Comparison of time‐integration schemes for fluid‐structure interaction.

2008 ◽  
Vol 124 (4) ◽  
pp. 2574-2574
Author(s):  
Aldo A. Ferri ◽  
Mohammed Kapacee ◽  
Jerry H. Ginsberg ◽  
Marilyn Smith
Keyword(s):  
Fluid Structure Interaction ◽  
Time Integration ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Integration Schemes ◽  
Time Integration Schemes

scholarly journals Numerical Stability of Partitioned Approach in Fluid-Structure Interaction for a Deformable Thin-Walled Vessel

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Kelvin K. L. Wong ◽  
Pongpat Thavornpattanapong ◽  
Sherman C. P. Cheung ◽  
Jiyuan Tu
Keyword(s):  
Fluid Structure Interaction ◽  
Time Integration ◽  
Computational Time ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Integration Schemes ◽  
Partitioned Approach ◽  
Time Integration Schemes ◽  
Implicit Approach ◽  
The Stability

Added-mass instability is known to be an important issue in the partitioned approach for fluid-structure interaction (FSI) solvers. Despite the implementation of the implicit approach, convergence of solution can be difficult to achieve. Relaxation may be applied to improve this implicitness of the partitioned algorithm, but this commonly leads to a significant increase in computational time. This is because the critical relaxation factor that allows stability of the coupling tends to be impractically small. In this study, a mathematical analysis for optimizing numerical performance based on different time integration schemes that pertain to both the fluid and solid accelerations is presented. The aim is to determine the most efficient configuration for the FSI architecture. Both theoretical and numerical results suggest that the choice of time integration schemes has a significant influence on the stability of FSI coupling. This concludes that, in addition to material and its geometric properties, the choice of time integration schemes is important in determining the stability of the numerical computation. A proper selection of the associated parameters can improve performance considerably by influencing the condition of coupling stability.

Explicit and Implicit Code Coupling Schemes in Fluid Structure Interaction

2005 ◽  
Author(s):  
E. Longatte ◽  
Z. Bendjeddou ◽  
V. Verreman ◽  
M. Souli
Keyword(s):  
Fluid Structure Interaction ◽  
Time Integration ◽  
Good Choice ◽  
Integration Scheme ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Interaction Field ◽  
Analytical Test ◽  
Time Integration Scheme ◽  
Implicit Code

In multi-physics numerical computations a good choice of code coupling schemes is required. Several methods are possible like: an explicit synchronous scheme an Euler implicit method and no interpolation on velocity pressure; an explicit asynchonous scheme using a Crank-Nicholson time integration scheme and interpolation on velocity and pressure; an implicit scheme using a fixed iterative method. In the present paper these different schemes are compared for application in fluid structure interaction field. In the first part numerical coupling schemes are presented. Then their capability to ensure energy conservation is discussed according to numerical results obtained in analytical test cases. Finally application of coupling process to fluid structure interaction problems is investigated and results are discussed in terms of added mass and damping induced by a fluid for a structure vibrating in fluid at rest.

Fluid–Structure Interaction Simulation on Energy Harvesting From Vortical Flows by a Passive Heaving Foil

2017 ◽  
Vol 140 (1) ◽  
Author(s):  
Zhenglun Alan Wei ◽  
Zhongquan Charlie Zheng
Keyword(s):  
Energy Harvesting ◽  
Fluid Structure Interaction ◽  
Time Integration ◽  
Immersed Boundary ◽  
Fluid Structure ◽  
Periodic Response ◽  
Structure Interaction ◽  
First Order ◽  
Interaction Simulation ◽  
Ib Method

This study investigates energy harvesting of a two-dimensional foil in the wake downstream of a cylinder. The foil is passively mobile in the transverse direction. An immersed boundary (IB) method with a fluid–structure interaction (FSI) model is validated and employed to carry out the numerical simulation. For improving numerical stability, this study incorporates a modified low-storage first-order Runge–Kutta scheme for time integration and demonstrates the performance of this temporal scheme on reducing spurious pressure oscillations of the IB method. The simulation shows the foil emerged in a vortical wake achieves better energy harvesting performance than that in a uniform flow. The types of the dynamic response of the energy harvester are identified, and the periodic response is desired for optimal energy harvesting performance. Last, the properties of vortical wakes are found to be of pivotal importance in obtaining this desired periodic response.

Numerical simulation of parafoil inflation via a Robin–Neumann transmission-based approach

2017 ◽  
Vol 232 (4) ◽  
pp. 797-810 ◽  
Author(s):  
Shuai Nie ◽  
Yihua Cao ◽  
Zhenlong Wu
Keyword(s):  
Stokes Equations ◽  
Fluid Structure Interaction ◽  
Time Integration ◽  
Three Dimensional ◽  
Structural Deformation ◽  
Dimensional Case ◽  
Integration Scheme ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Highly Nonlinear

In this paper, a partitioned coupled iterative approach based on the Robin–Neumann transmission condition is proposed for the fluid–structure interaction simulation of the inflation process of a parafoil. The Reynold-averaged Navier–Stokes equations and the versatile finite element method are employed to solve the fluid flow field and the structural deformation, respectively. The generalized-α time integration scheme for the structure and the second order back Euler scheme for the fluid are incorporated in the Robin-Neumann method. A modified spring-transfinite interpolation hybrid method is exploited to detect the deformation of the grid and regenerate the grid for the fluid architecture. Both a two-dimensional case and a three-dimensional case are studied to examine the feasibility of the present approach. The simulation results reveal the evolution of the flow regime during the inflation process when the air pours into the parafoil. The whole inflation process can be concluded as two stages: the span-wise deployment and the longitudinal expansion. The numerical aerodynamic performance agrees well with that obtained by wind-tunnel experiment, suggesting the effectiveness of this method in handling such a highly nonlinear fluid–structure interaction in parachute inflation.

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