Numerical Methods for Fluid-Structure Interaction — A Review

Hou, Gene; Wang, Jin; Layton, Anita T.

doi:10.4208/cicp.291210.290411s

Cited by 543 publications

(314 citation statements)

References 129 publications

Supporting

Mentioning

304

Contrasting

Unclassified

Order By: Relevance

“…Fluid-structure interactions (FSIs) are a topic at the forefront of computational mechanics, with many studies focusing on the efficient numerical solution of large-scale FSI problems [31]. Nevertheless, only a few previous studies have performed three-dimensional (3D) simulations of the types of FSIs relevant to microfluidic devices, specifically soft microchannels.…”

Section: Computational Modelmentioning

confidence: 99%

Static response of deformable microchannels: a comparative modelling study

Shidhore

Christov

2018

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

Abstract. We present a comparative modelling study of fluid-structure interactions in microchannels. Through a mathematical analysis based on plate theory and the lubrication approximation for low-Reynolds-number flow, we derive models for the flow rate-pressure drop relation for long shallow microchannels with both thin and thick deformable top walls. These relations are tested against full three-dimensional two-way-coupled fluid-structure interaction simulations. Three types of microchannels, representing different elasticity regimes and having been experimentally characterized previously, are chosen as benchmarks for our theory and simulations. Good agreement is found in most cases for the predicted, simulated and measured flow rate-pressure drop relationships. The numerical simulations performed allow us to also carefully examine the deformation profile of the top wall of the microchannel in any cross section, showing good agreement with the theory. Specifically, the prediction that span-wise displacement in a long shallow microchannel decouples from the flow-wise deformation is confirmed, and the predicted scaling of the maximum displacement with the hydrodynamic pressure and the various material and geometric parameters is validated.

show abstract

Section: Computational Modelmentioning

confidence: 99%

Static response of deformable microchannels: a comparative modelling study

Shidhore

Christov

2018

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…Just as the real space sum (22) is truncated beyond a cutoff radius r c , the k-space sum (24) needs to be truncated at some point. Since k-space is discrete, it is natural to truncate the summation outside a box with half-sides K in reciprocal space, such that the error committed at a point is…”

Section: K-space Summentioning

confidence: 99%

“…An additional benefit of using a boundary integral method is that movement of the particles is easily handled by translations and rotations of the surfaces, whereas a grid-based method has to either continuously fit the volume grid to the particles, or apply an alternative scheme to enforce the boundary conditions, see [24] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Fast Ewald summation for Stokesian particle suspensions

Klinteberg

Tornberg

2014

Numerical Methods in Fluids

118

View full text Add to dashboard Cite

We present a numerical method for suspensions of spheroids of arbitrary aspect ratio which sediment under gravity. The method is based on a periodized boundary integral formulation using the Stokes double layer potential. The resulting discrete system is solved iteratively using GMRES accelerated by the spectral Ewald (SE) method, which reduces the computational complexity to O(N log N ), where N is the number of points used to discretize the particle surfaces. We develop predictive error estimates, which can be used to optimize the choice of parameters in the Ewald summation. Numerical tests show that the method is well conditioned and provides good accuracy when validated against reference solutions.

show abstract

“…Especially, the partitioned method turns out to be unconditionally unstable with an explicit scheme, or to be a oscillating iteration with questionable convergence when an implicit scheme is used, if the densities of fluid and structure become comparable or if the domain has a slender shape. Such phenomenon is also called the added-mass effect [39,40,32,26], which the monolithic algorithm can completely avoid.…”

Section: Algorithm 1 Ale Methods For Fsi Involving An Elastic Rotormentioning

confidence: 99%

“…The key idea is that we can decompose the structure motion into the rotational part and the deformation part [47,21]. Supposex 0 is a point on the axis of rotation, we can decompose the trajectory of each material particle as follows by using the rotational matrix R arising from the boundary condition (26),…”

Section: Remodeling Of the Rotational Elastic Structurementioning

confidence: 99%

Modeling and simulations for fluid and rotating structure interactions

Yang

Sun

Wang

et al. 2016

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

In this paper, we study a dynamic fluid-structure interaction (FSI) model for an elastic structure that is immersed and spinning in the fluid. We develop a linear constitutive model to describe the motion of a rotational elastic structure which is suitable for the application of arbitrary LagrangianEulerian (ALE) method in FSI simulation. Additionally, a novel ALE mapping method is designed to generate the moving fluid mesh while the deformable structure spins in a non-axisymmetric fluid channel. The structure velocity is adopted as the principle unknown to form a monolithic saddle-point system together with fluid velocity and pressure. We discretize the nonlinear saddle-point system with mixed finite element method and Newton's linearization, and prove that the derived saddle-point problem is well-posed. The developed methodology is applied to a self-defined elastic structure and a realistic hydroturbine under a prescribed angular velocity. Both illustrate the satisfactory numerical results of an elastic structure that is deforming and rotating while interacting with the fluid. The numerical validation is also conducted to demonstrate the modeling consistency.

show abstract

Numerical Methods for Fluid-Structure Interaction — A Review

Cited by 543 publications

References 129 publications

Static response of deformable microchannels: a comparative modelling study

Static response of deformable microchannels: a comparative modelling study

Fast Ewald summation for Stokesian particle suspensions

Modeling and simulations for fluid and rotating structure interactions

Contact Info

Product

Resources

About