as the fluid is justifiably modeled as a compressible medium. Copyright © 2010 John Wiley & Sons, Ltd.
Bibliografie:	ark:/67375/WNG-9H5818CN-L Office of Naval Research - No. N00014-06-1-0505; No. N00014-09-C-015 ArticleID:NME2883 istex:E575102CA273CA63E43C97C997B5FFB592BA61F3 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0029-5981 1097-0207 1097-0207
DOI:	10.1002/nme.2883