A pre-conditioned implicit direct forcing based immersed boundary method for incompressible viscous flows

Park, Hyunwook; Pan, Xiao‐Min; Lee, Chang‐Hoon; Choi, Jung Il

doi:10.1016/j.jcp.2016.03.035

Cited by 22 publications

(14 citation statements)

References 45 publications

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“…The calculated values obtained using the present BTDF method agree well with those obtained using a body-fitted grid [36] as well as with other IB methods [12,16,24,37]. Table 3 Drag and lift coefficients and Strouhal number for the flow around a stationary circular cylinder (D/dh=40).…”

Section: Flow Around a Stationary Circular Cylindersupporting

confidence: 77%

“…Substituting equation (13) into equation (11) and then into equation (12), we can get * 2   (16) Obviously, the IB force Fb can be obtained as the following matrix form (17) similar to the expression proposed by Su et al [27] and Park et al [24] in IB-NSE, and equation (17) is the implicit direct forcing (IDF) technique for the IB force density solution in IB-LBM. Because DIDE is a diagonally dominant and symmetric matrix, the (DIDE) -1 can be obtained by the conjugate gradient (CG) method [24] and the iterative method [17,27]. However, it is not appropriate for a complex fluid laden with a large number of particles, especially 3D systems.…”

Section: Implicit Direct Forcing Ib-lbmmentioning

confidence: 99%

“…1 =1 drs dh A (24) and 1 =1   drs dh A (25) where the → drs =(drs1,drs2,……, drsNL) T is a column matrix of the boundary thickness and 1=(1,1,……,1) T .…”

Section: Boundary Thickening Direct Forcingmentioning

confidence: 99%

“…In order to examine the robustness of the present BTDF method, simulations were performed for different Reynolds numbers. The results were compared with the experimental result [35], numerical result with a body-fitted grid [36] and other numerical results by IB-NSE [24,37] and IB-LBM [12,16]. The drag coefficient CD, as well as the wake length Lw for the steady flow and lift coefficient CL with Strouhal number St for unsteady flow are shown in Table 3.…”

Section: Flow Around a Stationary Circular Cylindermentioning

confidence: 99%

“…The matrix will become so singular and unsolvable when the neighboring Lagrangian points are too close, when the IB method is coupled with other interface techniques such as the front tracking method [23]. In addition, Park et al [24] recently proposed a pre-conditioned implicit direct forcing (PIDF) method to take into account the fluid viscosity effect for different Reynolds numbers.…”

Section: Introductionmentioning

confidence: 99%

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A boundary thickening-based direct forcing immersed boundary method for fully resolved simulation of particle-laden flows

Jiang

Liu

2019

Journal of Computational Physics

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A boundary thickening-based direct forcing (BTDF) immersed boundary (IB) method is proposed for fully resolved simulation of incompressible viscous flows laden with finite size particles. By slightly thickening the boundary thickness, the local communication between the Lagrangian points on the solid boundary and their neighboring fluid Eulerian grids is improved, based on an implicit direct forcing (IDF) approach and a partition-of-unity condition for the regularized delta function. This strategy yields a simple, yet much better imposition of the no-slip and no-penetration boundary conditions than the conventional direct forcing (DF) technique. In particular, the present BTDF method can achieve a numerical accuracy comparable with other representative improved methods, such as multi-direct forcing (MDF), implicit velocity correction (IVC) and the reproducing kernel particle method (RKPM), while its computation cost remains much lower and nearly equivalent to the conventional DF scheme. The dependence of the optimum thickness value of boundary thickening on the form of the regularized delta functions is also revealed. By coupling the lattice Boltzmann method (LBM) with BTDF-IB, the robustness of the present BTDF IB method is demonstrated using numerical simulations of creeping flow (Re=0.1), steady vortex separating flow (Re=40) and unsteady vortex shedding flow (Re=200) around a circular cylinder.

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Section: Flow Around a Stationary Circular Cylindersupporting

confidence: 77%

Section: Implicit Direct Forcing Ib-lbmmentioning

confidence: 99%

“…1 =1 drs dh A (24) and 1 =1   drs dh A (25) where the → drs =(drs1,drs2,……, drsNL) T is a column matrix of the boundary thickness and 1=(1,1,……,1) T .…”

Section: Boundary Thickening Direct Forcingmentioning

confidence: 99%

Section: Flow Around a Stationary Circular Cylindermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A boundary thickening-based direct forcing immersed boundary method for fully resolved simulation of particle-laden flows

Jiang

Liu

2019

Journal of Computational Physics

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Numerical simulation of fine particle liquid–solid flow in porous media based on LBM‐IBM‐DEM

et al. 2022

Can J Chem Eng

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Fine particle liquid-solid flow in porous media is involved in many industrial processes such as oil exploitation, geothermal reinjection, and filtration systems. It is of great significance to master the behaviours of the fine particle liquid-solid flow in porous media. At present, there are few studies on the influences of the migration of fine particles on the flow field in porous media, and the effects of the porosity of porous media and inlet fluid velocity on the migration behaviours of fine particles in porous media. In this paper, a liquid-solid flow model was established based on the lattice Boltzmann method (LBM)-immersed boundary method (IBM)-distinct element method (DEM) and verified by the classical Drag Kiss Tumble (DKT) phenomena and flow around a cylinder successfully. In this model, the interaction between solid particles is analyzed using the distinct element method, and the interaction between fine particles and flow field is handled by IBM. Then, the migration and blockage of fine particles in porous media was studied using this model. It is found that, in addition to the blockage, a large amount of blocked-surface sliding-separation occur in fine particles. At the same time, the decrease in porosity increases the damage degree of fine particles on the permeability. The porosity exerts great influence on the penetration rate and dispersion behaviour of fine particles. The inlet fluid velocity mainly affects the residence time of fine particles and the average velocity of motion in the direction perpendicular to the main flow direction.

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An immersed boundary method for flows with dense particle suspensions

2018

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A pre-conditioned implicit direct forcing based immersed boundary method for incompressible viscous flows

Cited by 22 publications

References 45 publications

A boundary thickening-based direct forcing immersed boundary method for fully resolved simulation of particle-laden flows

A boundary thickening-based direct forcing immersed boundary method for fully resolved simulation of particle-laden flows

Numerical simulation of fine particle liquid–solid flow in porous media based on LBM‐IBM‐DEM

An immersed boundary method for flows with dense particle suspensions

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