scholarly journals A lattice Boltzmann model for reactive mixtures

2021 ◽  
Vol 379 (2208) ◽  
pp. 20200402 ◽  
Author(s):  
N. Sawant ◽  
B. Dorschner ◽  
I. V. Karlin
Keyword(s):  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Gas Mixtures ◽  
Heat Of Formation ◽  
Species Interaction ◽  
Ideal Gas ◽  
Lattice Boltzmann Model ◽  
Dynamics Simulation ◽  
Mixture Composition ◽  
Boltzmann Model

A new lattice Boltzmann model for reactive ideal gas mixtures is presented. The model is an extension to reactive flows of the recently proposed multi-component lattice Boltzmann model for compressible ideal gas mixtures with Stefan–Maxwell diffusion for species interaction. First, the kinetic model for the Stefan–Maxwell diffusion is enhanced to accommodate a source term accounting for the change in the mixture composition due to chemical reaction. Second, by including the heat of formation in the energy equation, the thermodynamic consistency of the underlying compressible lattice Boltzmann model for momentum and energy allows a realization of the energy and temperature change due to chemical reactions. This obviates the need for ad-hoc modelling with source terms for temperature or heat. Both parts remain consistently coupled through mixture composition, momentum, pressure, energy and enthalpy. The proposed model uses the standard three-dimensional lattices and is validated with a set of benchmarks including laminar burning speed in the hydrogen–air mixture and circular expanding premixed flame. This article is part of the theme issue ‘Progress in mesoscale methods for fluid dynamics simulation’.

Modeling of collapsing cavitation bubble near solid wall by 3D pseudopotential multi-relaxation-time lattice Boltzmann method

2017 ◽  
Vol 232 (3) ◽  
pp. 445-456 ◽  
Author(s):  
Minglei Shan ◽  
Yu Yang ◽  
Hao Peng ◽  
Qingbang Han ◽  
Changping Zhu
Keyword(s):  
Relaxation Time ◽  
Lattice Boltzmann ◽  
Cavitation Bubble ◽  
Solid Wall ◽  
Three Dimensional ◽  
Lattice Boltzmann Model ◽  
Bubble Collapse ◽  
Lattice Boltzmann Simulation ◽  
Boltzmann Method ◽  
Boltzmann Model

Understanding the dynamic characteristic of the cavitation bubble near a solid wall is a fundamental issue for the bubble collapse application and prevention. In the present work, an improved three-dimensional multi-relaxation-time pseudopotential lattice Boltzmann model is adopted to investigate the cavitation bubble collapse near the solid wall. With respect to thermodynamic consistency, Laplace law verification, the three-dimensional pseudopotential multi-relaxation-time lattice Boltzmann model is investigated. By the theoretical analysis, it is proved that the model can be regarded as a solver of the Rayleigh–Plesset equation, and confirmed by comparing the results of the lattice Boltzmann simulation and the Rayleigh–Plesset equation calculation for the case of cavitation bubble collapse in the infinite medium field. The bubble collapse near the solid wall is modeled using the improved pseudopotential multi-relaxation-time lattice Boltzmann model. We find the lattice Boltzmann simulation and the experimental results have the same dynamic process by comparing the bubble profiles evolution. Form the pressure field and the velocity field evolution it is found that the tapered higher pressure region formed near the top of the bubble is a crucial driving force inducing the bubble collapse. This exploratory research demonstrates that the lattice Boltzmann method is an alternative tool for the study of the interaction between collapsing cavitation bubble and matter.

scholarly journals An alternative lattice Boltzmann model for three-dimensional incompressible flow

2014 ◽  
Vol 68 (10) ◽  
pp. 1107-1122 ◽  
Author(s):  
Liangqi Zhang ◽  
Zhong Zeng ◽  
Haiqiong Xie ◽  
Xutang Tao ◽  
Yongxiang Zhang ◽  
...  
Keyword(s):  
Incompressible Flow ◽  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Lattice Boltzmann Model ◽  
Boltzmann Model

scholarly journals A unified lattice Boltzmann model and application to multiphase flows

2021 ◽  
Vol 379 (2208) ◽  
pp. 20200397 ◽  
Author(s):  
Kai H. Luo ◽  
Linlin Fei ◽  
Geng Wang
Keyword(s):  
Lattice Boltzmann ◽  
Model Comparison ◽  
Collision Operator ◽  
Central Moment ◽  
Lattice Boltzmann Model ◽  
Dynamics Simulation ◽  
Flow Problems ◽  
Multiple Relaxation Time ◽  
Boltzmann Method ◽  
Boltzmann Model

In this work, we develop a unified lattice Boltzmann model (ULBM) framework that can seamlessly integrate the widely used lattice Boltzmann collision operators, including the Bhatnagar–Gross–Krook or single-relation-time, multiple-relaxation-time, central-moment or cascaded lattice Boltzmann method and multiple entropic operators (KBC). Such a framework clarifies the relations among the existing collision operators and greatly facilitates model comparison and development as well as coding. Importantly, any LB model or treatment constructed for a specific collision operator could be easily adopted by other operators. We demonstrate the flexibility and power of the ULBM framework through three multiphase flow problems: the rheology of an emulsion, splashing of a droplet on a liquid film and dynamics of pool boiling. Further exploration of ULBM for a wide variety of phenomena would be both realistic and beneficial, making the LBM more accessible to non-specialists. This article is part of the theme issue ‘Progress in mesoscale methods for fluid dynamics simulation’.

Sign in / Sign up

Export Citation Format

Share Document