Simulation of incompressible viscous flows around moving objects by a variant of immersed boundary‐lattice Boltzmann method

Wu, Jiayang; Chen, Shu; Zhang, Yonghao

doi:10.1002/fld.2023

Cited by 50 publications

(36 citation statements)

References 45 publications

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“…Even for an incompressible velocity field, the standard interpolation algorithm shown in this section does not assure that the volume of a closed membrane remains exactly constant in time. This problem has been recognized early, and improved immersed boundary approaches have been proposed for example by Peskin and Printz [36] and Wu et al [58]. Due to the comparably short simulation times in the present paper, there is no need to counteract the volume drift.…”

Section: Immersed Boundary Methodsmentioning

confidence: 83%

Efficient and accurate simulations of deformable particles immersed in a fluid using a combined immersed boundary lattice Boltzmann finite element method

Krüger

Varnik

Raabe

2011

Computers & Mathematics with Applications

297

275

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a b s t r a c tThe deformation of an initially spherical capsule, freely suspended in simple shear flow, can be computed analytically in the limit of small deformations [D. Barthés-Biesel, J.M. Rallison, The time-dependent deformation of a capsule freely suspended in a linear shear flow, J. Fluid Mech. 113 (1981) 251-267]. Those analytic approximations are used to study the influence of the mesh tessellation method, the spatial resolution, and the discrete delta function of the immersed boundary method on the numerical results obtained by a coupled immersed boundary lattice Boltzmann finite element method. For the description of the capsule membrane, a finite element method and the Skalak constitutive model [R. Skalak, A. Tozeren, R.P. Zarda, S. Chien, Strain energy function of red blood cell membranes, Biophys. J. 13 (1973) 245-264] have been employed. Our primary goal is the investigation of the presented model for small resolutions to provide a sound basis for efficient but accurate simulations of multiple deformable particles immersed in a fluid. We come to the conclusion that details of the membrane mesh, as tessellation method and resolution, play only a minor role. The hydrodynamic resolution, i.e., the width of the discrete delta function, can significantly influence the accuracy of the simulations. The discretization of the delta function introduces an artificial length scale, which effectively changes the radius and the deformability of the capsule. We discuss possibilities of reducing the computing time of simulations of deformable objects immersed in a fluid while maintaining high accuracy.

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Section: Immersed Boundary Methodsmentioning

confidence: 83%

Efficient and accurate simulations of deformable particles immersed in a fluid using a combined immersed boundary lattice Boltzmann finite element method

Krüger

Varnik

Raabe

2011

Computers & Mathematics with Applications

297

275

View full text Add to dashboard Cite

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“…Instead, Niu et al [20] proposed a simpler, parameter-free and more efficient momentum exchange-based IB-LBM. The scheme of Niu et al [20] has been inherited by numerous researchers to study the Fluid-Structure Interaction (FSI) problems [21,22], thermal flows [23,24] and particulate flows [25,1] due to its natural advantage. In this study, the fluid-particle interaction force is also evaluated by the scheme of Niu et al [20] without introducing any artificial parameters.…”

Section: Introductionmentioning

confidence: 99%

PIBM: Particulate immersed boundary method for fluid–particle interaction problems

et al. 2015

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It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in computer hardware and numerical algorithms, the coupling scheme also plays an important role on the computational efficiency. In this study, a Particulate Immersed Boundary Method (PIBM) for simulating the fluid-particle multiphase flow was presented and assessed in both two-and three-dimensional applications.The idea behind PIBM derives from the conventional momentum exchange- can capture the feature of particulate flows in fluid and is indeed a promising scheme for the solution of the fluid-particle interaction problems.

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“…With the velocity corrected in this manner, the no-slip boundary condition can be enforced and streamline penetration to the boundary, which is commonly observed in the conventional IBM, could be eliminated [12,[49][50][51].…”

Section: Immersed Boundary Methods For Dirichlet Boundary Conditionmentioning

confidence: 99%

Development of an immersed boundary-phase field-lattice Boltzmann method for Neumann boundary condition to study contact line dynamics

Shao

Chen

Chew

2013

Journal of Computational Physics

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Simulation of incompressible viscous flows around moving objects by a variant of immersed boundary‐lattice Boltzmann method

Cited by 50 publications

References 45 publications

Efficient and accurate simulations of deformable particles immersed in a fluid using a combined immersed boundary lattice Boltzmann finite element method

Efficient and accurate simulations of deformable particles immersed in a fluid using a combined immersed boundary lattice Boltzmann finite element method

PIBM: Particulate immersed boundary method for fluid–particle interaction problems

Development of an immersed boundary-phase field-lattice Boltzmann method for Neumann boundary condition to study contact line dynamics

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