Numerical Benchmarking of Fluid-Structure Interaction: A Comparison of Different Discretization and Solution Approaches

Turek, Stefan; Hron, J.; Razzaq, Mudassar; Wobker, Hilmar; Schäfer, Michael

doi:10.1007/978-3-642-14206-2_15

Cited by 52 publications

(87 citation statements)

References 6 publications

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“…If ρ ∞ = 1 the generalized-α method reduces to the Newmark method. By setting (17) (18) the generalized-α scheme replaces momentum equation (14) by (19) By using (17)- (18) and (15)- (16), it is possible to rewrite equation (19) in terms of the only unknown v n+1 . Concerning the particular choice of the generalized-α method and parameters, we take α m = −1, α k = 0, γ = 3/2 and β = 1, which correspond to ρ ∞ = 0.…”

Section: The Structure Equationsmentioning

confidence: 99%

“…This resulted in benchmark data available online to the scientific community for the validation of CFD simulations [15]. Other significant efforts towards the definition of a shared test bed for numerical solvers for partial differential equations, and specifically for flow problems, include the works by Turek and coworkers for the verification of solvers for the Navier-Stokes equations [16] and for the fluid-structure interaction problem [17,18].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Validation of an Open Source Framework for the Simulation of Blood Flow in Rigid and Deformable Vessels

Passerini

Quaini

Villa

et al. 2013

Volume 1A: Abdominal Aortic Aneurysms; Active and Reactive Soft Matter; Atherosclerosis; BioFluid Mechanics; Education; Biotran

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SUMMARYWe discuss in this paper the validation of an open source framework for the solution of problems arising in hemodynamics. The proposed framework is assessed through experimental data for fluid flow in an idealized medical device with rigid boundaries and a numerical benchmark for flow in compliant vessels. The core of the framework is an open source parallel finite element library that features several algorithms to solve both fluid and fluid-structure interaction problems. The numerical results for the flow in the idealized medical device (consisting of a conical convergent, a narrow throat, and a sudden expansion) are in good quantitative agreement with the measured axial components of the velocity and pressures for three different flow rates corresponding to laminar, transitional, and turbulent regimes. We emphasize the crucial role played by the accuracy in performing numerical integration, mesh, and time step to match the measurements. The numerical fluid-structure interaction benchmark deals with the propagation of a pressure wave in a fluid-filled elastic tube. The computed pressure wave speed and frequency of oscillations, and the axial velocity of the fluid on the tube axis are close to the values predicted by the analytical solution associated with the benchmark. A detailed account of the methods used for both benchmarks is provided.

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Section: The Structure Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Validation of an Open Source Framework for the Simulation of Blood Flow in Rigid and Deformable Vessels

Passerini

Quaini

Villa

et al. 2013

Volume 1A: Abdominal Aortic Aneurysms; Active and Reactive Soft Matter; Atherosclerosis; BioFluid Mechanics; Education; Biotran

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show abstract

“…Then, the total equivalent mass on an element can be calculated by dividing the product which can be obtained through multiplying the area of the element's face bearing pressure by the pressure value, by the current acceleration a n " .. u ptq. At last, the obtained total equivalent mass is distributed to the four nodes owned by the element using Equation (21), where S i is the area of the face with pressure owned by the element; m i , i " 1, 2, 3, 4 means the equivalent mass at each node. Once the procedure is programmed, the whole finite element model can be processed automatically.…”

Section: Results Comparison and Methods Validationmentioning

confidence: 99%

“…Zhao, et al [18] have used the ALE to simulate the fluid-structure interaction of the AP1000 water tank subjected to earthquakes and obtained the optimal height of water to reduce seismic responses. It is thus clear that the ALE based fluid-structure interaction algorithm can be used to deal with the coupling of liquid and its corresponding storage vessel [19][20][21]. Thus, the ALE based fluid-structure interaction approach is adopted in this study for analyses of the water conveyance tunnel subjected to earthquakes.…”

Section: Introductionmentioning

confidence: 99%

Parallel Dynamic Analysis of a Large-Scale Water Conveyance Tunnel under Seismic Excitation Using ALE Finite-Element Method

et al. 2016

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Abstract:Parallel analyses about the dynamic responses of a large-scale water conveyance tunnel under seismic excitation are presented in this paper. A full three-dimensional numerical model considering the water-tunnel-soil coupling is established and adopted to investigate the tunnel's dynamic responses. The movement and sloshing of the internal water are simulated using the multi-material Arbitrary Lagrangian Eulerian (ALE) method. Nonlinear fluid-structure interaction (FSI) between tunnel and inner water is treated by using the penalty method. Nonlinear soil-structure interaction (SSI) between soil and tunnel is dealt with by using the surface to surface contact algorithm. To overcome computing power limitations and to deal with such a large-scale calculation, a parallel algorithm based on the modified recursive coordinate bisection (MRCB) considering the balance of SSI and FSI loads is proposed and used. The whole simulation is accomplished on Dawning 5000 A using the proposed MRCB based parallel algorithm optimized to run on supercomputers. The simulation model and the proposed approaches are validated by comparison with the added mass method. Dynamic responses of the tunnel are analyzed and the parallelism is discussed. Besides, factors affecting the dynamic responses are investigated. Better speedup and parallel efficiency show the scalability of the parallel method and the analysis results can be used to aid in the design of water conveyance tunnels.

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“…Em [97], o leitor pode verificar uma extensa comparação entre alguns dos principais métodos usados por diferentes grupos de pesquisa em atividade pelo mundo. A ideia do problema é avaliar a interação entre a esteira de vórtices formada atrás do cilindro e uma barra muito flexível presa a este para duas situações Mais uma vez pode ser evidenciada uma concordância muito boa dos resultados obtidos neste trabalho com resultados da literatura.…”

Section: Problema 54: Escoamento Em Torno De Um Cilindro Com Barra Funclassified

Método dos elementos finitos com fronteiras imersas aplicado a problemas de dinâmica dos fluidos e interação fluido-estrutura.

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Numerical Benchmarking of Fluid-Structure Interaction: A Comparison of Different Discretization and Solution Approaches

Cited by 52 publications

References 6 publications

Validation of an Open Source Framework for the Simulation of Blood Flow in Rigid and Deformable Vessels

Validation of an Open Source Framework for the Simulation of Blood Flow in Rigid and Deformable Vessels

Parallel Dynamic Analysis of a Large-Scale Water Conveyance Tunnel under Seismic Excitation Using ALE Finite-Element Method

Método dos elementos finitos com fronteiras imersas aplicado a problemas de dinâmica dos fluidos e interação fluido-estrutura.

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