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Multiphase modeling of dynamic fluid-structure interaction during close-in explosion

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2008年第6期74卷 1019-1043页

作者： Xie, W. F. Young, Y. L. Liu, T. G. Princeton Univ Dept Civil & Environm Engn EQUAD E326 Princeton NJ 08544 USA Inst High Performance Comp Singapore 117528 Singapore

The modified ghost fluid method (MGFM) developed by Liu et al. (J. Comput. Phys. 2003;190:651-681) provides us a robust method to treat moving compressible gas-gas and gas-liquid interfaces. Recently, the MGFM was extended to treat compressible fluid-compressible structure interfaces, where the structure was assumed to be very thick or infinitely thick (Comput. Mech. 2007;40:667-681). In this work, the MGFM is applied to investigate the complex physics that occur during an underwater explosion inside a fluid-filled cylinder. Owing to the refraction of strong rarefaction waves at the fluid-structure interface and inside the thin cylinder wall, cavitation occurs next to the cylinder wall in the fluid;simultaneously, solid tension waves may appear next to the fluid-structure interface inside the structure. Both phenomena tend to cause the implicit double-shock approximate Riemann problem solver (the key component used to predict the fluid-structure interface status in the MGFM) to work less effectively in regions of low pressure and to be invalid when tension waves appear in the vicinity of the fluid-structure interface. To overcome these mentioned difficulties, the MGFM will be further developed in this work. Owing to the high initial pressure, short duration and high intensity of the shock load and cavitation reload, the compressibility of the structure becomes important, and the cylinder can be modeled as a compressible fluid-like medium. The hydro-elasto-plastic equation of state is, thus, used to describe the constitutive behavior of the compressible solid cylinder. A systematic study of the cavitation reload is conducted to examine the influence of the wall material, wall thickness, explosion distance, and explosion strength on the fluid and structural responses. Copyright (C) 2007 John Wiley & Sons, Ltd.

关键词： fluid-structure interaction modified ghost fluid method (MGFM) cavitation UNDEX

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Efficiency and accuracy of fluid-structure interaction simulations using an implicit partitioned approach

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COMPUTATIONAL MECHANICS 2008年第1期43卷 103-113页

作者： Sternel, D. C. Schaefer, M. Heck, M. Yigit, S. Tech Univ Darmstadt D-64297 Darmstadt Germany

An implicit partitioned arbitrary Lagrangian- Eulerian approach for fluid-structure interaction computations is considered. Enhancements of the coupled solution procedure by nonlinear multigrid techniques, an adaptive... 详细信息

关键词： fluid-structure interaction arbitrary lagrangian-eulerian implicit approach multigrid mesh movement

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Splitting methods based on algebraic factorization for fluid-structure interaction

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SIAM JOURNAL ON SCIENTIFIC COMPUTING 2008年第4期30卷 1778-1805页

作者： Badia, Santiago Quaini, Annalisa Quarteroni, Alfio Univ Politecn Cataluna Int Ctr Numer Methods Engn CIMNE Barcelona 08034 Spain Ecole Polytech Fed Lausanne IACS Chair Modeling & Sci Comp CH-1015 Lausanne Switzerland MOX Dipartimento Mat F Brioschi Politecn Milano I-20133 Milan Italy

We discuss in this paper the numerical approximation of fluid-structure interaction (FSI) problems dealing with strong added-mass effect. We propose new semi-implicit algorithms based on inexact block-LU factorization of the linear system obtained after the space-time discretization and linearization of the FSI problem. As a result, the fluid velocity is computed separately from the coupled pressure-structure velocity system at each iteration, reducing the computational cost. We investigate explicit-implicit decomposition through algebraic splitting techniques originally designed for the FSI problem. This approach leads to two different families of methods which extend to FSI the algebraic pressure correction method and the Yosida method, two schemes that were previously adopted for pure fluid problems. Furthermore, we have considered the inexact factorization of the fluid-structure system as a preconditioner. The numerical properties of these methods have been tested on a model problem representing a blood-vessel system.

关键词： fluid-structure interaction semi-implicit coupling inexact factorization algebraic splitting methods added-mass effect blood flow

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Dynamic analysis of a tube bundle with fluid-structure interaction modelling using a homogenisation method

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2008年第9-12期197卷 1080-1099页

作者： Sigrist, Jean-Francois Broc, Daniel DCN Prouls Serv Rech & Sci F-44620 La Montagne France CEA Saclay Lab Etud Sism F-91919 Gif Sur Yvette France

The present paper is concerned with the dynamic analysis of a tube bundle with fluid-structure interaction (FSI) modelling. Modelling of FSI is performed with a homogenisation approach which is compared with the classical coupled approach;this latter is based on a direct finite element discretisation of the coupled problem with all tubes modelling, while the former lies on a description of the fluid-tubes system through an equivalent continuous medium, characterised by a set of dynamic equations which describe the behaviour of the tubes and the fluid from a global point of view. Theoretical background of the method is recalled, numerical implementation in a finite element code is exposed and comparison of the "homogenisation" and "coupled" method is proposed in the case of a 10 x 10 tube bundle, in 2D and 3D configurations. Calculation of eigenmode shapes, frequencies and effective masses with the two methods is performed, as well as the dynamic response of the coupled system subjected to seismic loading. It is concluded that: (i) the computational time are significantly lowered when using the homogenisation method instead of the coupled method, since the problem size is reduced by 90%;(ii) the tube bundle dynamic is described in a space-averaged manner, which is sufficient to account for the main inertial coupling effects: no significant discrepancies are reported in the modal and dynamic analysis, when performed with the homogenisation and the coupled approaches, which makes the proposed method of practical interest for future engineering applications. (C) 2007 Elsevier B.V. All rights reserved.

关键词： fluid-structure interaction homogenisation method tube bundle modal analysis dynamic analysis temporal method spectral method effective masses

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Hydroelastic analysis of bodies that enter and exit water

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JOURNAL OF fluidS AND structureS 2013年 37卷 134-150页

作者： Piro, Dominic J. Maki, Kevin J. Univ Michigan Dept Naval Architecture & Marine Engn Ann Arbor MI 48109 USA

The entry and exit of flexible bodies through an air-water interface is studied using a tightly coupled fluid-structure interaction solver. The fluid domain is modeled using finite-volume CFD and the flexible structure is represented by a modal basis. The current work uses finite elements to generate the structural mode shapes and frequencies. The modal description allows for a reduction in structural degrees of freedom to reduce computation time. A linearized boundary condition is used on the mutual interface to eliminate mesh deformation. The accuracy of the method is quantified using the constant-velocity-wedge-impact problem. The quality of the fluid solution for the entry and exit problem is evaluated using a rigid wedge case and comparison to Von Karman and Wagner theories. Finally, the response of an elastic wedge during entry and exit is studied with the fluid-structure interaction solver. The results are used to assess two common approximations, namely the rigid-quasi-static and rigid-dynamic approximations. It is shown that for entry and exit, hydroelastic effects may be important for a wide range of loading conditions. (c) 2012 Elsevier Ltd. All rights reserved.

关键词： Hydroelasticity fluid-structure interaction Wedge impact Wedge exit Slamming Computational fluid dynamics

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An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions

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SIAM JOURNAL ON SCIENTIFIC COMPUTING 2008年第2期30卷 731-763页

作者： Nobile, F. Vergara, C. Politecn Milan Dept Matemat F Brioschi MOX Modellist & Calcolo Sci I-20133 Milan Italy

In this work we focus on the modeling and numerical simulation of the fluid-structure interaction mechanism in vascular dynamics. We first propose a simple membrane model to describe the deformation of the arterial wall, which is derived from the Koiter shell equations and is applicable to an arbitrary geometry. Secondly, we consider a reformulation of the fluid-structure problem, in which the newly derived membrane model, thanks to its simplicity, is embedded into the fluid equations and will appear as a generalized Robin boundary condition. The original problem is then reduced to the solution of subsequent fluid equations defined on a moving domain and may be achieved with a fluid solver only. We also derive a stability estimate for the resulting numerical scheme. Finally, we propose new out flow absorbing boundary conditions, which are easy to implement and allow us to reduce significantly the spurious pressure wave reflections that typically appear in artificially truncated computational domains. We present several numerical results showing the effectiveness of the proposed approaches.

关键词： fluid-structure interaction membrane model absorbing boundary conditions Navier-Stokes equations Womersley profile finite elements time marching schemes

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Solvers for large-displacement fluid-structure interaction problems: segregated versus monolithic approaches

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COMPUTATIONAL MECHANICS 2008年第1期43卷 91-101页

作者： Heil, Matthias Hazel, Andrew L. Boyle, Jonathan Univ Manchester Sch Math Manchester M13 9PL Lancs England

We compare the relative performance of monolithic and segregated (partitioned) solvers for large- displacement fluid-structure interaction (FSI) problems within the framework of OOMPH-LIB, the object-oriented multi-physics finite-element library, available as open-source software at http://***. Monolithic solvers are widely acknowledged to be more robust than their segregated counterparts, but are believed to be too expensive for use in large-scale problems. We demonstrate that monolithic solvers are competitive even for problems in which the fluid-solid coupling is weak and, hence, the segregated solvers converge within a moderate number of iterations. The efficient monolithic solution of large-scale FSI problems requires the development of preconditioners for the iterative solution of the linear systems that arise during the solution of the monolithically coupled fluid and solid equations by Newton's method. We demonstrate that recent improvements to OOMPH-LIB's FSI preconditioner result in mesh-independent convergence rates under uniform and non-uniform (adaptive) mesh refinement, and explore its performance in a number of two- and three-dimensional test problems involving the interaction of finite-Reynolds-number flows with shell and beam structures, as well as finite-thickness solids.

关键词： fluid-structure interaction monolithic solvers preconditioning

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Vortex-induced vibrations of a diamond cross-section: Sensitivity to corner sharpness

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JOURNAL OF fluidS AND structureS 2013年 39卷 371-390页

作者： Leontini, Justin S. Thompson, Mark C. Monash Univ FLAIR Dept Mech & Aerosp Engn Melbourne Vic 3800 Australia

This paper studies the fluid-structure interaction of an elastically mounted square cross-section cylinder immersed in a free stream. The cross-section is mounted such that its sides are at 45 to the free stream direction, in a "diamond" configuration, and its motion is constrained to the transverse direction relative to the flow direction. Apart from the cross-section, this setup is the same as the majority of single-degree-of-freedom vortex-induced vibration studies of cylinders. Two-dimensional direct numerical simulations of this system have been performed. The Reynolds number based on the point-to-point distance of the cross-section has been fixed at Re=200). Simulations at this Reynolds number allow a direct comparison with previous results from circular cylinders, and therefore focus directly on the impact of the geometry. The sensitivity of the flow, and therefore the motion of the cylinder, to geometrical effects is considered. This is done by rounding the two side corners (those pointing across the flow) at a given radius. For well-rounded corners, the flow behaviour resembles that of a circular cylinder undergoing vortex-induced vibration. However, below a critical radius, the dynamics are considerably altered. Highly disordered and irregular wakes and body motions are observed, as well as a synchronized, periodic P+S wake mode (Williamson and Roshko, 1988), which consists of a pair of vortices on one side, and a single vortex on the other side, shed per oscillation cycle, which results in a non-zero mean lift force. A period-doubled version of this P+S wake is also presented. The spatial structure, and the spatio-temporal symmetries of each of these modes is reported. The results show that even though the spatio-temporal symmetry of the flow is unaffected by the geometry when the body is rigidly mounted (the flow always saturating to a Karman vortex street) geometric features such as sharp corners can induce a number of spontaneous symmetry breaking bifu

关键词： Vortex-induced vibration fluid-structure interaction Symmetry breaking

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Isogeometric fluid-structure interaction: theory, algorithms, and computations

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COMPUTATIONAL MECHANICS 2008年第1期43卷 3-37页

作者： Bazilevs, Y. Calo, V. M. Hughes, T. J. R. Zhang, Y. Univ Calif San Diego Dept Struct Engn La Jolla CA 92093 USA Univ Texas Austin Inst Computat Engn & Sci Austin TX 78712 USA Carnegie Mellon Univ Pittsburgh PA 15213 USA

We present a fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary Lagrangian-Eulerian description is utilized for the fluid subdomain and the Lagrangian description is utilized for the solid subdomain. Particular attention is paid to the derivation of various forms of the conservation equations;the conservation properties of the semi-discrete and fully discretized systems;a unified presentation of the generalized-alpha time integration method for fluid-structure interaction;and the derivation of the tangent matrix, including the calculation of shape derivatives. A NURBS-based isogeometric analysis methodology is used for the spatial discretization and three numerical examples are presented which demonstrate the good behavior of the methodology.

关键词： blood flow cardiovascular modeling fluid-structure interaction hyperelastic solids incompressible fluids isogeometric analysis mesh movement moving domains NURBS shape derivatives space-time Piola transformation

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Numerical simulation of fluid-structure interaction using modified Ghost fluid Method and Naviers equations

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JOURNAL OF SCIENTIFIC COMPUTING 2008年第1期36卷 45-68页

作者： Liu, T. G. Ho, J. Y. Khoo, B. C. Chowdhury, A. W. Inst High Performance Comp Singapore 117528 Singapore Natl Univ Singapore Dept Mech Engn Singapore 119260 Singapore Natl Univ Singapore Singapore MIT Alliance Singapore 117576 Singapore

In this work, we deal with the 1D compressible fluid coupled with elastic solid in an Eulerian-Lagrangian system. To facilitate the analysis, the Naviers equation for elastic solid is cast into a 2x2 system similar to the Euler equation but in Lagrangian coordinate. The modified Ghost fluid Method is employed to treat the fluid-elastic solid coupling, where an Eulerian-Lagrangian Riemann problem is defined and a nonlinear characteristic from the fluid and a Riemann invariant from the solid are used to predict and define the ghost fluid states. Theoretical analysis shows that the present approach is accurate in the sense of approximating the solution of the Riemann problem at the interface. Numerical validation of this approach is also accomplished by extensive comparison to 1D problems (both water-solid and gas-solid) with their respective analytical solutions.

关键词： fluid-structure interaction Eulerian-Lagrangian coupling Eulerian-Lagrangian Riemann problem Ghost fluid Method modified Ghost fluid Method

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