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The recently introduced consistent lattice Boltzmann model with energy conservation [S. Ansumali, I.V. Karlin, Phys. Rev. Lett. 95, 260605 (2005)] is extended to the simulation of thermal flows on standard lattices. The two-dimensional…

Statistical Mechanics · Physics 2007-07-16 N. I. Prasianakis , I. V. Karlin

A numerical method for simulating three-phase flows with moving contact lines on arbitrarily complex surfaces is developed in the framework of lattice Boltzmann method. In this method, the immiscible three-phase flow is modeled through a…

Fluid Dynamics · Physics 2021-07-28 Sheng Li , Yang Lu , Fei Jiang , Haihu Liu

Simulations of liquid-gas systems with extended interfaces are observed to fail to give accurate results for two reasons: the interface can get ``stuck'' on the lattice or a density overshoot develops around the interface. In the first case…

Soft Condensed Matter · Physics 2009-11-13 A. J. Wagner , C. M. Pooley

The results obtained by the plasma physics community for the validation and the prediction of turbulence and transport in magnetized plasma come mainly from the use of very CPU-consuming particle-in-cell or (gyro)kinetic codes which…

Plasma Physics · Physics 2017-05-24 Olivier Izacard

We use a lattice Boltzmann algorithm for liquid-gas coexistence to investigate the steady state interface profile of a droplet held between two shearing walls. The algorithm solves the hydrodynamic equations of motion for the system.…

Soft Condensed Matter · Physics 2009-11-07 A. J. Briant , P. Papatzacos , J. M. Yeomans

The Rayleigh-Plateau instability occurs when surface tension makes a fluid column become unstable to small perturbations. At nanometer scales, thermal fluctuations are comparable to surface energy densities. Consequently, at these scales,…

Fluid Dynamics · Physics 2023-06-21 Bryn Barker , John B. Bell , Alejandro L. Garcia

Direct simulations of phase-change and phase-ordering phenomena are becoming more common. Recently qualitative simulations of boiling phenomena have been undertaken by a large number of research groups. One seldom discussed limitations is…

Fluid Dynamics · Physics 2023-01-31 Luiz Eduardo Czelusniak , Luben Cabezas Gómez , Alexander J. Wagner

We present a pedagogical introduction to a series of quantum computing algorithms for the simulation of classical fluids, with special emphasis on the Carleman-Lattice Boltzmann method.

Quantum Physics · Physics 2024-05-21 Claudio Sanavio , Sauro Succi

We analyze motility-induced phase separation and bubbly phase separation in a two-dimensional lattice model of self-propelled particles. We compare systems where the dense (liquid) phase has slab and droplet geometries. We find that…

Soft Condensed Matter · Physics 2025-03-18 Liheng Yao , Robert L. Jack

We investigate velocity statistics of homogeneous inelastic gases using the Boltzmann equation. Employing an approximate uniform collision rate, we obtain analytic results valid in arbitrary dimension. In the freely evolving case, the…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

The lattice Boltzmann method can be used to simulate flow through porous media with full geometrical resolution. With such a direct numerical simulation, it becomes possible to study fundamental effects which are difficult to assess either…

Computational Engineering, Finance, and Science · Computer Science 2015-08-13 Ehsan Fattahia , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde , Michael Manhart , Rainer Helmig

The stability of a flow of an electrically conducting, incompressible fluid in a channel with an imposed uniform wall-normal magnetic field and electrically insulating walls is studied using linear stability analysis and direct numerical…

Fluid Dynamics · Physics 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

When a liquid slams into a solid, the intermediate gas is squeezed out at a speed that diverges when approaching the moment of impact. Although there is mounting experimental evidence that instabilities form on the liquid interface during…

Fluid Dynamics · Physics 2023-06-22 Devaraj van der Meer

In particle physics, the fundamental forces are subject to symmetries called gauge invariance. It is a redundancy in the mathematical description of any physical system. In this article I will demonstrate that the transformer architecture…

Machine Learning · Computer Science 2024-12-20 Leo van Nierop

The lattice Boltzmann method has become a widely adopted approach in computational fluid dynamics, offering unique advantages in mesoscopic kinetic modeling, intrinsic parallelism, and simple treatment of boundary conditions. However, its…

Numerical Analysis · Mathematics 2025-09-16 Ye Ji , Monica Lacatus , Matthias Möller

The standard lattice Boltzmann equation (LBE) method usually fails to capture the physical equilibrium state of a two-phase fluid system, i.e., zero velocity and constant chemical potential. Consequently, spurious velocities and…

Fluid Dynamics · Physics 2021-11-16 Zhaoli Guo

The adsorption behavior of ions at liquid-vapor interfaces exhibits several unexpected yet generic features. In particular, energy and entropy are both minimum when the solute resides near the surface, for a variety of ions in a range of…

Statistical Mechanics · Physics 2017-02-08 Suriyanarayanan Vaikuntanathan , Patrick R. Shaffer , Phillip L. Geissler

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…

Fluid Dynamics · Physics 2016-01-07 Hiroshi Otomo , Hongli Fan , Yong Li , Marco Dressler , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

A multicomponent extension of our recent theory of simple fluids [ U.M.B. Marconi and S. Melchionna, Journal of Chemical Physics, 131, 014105 (2009) ] is proposed to describe miscible and immiscible liquid mixtures under inhomogeneous, non…

Statistical Mechanics · Physics 2011-02-11 Umberto Marini Bettolo Marconi , Simone Melchionna

Galilean symmetry is the natural symmetry of inertial motion that underpins Newtonian physics. Although rigid-body symmetry is one of the most established and fundamental tools in robotics, there appears to be no comparable treatment of…

Robotics · Computer Science 2025-10-14 Robert Mahony , Jonathan Kelly , Stephan Weiss