Local reactive boundary scheme for irregular geometries in lattice Boltzmann method

Ju, Long; Zhang, Chunhua; Guo, Zhaoli

doi:10.1016/j.ijheatmasstransfer.2020.119314

Cited by 14 publications

(22 citation statements)

References 48 publications

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“…For configuration A, the difference from the scheme of Verhaeghe compared to the schemes of Patel and Ju, and the new scheme is solely attributed to the absence of γ . As described in the literature (Ju et al., 2020; Patel, 2016), including γ ensures that the macroscopic diffusivity at the wall is captured correctly. Multiplying the PeDa number in Equation by a factor of 1/ γ results in no error when using the scheme of Verhaeghe, confirming the shift in effective PeDa number simulated.…”

Section: Resultsmentioning

confidence: 99%

General Local Reactive Boundary Condition for Dissolution and Precipitation Using the Lattice Boltzmann Method

Weinmiller,

Lautenschlaeger,

Kellers

et al. 2024

Water Resources Research

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A general and local reactive boundary condition (RBC) for studying first‐order equilibrium reactions using the lattice Boltzmann method is presented. Its main characteristics are accurate reproduction of wall diffusion, invariance to the wall and grid orientation, and absence of nonphysical artifacts. The scheme is successfully tested for different benchmark cases considering diffusion, advection, and reactions of fluids at solid‐liquid interfaces. Unlike other comparable RBCs from the literature, the novel scheme is valid for a large range of Péclet and Damköhler numbers, and shows realistic pattern formation during precipitation. In addition, quantitative results are in good accordance with analytical solutions and values from literature. Combining the new RBC with the rest fraction method, Péclet‐Reynolds ratios of up to 1,000 can be achieved. Overall, the novel RBC accurately models first‐order reactions, is applicable for complex geometries, and allows efficiently simulating dissolution and precipitation phenomena in fluids at the pore scale.

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Section: Resultsmentioning

confidence: 99%

General Local Reactive Boundary Condition for Dissolution and Precipitation Using the Lattice Boltzmann Method

Weinmiller,

Lautenschlaeger,

Kellers

et al. 2024

Water Resources Research

View full text Add to dashboard Cite

show abstract

“…If τ = 1, the denominator will be zero and cause instability. This problem also exists in other schemes mentioned above [15,16,18,19,20,23].…”

Section: Introductionmentioning

confidence: 87%

“…[12,13,14]). While for the Neumann or Robin BCs, the existing boundary schemes are not satisfactory and their efficient treatment is still the focus of current research [15,16,17,18,19,20,21]. In [15], a boundary scheme for straight boundaries is proposed by using the Neumann (or Robin) BCs to extrapolate the macroscopic quantity at the boundary.…”

Section: Introductionmentioning

confidence: 99%

“…However, the second-order accuracy of these schemes is demonstrated only via steady-state problems [22]. Besides, a first-order scheme for curved boundaries is formulated in [20], also with the aid of asymptotic analysis. More recently, a second-order curved boundary scheme of Neumann BCs is proposed by using extrapolations and the anti-bounce back scheme of Dirichlet BCs [19].…”

Section: Introductionmentioning

confidence: 99%

“…In summary, there have been various, either first-or second-order, boundary schemes of the LBM for Robin BCs of CDEs [15,16,17,18,19,20,23]. Though their effectiveness was validated numerically, a common problem for these schemes is that the denominators in the schemes may become zero, which will lead to numerical instability.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A simple and efficient curved boundary scheme of the lattice Boltzmann method for Robin boundary conditions of convection–diffusion equations

Xie

Zhao

Lin

2021

Applied Mathematics Letters

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A pore-scale lattice Boltzmann model for solute transport coupled with heterogeneous surface reactions and mineral dissolution

Ju,

Wang,

Shan

et al. 2024

Chemical Engineering Journal

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Local reactive boundary scheme for irregular geometries in lattice Boltzmann method

Cited by 14 publications

References 48 publications

General Local Reactive Boundary Condition for Dissolution and Precipitation Using the Lattice Boltzmann Method

General Local Reactive Boundary Condition for Dissolution and Precipitation Using the Lattice Boltzmann Method

A simple and efficient curved boundary scheme of the lattice Boltzmann method for Robin boundary conditions of convection–diffusion equations

A pore-scale lattice Boltzmann model for solute transport coupled with heterogeneous surface reactions and mineral dissolution

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