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The lattice Boltzmann method has become a standard technique for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular…

We introduce a lattice Boltzmann computational scheme capable of modeling thermohydrodynamic flows of monatomic gases. The parallel nature of this approach provides a numerically efficient alternative to traditional methods of computational…

comp-gas · Physics 2009-10-22 F. J. Alexander , S. Chen , J. D. Sterling

Phase separation of a two-dimensional van der Waals fluid subject to a gravitational force is studied by numerical simulations based on lattice Boltzmann methods (LBM) implemented with a finite difference scheme. A growth exponent…

Soft Condensed Matter · Physics 2020-01-08 A. Cristea , G. Gonnella , A. Lamura , V. Sofonea

In this study, a phase-field lattice Boltzmann model based on the Allen-Cahn equation with a filtered collision operator and high-order corrections in the equilibrium distribution functions is presented. Here we show that in addition to…

Fluid Dynamics · Physics 2020-01-08 Hiroshi Otomo , Raoyang Zhang , Hudong Chen

A novel finite element framework is proposed for the numerical simulation of two phase flows with surface tension. The Level-Set (LS) method with piece-wise quadratic (P2) interpolation for the liquid-gas interface is used in order to reach…

Computational Engineering, Finance, and Science · Computer Science 2020-10-27 Modesar Shakoor , Chung Hae Park

A double-distribution-function based lattice Boltzmann method (DDF-LBM) is proposed for the simulation of polyatomic gases in the supersonic regime. The model relies on an extended equilibrium state that is constructed to reproduce the…

Computational Physics · Physics 2020-02-13 Jonas Latt , Christophe Coreixas , Joel Beny , Andrea Parmigiani

We introduce new versions of lattice Boltzmann methods (LBM) for incompressible binary mixtures where fluctuations of total density are inhibited. As a test for the improved algorithms we consider the problem of phase separation of…

Soft Condensed Matter · Physics 2015-06-24 Aiguo Xu , G. Gonnella , A. Lamura

We present a systematic account of recent developments of the relativistic Lattice Boltzmann method (RLBM) for dissipative hydrodynamics. We describe in full detail a unified, compact and dimension-independent procedure to design…

High Energy Physics - Lattice · Physics 2020-05-29 A. Gabbana , D. Simeoni , S. Succi , R. Tripiccione

The existing lattice Boltzmann models for incompressible multiphase flows are mostly constructed with two distribution functions, one is the order parameter distribution function, which is used to track the interface between different…

Computational Physics · Physics 2012-02-17 Q. Li , K. H. Luo , Y. J. Gao

Rayleigh-B\'enard convection is numerically simulated in two- and three-dimensions using a recently developed two-component lattice Boltzmann equation (LBE) method. The density field of the second component, which evolves according to the…

comp-gas · Physics 2016-08-31 Xiaowen Shan

The lattice Boltzmann method, now widely used for a variety of applications, has also been extended to model multi-phase flows through different formulations. While already applied to many different configurations in the low Weber and…

Fluid Dynamics · Physics 2021-02-02 S. A. Hosseini , H. Safari , D. Thévenin

This work introduces CLIP, a CUDA-accelerated phase-field lattice Boltzmann framework for simulating immiscible two-phase flows with high density and viscosity ratios in both two- and three-dimensional domains. By leveraging GPU…

Fluid Dynamics · Physics 2025-05-20 Mehdi Shadkhah , Mohammad Taeibi Rahni , Azadeh Kebriaee , Mohammad Reza Salimi

We introduce a lattice Boltzmann for simulating an immiscible binary fluid mixture. Our collision rules are derived from a macroscopic thermodynamic description of the fluid in a way motivated by the Cahn-Hilliard approach to…

comp-gas · Physics 2009-10-28 Enzo Orlandini , Michael R. Swift , J. M. Yeomans

Phase separation of binary fluids quenched by contact with cold external walls is considered. Navier-Stokes, convection-diffusion, and energy equations are solved by lattice Boltzmann method coupled with finite-difference schemes. At high…

Soft Condensed Matter · Physics 2015-05-20 G. Gonnella , A. Lamura , A. Piscitelli , A. Tiribocchi

In this work, we investigate the interaction of free and porous media flow by large scale lattice Boltzmann simulations. We study the transport phenomena at the porous interface on multiple scales, i.e., we consider both, computationally…

Computational Engineering, Finance, and Science · Computer Science 2015-07-24 Ehsan Fattahi , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde

Lattice Boltzmann Models (LBM) and Phase Field Models (PFM) are two of the most widespread approaches for the numerical study of multicomponent fluid systems. Both methods have been successfully employed by several authors but, despite…

Computational Physics · Physics 2012-09-21 Luca Scarbolo , Dafne Molin , Prasad Perlekar , Mauro Sbragaglia , Alfredo Soldati , Federico Toschi

We present a new formulation of the central moment lattice Boltzmann (LB) method based on a continuous Fokker-Planck (FP) kinetic model, originally proposed for stochastic diffusive-drift processes (e.g., Brownian dynamics), by adapting it…

Fluid Dynamics · Physics 2024-10-15 William Schupbach , Kannan Premnath

We develop a multicomponent lattice Boltzmann (LB) model for the 2D Rayleigh--Taylor turbulence with a Shan-Chen pseudopotential implemented on GPUs. In the immiscible case this method is able to accurately overcome the inherent numerical…

Fluid Dynamics · Physics 2021-12-13 Hugo S. Tavares , Luca Biferale , Mauro Sbragaglia , Alexei A. Mailybaev

In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is developed for simulating incompressible axisymmetric thermal flows in porous media at the representative elementary volume (REV) scale. In the model, a D2Q9…

Computational Physics · Physics 2016-03-22 Qing Liu , Ya-Ling He , Qing Li

In this work, a thermodynamically consistent and conservative diffuse-interface model for gas-liquid-solid multiphase flows is proposed. In this model, a novel free energy for the gas-liquid-solid multiphase flows is established according…

Fluid Dynamics · Physics 2025-04-09 Chengjie Zhan , Xi Liu , Zhenhua Chai , Baochang Shi
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