Studies of accurate multi-component lattice Boltzmann models on benchmark cases required for engineering applications

Abstract

We present recent developments in lattice Boltzmann modeling for multi-component flows, implemented on the platform of a general purpose, arbitrary geometry solver PowerFLOW. Presented benchmark cases demonstrate the method's accuracy and robustness necessary for handling real world engineering applications at practical resolution and computational cost. The key requirements for such approach are that the relevant physical properties and flow characteristics do not strongly depend on numerics. In particular, the strength of surface tension obtained using our new approach is independent of viscosity and resolution, while the spurious currents are significantly suppressed. Using a much improved surface wetting model, undesirable numerical artifacts including thin film and artificial droplet movement on inclined wall are significantly reduced.

Three-dimensional lattice Boltzmann method benchmarks between color-gradient and pseudo-potential immiscible multi-component models

“…45 In their test cases, they used periodic boundary condition and this has been shown to hide some numerical de¯-ciency with the wetting boundary condition for some lattice Boltzmann models. 35,34,46,47 Indeed, periodic boundary condition guarantees a balance of arti¯cial mass°ow (if they appear) along the walls. So it is not clear if these validations concerning the wetting boundary condition are correct for the PPM.…”

Multi-component lattice Boltzmann models for accurate simulation of flows with wide viscosity variation

“…Plots are clearly distinguishable for each G and results lie on solid and dotted lines which follow the Laplace law with σ = {0.071, 0.11} even with coarse resolution such as R = 16. Furthermore the surface tension is almost independent on the viscosity whereas previous studies [17,18] reported that the original Shan-Chen model has significant viscosity dependence. Results in a study [2] are also presented in Fig.…”

“…A static droplet in inclined channels to fluid lattices is simulated to study the lattice orientation dependency of the model. It has been a challenge to obtain a static droplet on a tilted surface without external force due to diffusion by the thin film along walls and insufficient isotropy of numerical algorithm near boundaries [18]. In this study the height of the channel is 16 and variable inclination angle is {30, 70} degree.…”

Fluidic gates simulated with lattice Boltzmann method under different Reynolds numbers

“…LBM was proved to be a good alternative to other CFD methods [24]. The key advantages that enhanced its applicability to many engineering problems [25,26], are the straightforward manner to tackle challenging configurations (like flow through porous media or complex geometries), simplicity and ease of conversion of the algorithms implementing the method to be executed on parallel computing platforms [27,28,29,30,31,32].…”