The immersed boundary-lattice Boltzmann method for solving fluid–particles interaction problems

Zhao, Feng; Michaelides, Efstathios E.

doi:10.1016/j.jcp.2003.10.013

Cited by 905 publications

(543 citation statements)

References 19 publications

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“…The IB method is first induced by Peskin [16] to study a deformable boundary interacting with a fluid. This method was later extended to treat rigid boundary and now many variants of IB method exist [17][18][19]. The Navier-Stokes equations (2.1) and (2.2) are solved on a Cartesian grid.…”

Section: Numerical Methods and Settingsmentioning

confidence: 99%

Numerical Simulation of a Three-Dimensional Fish-like Body Swimming with Finlets

Wang

Zhang

2012

Commun. comput. phys.

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Abstract. The swimming of a 3D fish-like body with finlets is numerically investigated at Re = 1000 (the Reynolds number is based on the uniform upstream flow and the length of the fish-like body). The finlets are simply modeled as thin rigid rectangular plates that undulate with the body. The wake structures and the flow around the caudal peduncle are studied. The finlets redirect the local flow across the caudal peduncle but the vortical structures in the wake are almost not affected by the finlets. Improvement of hydrodynamic performance has not been found in the simulation based on this simple model. The present numerical result is in agreement with that of the work of Nauen and Lauder

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Section: Numerical Methods and Settingsmentioning

confidence: 99%

Numerical Simulation of a Three-Dimensional Fish-like Body Swimming with Finlets

Wang

Zhang

2012

Commun. comput. phys.

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“…For problems with external forces, the following term is added to the right side of (2) [14], as (7) (8) where fbij is the force applied to each ij-cell. The external forcing term gα given by (7) and (8) has first order convergence [15], which limits the solution to problems with slow moving boundary or flexible boundary with small pressure gradient. For fast moving boundaries or flexible boundaries with large pressure gradients, a higher order method is needed.…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

FULL GPU Implementation of Lattice-Boltzmann Methods with Immersed Boundary Conditions for Fast Fluid Simulations

Boroni

Dottori²,

Rinaldi³

2017

IJM

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“…The consistency of the LBM with regard to the Navier-Stokes equations (NSE) has been established through various methods in the literature [1,2,3,4,5,6,7,8] and has been applied to many moving boundary simulations [9,10] because of its computational efficiency, simplicity and scalable parallel nature. In this work, the cascaded lattice Boltzmann method (CLBM), recently introduced by Geier et al, [11,12], is used for the fluid flow simulation due to its superior stability properties and higher degree of Galilean invariance over other lattice Boltzmann schemes [13,14,15,16,17,18].…”

Section: Introductionmentioning

confidence: 99%

PROTEUS: A coupled iterative force-correction immersed-boundary cascaded lattice Boltzmann solver for moving and deformable boundary applications

Falagkaris

Ingram

Markakis

et al. 2018

Computers & Mathematics with Applications

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Many realistic fluid flow problems are characterised by high Reynolds numbers and complex moving or deformable geometries. In our previous study, we presented a novel coupling between an iterative force-correction immersed boundary and a multi-domain cascaded lattice Boltzmann method, Falagkaris et al., and investigated flows around rigid bodies at Reynolds numbers up to 10 5 . Here, we extend its application to flows around moving and deformable bodies with prescribed motions. Emphasis is given on the influence of the internal mass on the computation of the aerodynamic forces including deforming boundary applications where the rigid body approximation is no longer valid. Both the rigid body and the internal Lagrangian points approximations are examined. The resulting solver has been applied to viscous flows around an in-line oscillating cylinder, a pitching foil, a plunging SD7003 airfoil and a plunging and flapping NACA-0014 airfoil. Good agreement with experimental results and other numerical schemes has been obtained. It is shown that the internal Lagrangian points approximation accurately captures the internal mass effects in linear and angular motions, as well as in deforming motions, at Reynolds numbers up to 4 · 10 4 . In all cases, the aerodynamic loads are significantly affected by the internal fluid forces.

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The immersed boundary-lattice Boltzmann method for solving fluid–particles interaction problems

Cited by 905 publications

References 19 publications

Numerical Simulation of a Three-Dimensional Fish-like Body Swimming with Finlets

Numerical Simulation of a Three-Dimensional Fish-like Body Swimming with Finlets

FULL GPU Implementation of Lattice-Boltzmann Methods with Immersed Boundary Conditions for Fast Fluid Simulations

PROTEUS: A coupled iterative force-correction immersed-boundary cascaded lattice Boltzmann solver for moving and deformable boundary applications

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