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A fictitious domain/distributed Lagrange multiplier based fluid-structure interaction scheme with hierarchical B-Spline grids

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2016年 301卷 1-27页

作者： Kadapa, C. Dettmer, W. G. Peric, D. Swansea Univ Coll Engn Zienkiewicz Ctr Computat Engn Fabian Way Swansea SA1 8EN W Glam Wales

We present a numerical scheme for fluid-structure interaction based on hierarchical B-Spline grids and fictitious domain/distributed Lagrange multipliers. The incompressible Navier-Stokes equations are solved over a Cartesian grid discretised with B-Splines. The fluid grid near the immersed solids is refined locally using hierarchical B-Splines. The immersed solid is modelled as geometrically-exact beam discretised with standard linear Lagrange shape functions. The kinematic constraint at the fluid-solid interface is enforced with distributed Lagrange multipliers. The unconditionally-stable and second-order accurate generalised-a method is used for integration in time for both the fluid and solid domains. A fully-implicit and fully-coupled solution scheme is developed by using the Newton-Raphson method to solve the non-linear system of equations obtained with Galerkin weak formulation. First, the spatial and temporal convergence of the proposed scheme is assessed by studying steady and unsteady flow past a fixed cylinder. Then, the scheme is applied to several benchmark problems to demonstrate the efficiency and robustness of the proposed scheme. The results obtained with the present scheme are compared with the reference values. (C) 2015 Elsevier B.V. All rights reserved.

关键词： Fictitious domain methods Immersed boundary methods fluid-structure interaction Hierarchical B-Splines Distributed Lagrange multipliers Flow-induced vibrations

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FaCSI: A block parallel preconditioner for fluid-structure interaction in hemodynamics

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JOURNAL OF COMPUTATIONAL PHYSICS 2016年 327卷 700-718页

作者： Deparis, Simone Forti, Davide Grandperrin, Gwenol Quarteroni, Alfio Ecole Polytech Fed Lausanne MATHICSE Math Inst Computat Sci & Engn CMCS Chair Modeling & Sci Comp Stn 8 CH-1015 Lausanne Switzerland Politecn Milan Dept Math MOX Modeling & Sci Comp Via Bonardi 9 I-20133 Milan Italy

Modeling fluid-structure interaction (FSI) in the vascular system is mandatory to reliably compute mechanical indicators in vessels undergoing large deformations. In order to cope with the computational complexity of the coupled 3D FSI problem after discretizations in space and time, a parallel solution is often mandatory. In this paper we propose a new block parallel preconditioner for the coupled linearized FSI system obtained after space and time discretization. We name it FaCSI to indicate that it exploits the Factorized form of the linearized FSI matrix, the use of static Condensation to formally eliminate the interface degrees of freedom of the fluid equations, and the use of a SIMPLE preconditioner for saddle-point problems. FaCSI is built upon a block Gauss-Seidel factorization of the FSI Jacobian matrix and it uses ad-hoc preconditioners for each physical component of the coupled problem, namely the fluid, the structure and the geometry. In the fluid subproblem, after operating static condensation of the interface fluid variables, we use a SIMPLE preconditioner on the reduced fluid matrix. Moreover, to efficiently deal with a large number of processes, FaCSI exploits efficient single field preconditioners, e.g., based on domain decomposition or the multigrid method. We measure the parallel performances of FaCSI on a benchmark cylindrical geometry and on a problem of physiological interest, namely the blood flow through a patient-specific femoropopliteal bypass. We analyze the dependence of the number of linear solver iterations on the cores count (scalability of the preconditioner) and on the mesh size (optimality). (C) 2016 Elsevier Inc. All rights reserved.

关键词： fluid-structure interaction Scalable parallel preconditioners Finite element method Unstructured tetrahedral meshes High performance computing Navier-Stokes equations Hemodynamics

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Implicit immersed boundary method for fluid-structure interaction

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LHB 2017年第1期103卷 33-36页

作者： Shang-Gui Cai Abdellatif Ouahsine Julien Favier Yannick Hoarau Sorbonne Universités Université de Technologie de Compiègne CNRS UMR 7337 Roberval Centre de Recherche Royallieu CS 60319 60203 Compiègne Cedex France Aix Marseille Université CNRS Centrale Marseille M2P2 UMR 7340 13451 Marseille France Université de Strasbourg CNRS ICUBE UMR 7357 67000 Strasbourg France

A novel immersed boundary method is introduced for simulating the fluid-structure interaction problem. Unlike the body-conforming mesh method which imposes the no-slip boundary conditions directly on the immersed interface, the immersed boundary method adopts a boundary force for the presence of the immersed solid. Therefore, the fluid is simply simulated on a fixed Cartesian mesh irrespective the movement of the immersed solid, which circumvents the mesh quality issue that frequently happens in the body-conforming mesh method. To enforce the correct boundary condition, we derive an additional moving force equation. This additional equation is integrated into a second order accurate fractional step method and solved with the conjugate gradient method. The proposed method is validated with several one-way fluid-structure interaction *** nouvelle méthode de frontière immergée est proposée pour des applications d'interaction fluide-structure. Contrairement aux méthodes classiques qui nécessitent un remaillage pour se conformer à la frontière du solide (ex. ALE), les méthodes IBM permettent de calculer les forces au niveau de la surface immergée pour simuler l'interaction fluide-structure, sans avoir recours au remaillage. Cependant, ces méthodes IBM utilisent soit des schémas explicites, qui souvent ne permettent pas de vérifier les conditions aux limites au niveau de la frontière immergée, soit des schémas implicites, qui requièrent des temps de calcul assez long. Dans le présent travail, la méthode proposée est basée sur un schéma implicite en utilisant la méthode à pas fractionnaires d'ordre deux. La force imposée au niveau de la frontière immergée est calculée selon deux étapes. Tout d'abord, on affecte à chaque point de cette frontière la vitesse issue du fluide, ensuite on distribue la force qui en résulte aux nœuds avoisinants du solide. Les résultats numériques obtenus par comparaison avec des benchmarks sont probants et confirment les bonnes performan

关键词： fluid-structure interaction Immersed boundary method Fractional step method interaction fluide-structure Méthode de frontière immergée Méthode à pas fractionnaires

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A CBS-based partitioned semi-implicit coupling algorithm for fluid-structure interaction using MCIBC method

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2016年 298卷 252-278页

作者： He, Tao Shanghai Normal Univ Dept Civil Engn Shanghai 201418 Peoples R China Univ Birmingham Sch Civil Engn Birmingham B15 2TT W Midlands England

The characteristic-based split (CBS) scheme has been extensively utilized to address the fluid subproblem within fluid-structure interaction (FSI) analyses over the past decade. To cope with FSI, this article develops a CBS-based partitioned semi-implicit coupling algorithm where the CBS scheme serves not only for the fluid component but also for the entire coupling algorithm. At each time instant, the first step of the CBS scheme is explicitly treated together with the fluid mesh movement, while the remaining two steps are implicitly coupled with the structural motion on the fluid mesh frozen temporarily. To retrieve the semi-implicit coupling style, a mass source term is iteratively updated in the pressure Poisson equation for elements adhering to the fluid-structure interface. The present algorithm provides the stabilized solution of the Navier-Stokes equations and the computational reduction without stability drop, thus inheriting the virtues of the CBS scheme and the projection-based semiimplicit coupling method. Within our coupling algorithm, FSI is achieved by the modified combined interface boundary condition (MCIBC) method which is re-derived in a more concise fashion. A weak implementation of the MCIBC method is proposed to avoid deteriorating the numerical results. The MCIBC method rectifies the limitations of its original counterpart, making itself applicable to fluid-rigid/flexible body interaction. Flow-induced vibrations of various bluff bodies are analyzed to test the feasibility of the proposed methodology. The overall numerical results agree well with the existing data, demonstrating the validity and the applicability of the present approach. (C) 2015 Elsevier B.V. All rights reserved.

关键词： fluid-structure interaction Semi-implicit CBS CIBC method

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Parallel coupling numerics for partitioned fluid-structure interaction simulations

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2016年第4期71卷 869-891页

作者： Mehl, Miriam Uekermann, Benjamin Bijl, Hester Blom, David Gatzhammer, Bernhard van Zuijlen, Alexander Univ Stuttgart Inst Parallel & Distributed Syst Univ Str 38 D-70174 Stuttgart Germany Tech Univ Munich Dept Comp Sci Boltzmannstr 3 Garching Germany Delft Univ Technol Fac Aerosp Engn Kluyverweg 1 NL-2629 HS Delft Netherlands

Within the last decade, very sophisticated numerical methods for the iterative and partitioned solution of fluid structure interaction problems have been developed that allow for high accuracy and very complex scenarios. The combination of these two aspects - accuracy and complexity - demands very high computational grid resolutions and, thus, high performance computing methods designed for massively parallel hardware architectures. For those architectures, currently used coupling methods, which mainly work with a staggered execution of the fluid and the structure solver, i.e., the execution of one solver after the other in every outer iteration, lead to severe load imbalances: if the flow solver, e.g., scales on a very large number of processors but the structural solver does not due to its limited amount of data and required operations, almost all processors assigned to the coupled simulations are idle during the execution of the structure solver. We propose two new iterative coupling methods that allow for the simultaneous execution of flow and structure solvers. In both cases, we show that pure fixed-point iterations based on the parallel execution of the solvers do not lead to good results, but the combination of parallel solver execution and so-called quasi-Newton methods yields very efficient and robust methods. Those methods are known to be very efficient also for the stabilization of critical scenarios solved with the standard staggered solver execution. We demonstrate the competitive convergence of our methods for various established benchmark scenarios. Both methods are perfectly suited for use with black-box solvers because the quasi-Newton approach uses solely input and output information of the solvers to approximate the effect of the unknown Jacobians that would be required in a standard Newton solver. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Partitioned simulation Parallel coupling methods Quasi-Newton High performance computing

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A hybrid variational-collocation immersed method for fluid-structure interaction using unstructured T-splines

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2016年第11期105卷 855-880页

作者： Casquero, Hugo Liu, Lei Bona-Casas, Carles Zhang, Yongjie Gomez, Hector Univ A Coruna Dept Metodos Matemat Campus A Coruna La Coruna 15071 Spain Carnegie Mellon Univ Dept Mech Engn Pittsburgh PA 15213 USA

We present a hybrid variational-collocation, immersed, and fully-implicit formulation for fluid-structure interaction (FSI) using unstructured T-splines. In our immersed methodology, we define an Eulerian mesh on the whole computational domain and a Lagrangian mesh on the solid domain, which moves arbitrarily on top of the Eulerian mesh. Mathematically, the problem reduces to solving three equations, namely, the linear momentum balance, mass conservation, and a condition of kinematic compatibility between the Lagrangian displacement and the Eulerian velocity. We use a weighted residual approach for the linear momentum and mass conservation equations, but we discretize directly the strong form of the kinematic relation, deriving a hybrid variational-collocation method. We use T-splines for both the spatial discretization and the information transfer between the Eulerian mesh and the Lagrangian mesh. T-splines offer us two main advantages against non-uniform rational B-splines: they can be locally refined and they are unstructured. The generalized- method is used for the time discretization. We validate our formulation with a common FSI benchmark problem achieving excellent agreement with the theoretical solution. An example involving a partially immersed solid is also solved. The numerical examples show how the use of T-junctions and extraordinary nodes results in an accurate, efficient, and flexible method. Copyright (c) 2015 John Wiley & Sons, Ltd.

关键词： fluid-structure interaction isogeometric analysis mmersed methods analysis-suitable T-splines variational multiscale collocation

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Thermally induced stresses on radiant heating tubes including the effect of fluid-structure interaction

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APPLIED THERMAL ENGINEERING 2016年 94卷 364-374页

作者： Hellenkamp, Martin Pfeifer, Herbert Rhein Westfal TH Aachen Dept Ind Furnaces & Heat Engn Aachen Germany

High temperatures as well as local temperature peaks and their gradients within the individual components of industrial furnaces are a challenge for the durability of the furnace. In order to optimize furnace component design and thereby increase the life expectancy of each component being considered, the exact determination of local temperature distributions is indispensable. This necessitates a coupled examination of fluid flow and thermal processes, including the calculation of the resulting stresses for the considered component. In order to introduce the so-called fluid-structure interaction (FSI) in the field of plant engineering and industrial furnace engineering, a radiant heating tube was selected for calculations concerning temperature and stress distribution, since radiant heating tubes are especially subject to considerable thermal and mechanical loading. (C) 2015 Elsevier Ltd. All rights reserved.

关键词： Radiant tubes Thermal stresses Temperature gradients Thermal expansion fluid-structure interaction

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A moving-least-squares immersed boundary method for simulating the fluid-structure interaction of elastic bodies with arbitrary thickness

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JOURNAL OF COMPUTATIONAL PHYSICS 2016年第0期325卷 201-225页

作者： de Tullio, M. D. Pascazio, G. Politecn Bari DMMM Ctr Eccellenza Meccan Computaz CEMeC Via Re David 200 I-70125 Bari Italy

A versatile numerical method is presented to predict the fluid-structure interaction of bodies with arbitrary thickness immersed in an incompressible fluid, with the aim of simulating different biological engineering applications. A direct-forcing immersed boundary method is adopted, based on a moving-least-squares approach to reconstruct the solution in the vicinity of the immersed surface. A simple spring-network model is considered for describing the dynamics of deformable structures, so as to easily model and simulate different biological systems that not always may be described by simple continuum models, without affecting the computational time and simplicity of the overall method. The fluid and structures are coupled in a strong way, in order to avoid instabilities related to large accelerations of the bodies. The effectiveness of the method is validated by means of several test cases involving: rigid bodies, either falling in a quiescent fluid, fluttering or tumbling, or transported by a shear flow;infinitely thin elastic structures with mass, such as a two-dimensional flexible filament and, concerning three-dimensional cases, a flapping flag and an inverted flag in a free stream;finally, a three-dimensional model of a bio-prosthetic aortic valve opening and closing under a pulsatile flowrate. A very good agreement is obtained in all the cases, comparing with available experimental data and numerical results obtained by different methods. In particular, the method is shown to be second-order accurate by means of a mesh-refinement study. Moreover, it is able to provide results comparable with those of sharp direct-forcing approaches, and can manage high pressure differences across the surface, still obtaining very smooth hydrodynamic forces. (C) 2016 Elsevier Inc. All rights reserved.

关键词： Immersed boundary method fluid-structure interaction Spring-network model Direct forcing with moving-least-squares Elastic zero-thickness body Flexible flag

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A SIMPLE-based monolithic implicit method for strong-coupled fluid-structure interaction problems with free surfaces

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2016年 299卷 90-115页

作者： Hu, Zhe Tang, Wenyong Xue, Hongxiang Zhang, Xiaoying Shanghai Jiao Tong Univ State Key Lab Ocean Engn Shanghai 200240 Peoples R China Collaborat Innovat Ctr Adv Ship & Deep Sea Explor Shanghai 200240 Peoples R China Bur Veritas Marine China Co Ltd Shanghai 200011 Peoples R China

A SIMPLE-based implicit method (SBMIM) for the strong coupling of fluid and structure is proposed. The SBMIM solves the Navier-Stokes (NS) equations of fluid by using a modified SIMPLE algorithm, which takes into account the structure governing equation. The free surfaces are reconstructed using the volume of fluid method (VOF), and the structure equation, embedded into the fluid solver, is processed with the widely used finite element method (FEM). We validate SBMIM by performing numerical simulations of a dam-breaking issue, a tank sloshing problem, and the free oscillation of a wash bulkhead in a liquid tank, and making comparisons against experimental measurements, theoretical results as well as other numerical solutions. The SBMIM is proved to be stable and robust under extreme simulation circumstances, and is applied to the strong coupling of wave impact on deck structure. (C) 2015 Elsevier B.V. All rights reserved.

关键词： SIMPLE-based monolithic implicit method fluid-structure interaction Hydroelastic slamming Hydroelastic vibration Rogue wave impact

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BEM and FEM analysis of fluid-structure interaction in a double tank

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ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 2016年 67卷 13-25页

作者： Ravnik, J. Strelnikova, E. Gnitko, V. Degtyarev, K. Ogorodnyk, U. Univ Maribor Fac Mech Engn Smetanova Ulica 17 SI-2000 Maribor Slovenia Ukrainian Acad Sci AN Podgorny Inst Mech Engn Problems 2-10 D Pozharsky Str UA-61023 Kharkov Ukraine

In this paper we present a fluid-structure interaction analysis of shell structures with compartments partially filled with a liquid. The compound shell was a simplified model of a fuel tank. The shell is considered to be thin and Kirghoff-Lave linear theory hypotheses are applied. The liquid is ideal and incompressible. Its properties and the filling levels may be different in each compartment. The shell vibrations coupled with liquid sloshing under the force of gravity were considered. The shell and sloshing modes were analysed simultaneously. The coupled problem is solved using a coupled BEM and FEM in-house solver. The tank structure is modeled by FEM and the liquid sloshing in the fluid domain is described by BEM. The method relies on determining the fluid pressure from the system of singular integral equations. For its numerical solution, the boundary element method was applied. The boundary of the liquid computational domain is discretized by nine-node boundary elements. The quadratic interpolation of functions and linear interpolation of flux are involved. The natural frequencies were obtained for the cylindrical double tank with two compartments. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Baffles Free vibrations Boundary and finite element methods

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