A Comparison of One-Way and Two-Way Coupling Methods for Numerical Analysis of Fluid-Structure Interactions (original) (raw)
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ABSTRACT:The interaction between fluid and structure may appear in many problems of Engineering. These problems related differential equations are very difficult to solve analytically and hence solved generally by numerical approximations. There is, however, a computational difficulty always arises to yield a desired convergence due to convoluted geometries, complicated physics of the fluids, structural deformations, and complex fluid-structure interactions. This computational complexity can be reduced by setting the interactional behaviour between fluid and structure. In this paper, several approaches have been discussed in order to reduce computational effort with a desired accuracy
A One-Continuum Approach for Mutual Interaction of Fluids and Structures
Journal of Mechanics, 2015
A new simulation method for solving fluid-structure two-way coupling problems has been developed. All the basic equations are numerically solved on a fixed Cartesian grid using a finite difference scheme. A new definition of velocity-vorticity formulation aids us to introduce an immersed boundary method that does not require a force term to impose the no-slip condition on the solid boundaries. The proposed method is easy to implement and apply for two-way fluid-structure interaction problems. The dynamics of a falling and rising circular cylinder in a quiescent fluid as well as the motion of a circular cylinder in a lid-driven cavity are considered to evaluate the capabilities of the presented method.
Numerical simulation of fluid-structure coupled problems
2012
This paper briefly describes the numerical models for the simulation of fluid-structure coupled problems. The applied models are primarily intended to simulate the fluid-structure dynamic interaction in seismic conditions. Models can simulate the most important non-linear effects of plane and spatial structures that are in direct contact with fluid. Some of models' possibilities are illustrated in numerical analyses of the seismic behavior for several practical examples.
Preface: Simulation of Fluid-Structure Interaction Problems
Computer Modeling in Engineering & Sciences
In recent years, there has been a major surge of interest in the development of simulation techniques and strategies for fluid-structure interaction (FSI) problems, mainly driven by a large spectrum of applications in physiology, medical sciences, material sciences, manufacturing processes, and many other engineering disciplines. Numerous methodologies have been proposed to more accurately and more efficiently capture the coupled interactions between fluid and structures. There are several different ways to classify FSI modeling, for example, monolithic and partitioned, or conforming and nonconforming meshes. Along the line of conforming and non-conforming classification, Arbitrary Lagrangian Eulerian (ALE) method is a typical example of conforming mesh; while the immersed methods, e.g. immersed boundary method, immersed finite element method, are good examples of non-conforming meshes. There are advantages and disadvantages for each chosen approach. The computational mathematics and mechanics communities have been working together in search for the optimal strategies.
A numerical framework for simulating fluid-structure interaction phenomena.PDF
In this paper, a numerical tool able to solve fluid-structure interaction problems is proposed. The lattice Boltzmann method is used to compute fluid dynamics, while the corotational finite element formulation together with the Time Discontinuous Galerkin method are adopted to predict structure dynamics. The Immersed Boundary method is used to account for the presence of an immersed solid in the lattice fluid background and to handle fluid-structure interface conditions, while a Volume-of-Fluid-based method is adopted to take trace of the evolution of the free surface. These ingredients are combined through a partitioned staggered explicit strategy, according to an efficient and accurate algorithm recently developed by the authors. The effectiveness of the proposed methodology is tested against two different cases. The former investigates the dam break phenomenon, involving the modeling of the free surface. The latter involves the vibration regime experienced by two highly deformable flapping flags obstructing a flow. A wide numerical campaign is carried out by computing the error in terms of interface energy artificially introduced at the fluid-solid interface. Moreover, the structure behavior is dissected by simulating scenarios characterized by different values of the Reynolds number. Present findings are compared to literature results, showing a very close agreement.
An Overview of Computational Fluid Structure Interaction: Methods and Applications
2020
Over the past few decades, there has been a rapid improvement in computational power as well as techniques to simulate the real world phenomenon which has enabled us to understand the physics and develop new systems which outperform the existing ones. In the domain of multi-physics problems, fluid and structure interactions have been studied and various numerical methods are introduced to solve them. An extensive review of most commonly employed numerical techniques to solve fluid structure interaction(FSI) problems has been done in this article. It also becomes utmost important to understand the applicability of each method and hence a critical reasoning for usage of different methods has been provided. Application domains are presented which range from energy harvesting processes to simulation of human vocal cords and movement of bolus(food) inside esophagus. Suitable numerical methods applied for each application have also been discussed. Numerical methods developed so far are cl...
A numerical framework for simulating fluid-structure interaction phenomena
2014
In this paper, a numerical tool able to solve fluid-structure interaction problems is proposed. The lattice Boltzmann method is used to compute fluid dynamics, while the corotational finite element formulation together with the Time Discontinuous Galerkin method are adopted to predict structure dynamics. The Immersed Boundary method is used to account for the presence of an immersed solid in the lattice fluid background and to handle fluid-structure interface conditions, while a Volume-of-Fluid-based method is adopted to take trace of the evolution of the free surface. These ingredients are combined through a partitioned staggered explicit strategy, according to an efficient and accurate algorithm recently developed by the authors. The effectiveness of the proposed methodology is tested against two different cases. The former investigates the dam break phenomenon, involving the modeling of the free surface. The latter involves the vibration regime experienced by two highly deformable flapping flags obstructing a flow. A wide numerical campaign is carried out by computing the error in terms of interface energy artificially introduced at the fluid-solid interface. Moreover, the structure behavior is dissected by simulating scenarios characterized by different values of the Reynolds number. Present findings are compared to literature results, showing a very close agreement.
A methodology and computational system for the simulation of fluid-structure interaction problem
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2005
In this paper a flexible finite element computational tool developed to investigate fluidstructure interaction applications in two dimensions is described. We consider problems which can be modelled as a viscous incompressible fluid flow and a rigid body-spring system interacting nonlinearly with each other. The coupling is dealt with the use of an interface approach, in which each physics involved is solved with different schemes and the required information is transferred through the interface of both systems. This approach is, at least in principle, very flexible and computationally efficient as the best available scheme can be adopted to solve each physics. Here, a stabilized FEM considering the "ALE" (Arbitrary Lagrangian-Eulerian) formulation with Crank-Nicholson timeintegration is employed for the fluid-dynamics analysis, and the Newmark Method is used for the structural dynamics. Several important tools were incorporated into our system including different possibilities for the mesh movement algorithm, the computational domain decomposition into regions with and without mesh deformation, and the remeshing strategy (either global or local) to keep the necessary mesh quality. As application we present a study of the forced lock-in phenomena and a preliminary investigation on the suppression (or at least the reduction) of the vortex induced vibrations (VIV) on a solid circular cylinder using an idealization of a periodic acoustic excitation.
Computer Methods in Applied Mechanics and Engineering, 2003
Numerical simulation of fluid-structure interactions has typically been done using partitioned solution methods. However, partitioned methods are inherently non-conservative and generally numerically unstable. The deficiencies of partitioned methods have motivated the investigation of monolithic solution methods. Conservation is possible for monolithic methods, the conditions have recently been presented in Ref.