Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles

Wang, Zeli; Fan, Jianren; Luo, Kun

doi:10.1016/j.ijmultiphaseflow.2007.10.004

Cited by 245 publications

(162 citation statements)

References 52 publications

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“…Su et al [25] and Le et al [26] proposed implicit forcing methods solving implicit banded force matrix equations. In order to avoid the complicated calculation of the matrix equations, Luo et al [27] and Wang et al [19] proposed multi-direct-forcing, which iterates the procedure of forcing and spreading until a given criterion is satisfied, and applied it to fixed and moving particle problems.…”

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confidence: 99%

“…For diffuse interface schemes, we consider the explicit diffuse interface scheme, as in [33], and the implicit diffuse scheme, as in [34]. The differences of this study from previous schemes [33,34] are: (i) to clearly see the effect of boundary diffuseness on accuracy, we adopt both 2-point and 4-point discrete delta functions, which give second-order approximations, whereas they [33,34] only used the cosine-type 4-point discrete delta function, which gives first-order approximation [36,37] and (ii) for the implicit diffuse interface scheme, we adopt the simple multi-direct-forcing scheme used under the IBM based on the NSE in [19,27] to avoid solving the complicated banded matrix equations as in [34]. For a sharp interface scheme, we consider the exterior sharp interface scheme used in the direct-forcing IBM based on the NSE by Kim et al [9], where forcing nodes are located on the exterior (solid) nodes.…”

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confidence: 99%

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A comparative study of direct‐forcing immersed boundary‐lattice Boltzmann methods for stationary complex boundaries

Kang

Hassan

2011

Numerical Methods in Fluids

216

125

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SUMMARYIn this study, we assess several interface schemes for stationary complex boundary flows under the direct-forcing immersed boundary-lattice Boltzmann methods (IB-LBM) based on a split-forcing lattice Boltzmann equation (LBE). Our strategy is to couple various interface schemes, which were adopted in the previous direct-forcing immersed boundary methods (IBM), with the split-forcing LBE, which enables us to directly use the direct-forcing concept in the lattice Boltzmann calculation algorithm with a second-order accuracy without involving the Navier-Stokes equation. In this study, we investigate not only common diffuse interface schemes but also a sharp interface scheme. For the diffuse interface scheme, we consider explicit and implicit interface schemes. In the calculation of velocity interpolation and force distribution, we use the 2-and 4-point discrete delta functions, which give the second-order approximation. For the sharp interface scheme, we deal with the exterior sharp interface scheme, where we impose the force density on exterior (solid) nodes nearest to the boundary. All tested schemes show a second-order overall accuracy when the simulation results of the Taylor-Green decaying vortex are compared with the analytical solutions. It is also confirmed that for stationary complex boundary flows, the sharper the interface scheme, the more accurate the results are. In the simulation of flows past a circular cylinder, the results from each interface scheme are comparable to those from other corresponding numerical schemes.

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confidence: 99%

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confidence: 99%

A comparative study of direct‐forcing immersed boundary‐lattice Boltzmann methods for stationary complex boundaries

Kang

Hassan

2011

Numerical Methods in Fluids

216

125

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“…In the present work, the model is based on Young's VOF method for which the best performance in standard advection was obtained, similar as reported by Rudman [23]. The IB method embeds a direct forcing method as proposed by Uhlmann [29] and Wang [31]. Differently from [10], the collision model, to account for dissipative particle-particle and particle-wall collision, has been not considered yet.…”

Section: Introductionmentioning

confidence: 69%

Numerical Simulation of Two-Phase Flows Using a Hybrid Volume of Fluid and Immersed Boundary Method

Villar¹,

Pivello²,

Sène³

et al. 2014

Proceedings of 10th World Congress on Computational Mechanics

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Abstract. In this paper a simulation model is presented for the Direct Numerical simulation (DNS) of multiphase flow. This method combines the Volume of fluid model and Immersed Boundary method in order to investigate water-oil flow-pattern. The simulations were carried out on structured cartesian adaptive mesh refinement (SAMR), where the the Immersed Boundary represents the circular tube via Direct Forcing Method (DFM). The Volume of Fluid based on piecewise linear reconstruction interface, allow to define the fluid-fluid interface using a three dimensional version of the continuum surface force (CSF) model of Brackbill et al. (1992). The Navier-Stokes equations are discretized in the entire domain using a finite difference scheme, where a temporal discretization is based on SBDF scheme, with adaptive time stepping. The capabilities of the hybrid VOF-IB model are demonstrated with examples in wich complex topological changes in the interface are encountered. The overall methodology has been through a careful, series of verification tests whose results are reported. An oil-water flow-pattern application is presented.

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“…Then, the body forces are applied on lattice points near the boundary in order to enforce the no-slip condition on the boundary. In the present computations, the IBM with the multi-direct forcing method (MDFM) proposed by Wang et al (2008) is applied to the stationary curved boundary of circular pipes.…”

Section: Immersed Boundary Methodsmentioning

confidence: 99%

Lattice Boltzmann simulation of motion of red blood cell in constricted circular pipe flow

Yoshino

Katsumi

2014

JFST

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Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles

Cited by 245 publications

References 52 publications

A comparative study of direct‐forcing immersed boundary‐lattice Boltzmann methods for stationary complex boundaries

A comparative study of direct‐forcing immersed boundary‐lattice Boltzmann methods for stationary complex boundaries

Numerical Simulation of Two-Phase Flows Using a Hybrid Volume of Fluid and Immersed Boundary Method

Lattice Boltzmann simulation of motion of red blood cell in constricted circular pipe flow

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