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Numerical Methods for Fluid-Structure Interaction — A Review

Gene Hou, +2 more
- 01 Aug 2012 - 
- Vol. 12, Iss: 2, pp 337-377
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TLDR
This article reviews representative numeri- cal methods based on conforming and non-conforming meshes that are currently avail- able for computing fluid-structure interaction problems, with an emphasis on some of the recent developments in the field.
Abstract
The interactions between incompressible fluid flows and immersed struc- tures are nonlinear multi-physics phenomena that have applications to a wide range of scientific and engineering disciplines In this article, we review representative numeri- cal methods based onconforming and non-conforming meshes that arecurrentlyavail- able for computing fluid-structure interaction problems, with an emphasis on some of the recent developments in the field A goal is to categorize the selected methods and assess their accuracy and efficiency We discuss challenges faced by researchers in this field, and we emphasize the importance of interdisciplinary effort for advancing the study in fluid-structure interactions

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Citations
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A Ghost-Cell Immersed Boundary Method for Flow in Complex Geometry

TL;DR: An efficient ghost-cell immersed boundary method (GCIBM) for simulating turbulent flows in complex geometries is presented in this paper, where a boundary condition is enforced through a ghost cell method.
Journal ArticleDOI

Smoothed particle hydrodynamics (SPH) for modeling fluid-structure interactions

TL;DR: A review of the recent developments in smoothed particle hydrodynamics (SPH) based modeling techniques for solving FSI-related problems is presented in this paper, where the basic concepts of SPH along with conventional and higher order particle approximation schemes are introduced.
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Partitioned Simulation of Fluid-Structure Interaction

TL;DR: In this article, a review of partitioned simulation techniques for strongly coupled fluid-structure interaction problems, especially on techniques which use at least one of the solvers as a black box, is presented.
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A coupled SPH-DEM model for fluid-structure interaction problems with free-surface flow and structural failure

TL;DR: In this paper, an integrated SPH-DEM particle model for fluid-structure interaction (FSI) problems with fracture in the structure induced by the free surface flow of the fluid is presented.
Journal ArticleDOI

An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solids

TL;DR: Stable partitioned algorithms for fluid–structure interaction (FSI) problems are developed and analyzed and it is shown that a traditional partitioned algorithm involving a Dirichlet–Neumann coupling for the same FSI problem is formally unconditionally unstable for any ratio of densities.
References
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Book

Numerical Optimization

TL;DR: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization, responding to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems.
Journal ArticleDOI

Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Journal ArticleDOI

Volume of fluid (VOF) method for the dynamics of free boundaries

TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
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A finite element method for crack growth without remeshing

TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Journal ArticleDOI

The immersed boundary method

TL;DR: This paper is concerned with the mathematical structure of the immersed boundary (IB) method, which is intended for the computer simulation of fluid–structure interaction, especially in biological fluid dynamics.
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