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We propose a multi-component discrete Boltzmann model (DBM) for premixed, nonpremixed, or partially premixed nonequilibrium reactive flows. This model is suitable for both subsonic and supersonic flows with or without chemical reaction…

Computational Physics · Physics 2020-06-30 Chuandong Lin , Kai Hong Luo , Linlin Fei , Sauro Succi

Computation of vorticity in conjunction with the strain rate tensor, plays an important role in fluid mechanics in vortical structure identification and in the modeling of various complex fluids. For the simulation of flows accompanied by…

Fluid Dynamics · Physics 2019-08-20 Farzaneh Hajabdollahi , Kannan N. Premnath

A novel lattice Boltzmann (LB) model for multiphase flows is developed that complies with the thermodynamic foundations of kinetic theory. By directly devising the collision term for LB equation at the discrete level, a self-tuning equation…

Computational Physics · Physics 2019-02-13 Rongzong Huang , Huiying Wu , Nikolaus A. Adams

Non-Newtonian fluid flows, especially in three dimensions (3D), arise in numerous settings of interest to physics. Prior studies using the lattice Boltzmann method (LBM) of such flows have so far been limited to mainly to two dimensions and…

Computational Physics · Physics 2021-01-28 Saad Adam , Farzaneh Hajabdollahi , Kannan Premnath

Saturated vapor condensation on the homogeneous and heterogeneous sub-cooled wall under gravity was numerically simulated by the improved pseudo-potential phase-change multiple-relaxation-time lattice Boltzmann (LB) method. Firstly, the…

Fluid Dynamics · Physics 2018-08-16 Wandong Zhao , Ying Zhang , Ben Xu , Wenqiang Shang , Shuisheng Jiang

Multiphase flows with high density ratios, such as water and air flows, have recently been simulated using the lattice Boltzmann (LB) method. This approach corresponds to solving the phase field equations, such as the Cahn-Hilliard and…

Fluid Dynamics · Physics 2025-12-02 H. Otomo , C. Sun , T. Inamuro , W. Li , M. Dressler , H. Chen , Y. Li , R. Zhang

The Lattice Boltzmann Method (LBM) has emerged as a powerful tool in computational fluid dynamics and material science. However, standard LBM formulation imposes some limitations on the applications of the method, particularly compressible…

Soft Condensed Matter · Physics 2025-03-14 Navid Afrasiabian , Colin Denniston

To probe both the Hydrodynamic Non-Equilibrium (HNE) and Thermodynamic Non-Equilibrium (TNE) in the combustion process, a two-dimensional Multiple-Relaxation-Time (MRT) version of Lattice Boltzmann Kinetic Model(LBKM) for combustion…

Soft Condensed Matter · Physics 2015-05-20 Aiguo Xu , Chuandong Lin , Guangcai Zhang , Yingjun Li

We introduce a non-reflecting boundary condition for the simulation of thermal flows with the lattice Boltzmann Method (LBM). We base the derivation on the locally one-dimensional inviscid analysis, and define target macroscopic values at…

Computational Physics · Physics 2024-01-24 Friedemann Klass , Alessandro Gabbana , Andreas Bartel

The off-lattice Boltzmann (OLB) method consists of numerical schemes which are used to solve the discrete Boltzmann equation. Unlike the commonly used lattice Boltzmann method, the spatial and time steps are uncoupled in the OLB method. In…

Computational Physics · Physics 2015-05-20 Parthib R. Rao , Laura A. Schaefer

The discretized equilibrium distributions of the lattice Boltzmann method are presented by using the coefficients of the Lagrange interpolating polynomials that pass through the points related to discrete velocities and using moments of the…

Computational Physics · Physics 2020-11-10 Jae Wan Shim

The lattice Boltzmann method (LBM) has shown its promising capability in simulating microscale gas flows. However, the suitable boundary condition is still one of the critical issues for the LBM to model microgaseous flows involving curved…

Computational Physics · Physics 2021-01-01 Liang Wang , Shi Tao , Junjie Hu , Kai Zhang , Gui Lu

Spurious velocities arising from the imperfect offset of the undesired term at the discrete level are frequently observed in numerical simulations of equilibrium multiphase flow systems using the lattice Boltzmann equation (LBE) method. To…

Fluid Dynamics · Physics 2023-11-21 Long Ju , Peiyao Liu , Bicheng Yan , Jin Bao , Shuyu Sun , Zhaoli Guo

Cascaded or central-moment-based lattice Boltzmann method (CLBM) proposed in [Geier \textit{et al.}, Phys. Rev. E \textbf{63}, 066705 (2006)] possesses very good numerical stability. However, two constraints exist in three-dimensional (3D)…

Computational Physics · Physics 2018-05-30 Linlin Fei , Kai Hong Luo , Qing Li

Multiphase flows frequently occur in many important engineering and scientific applications, but modeling of such flows is a rather challenging task due to complex interfacial dynamics between different phases, let alone if the flow is…

Computational Physics · Physics 2018-03-06 Wandong Zhao , Ben Xu , Ying Zhang

The present study provides a systematic derivation of a phase-field version of the momentum, mass and heat transport equations, while accounting for chemical reactions in the fluid phase. To achieve this goal, the volume averaging technique…

Fluid Dynamics · Physics 2025-09-11 Reza Namdar , Mohammad Norouzi , Fathollah Varnik

We present a quantitative analysis of the inertial range statistics produced by Entropic Lattice Boltzmann Method (ELBM) in the context of 3d homogeneous and isotropic turbulence. ELBM is a promising mesoscopic model particularly…

Fluid Dynamics · Physics 2021-07-14 Michele Buzzicotti , Guillaume Tauzin

Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform…

Numerical Analysis · Mathematics 2025-06-10 Ji-Wang Luo , Li Chen , Kentaro Yaji , Wen-Quan Tao

A new lattice Boltzmann model for multicomponent ideal gas mixtures is presented. The model development consists of two parts. First, a new kinetic model for Stefan- Maxwell diffusion amongst the species is proposed and realized as a…

Fluid Dynamics · Physics 2020-12-23 N. Sawant , B. Dorschner , I. V. Karlin

We present a free energy lattice Boltzmann model capable of simulating fluid systems with an arbitrary number of immiscible components in principle. Our method is strictly reduction consistent, ensuring that absent fluid components do not…

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