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Tuning the interface properties of multiphase models is of paramount importance to the final goal of achieving a one-to-one matching with nucleation and cavitation experiments. The surface tension, at the leading order, and the Tolman…

Statistical Mechanics · Physics 2025-05-30 Matteo Lulli , Emily S. C. Ching

Chemical potential is an effective way to drive phase transition or express wettability. In this letter, we present a chemical-potential-based lattice Boltzmann model to simulate multiphase flows. The nonideal force is directly evaluated by…

Computational Physics · Physics 2017-06-21 Binghai Wen , Xuan Zhou , Bing He , Chaoying Zhang , Haiping Fang

A quadrature-based finite-difference lattice Boltzmann model is developed that is suitable for simulating relativistic flows of massless particles. We briefly review the relativistc Boltzmann equation and present our model. The quadrature…

Fluid Dynamics · Physics 2017-09-26 Robert Blaga , Victor E. Ambrus

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

Lattice Boltzmann simulations have been very successful in simulating liquid-gas and other multi-phase fluid systems. However, the underlying second order analysis of the equation of motion has long been known to be insufficient to…

Soft Condensed Matter · Physics 2009-11-11 A. J. Wagner

This contribution presents a comprehensive overview of of lattice Boltzmann models for non-ideal fluids, covering both theoretical concepts at both kinetic and macroscopic levels and more practical discussion of numerical nature. In that…

Fluid Dynamics · Physics 2023-01-06 S. A. Hosseini , I. V. Karlin

Multi-component lattice Boltzmann models operating in a wide range of fluid viscosity values are developed and examined. The algorithm is constructed with the goal to enable engineering applications without sacrificing simplicity and…

A general lattice Boltzmann method for simulation of fluids with tailored transport coefficients is presented. It is based on the recently introduced quasi-equilibrium kinetic models, and a general lattice Boltzmann implementation is…

Statistical Mechanics · Physics 2007-05-23 S. Ansumali , S. Arcidiacono , S. Chikatamarla , N. I. Prasianakis , A. N. Gorban , I. V. Karlin

In this article, we present a detailed asymptotic analysis of the lattice Boltzmann method with two different collision mechanisms of BGK-type on the D2Q9-lattice for generalized Newtonian fluids. Unlike that based on the Chapman-Enskog…

Fluid Dynamics · Physics 2013-10-01 Zai-Bao Yang , Wen-An Yong

Soft particles at fluid interfaces play an important role in many aspects of our daily life, such as the food industry, paints and coatings, and medical applications. Analytical methods are not capable of describing the emergent effects of…

Computational Physics · Physics 2019-09-25 Maarten Wouters , Othmane Aouane , Timm Krueger , Jens Harting

We propose a field-theoretical approach based on the thermodynamic perturbation theory and within it derive a grand thermodynamic potential of the inhomogeneous ionic fluid as a functional of electrostatic potential for an arbitrary…

Soft Condensed Matter · Physics 2022-05-25 Yu. A. Budkov , A. L. Kolesnikov

The free-energy lattice Boltzmann (LB) model is one of the major multiphase models in the LB community. The present study is focused on a class of free-energy LB models in which the divergence of thermodynamic pressure tensor or its…

Computational Physics · Physics 2021-01-20 Q. Li , Y. Yu , R. Z. Huang

Ideal fluid dynamics is studied as a relativistic field theory with particular importance on its hamiltonian structure. The Schwinger condition, whose integrated version yields the stress tensor conservation, is explicitly verified both in…

High Energy Physics - Theory · Physics 2015-06-11 Rabin Banerjee , Subir Ghosh , Arpan Krishna Mitra

Current implementations of fluctuating lattice Boltzmann equations (FLBE) describe single component fluids. In this paper, a model based on the continuum kinetic Boltzmann equation for describing multicomponent fluids is extended to…

Statistical Mechanics · Physics 2016-11-16 D. Belardinelli , M. Sbragaglia , L. Biferale , M. Gross , F. Varnik

Multi-component fluid flow simulations in multi-scale porous structures often involve regions that are under-resolved at practical computational resolutions. Accurately capturing the contributions from these unresolved regions is critical.…

In this paper, a lattice Boltzmann equation (LBE) model is proposed for binary fluids based on a quasi-incompressible phase-field model [J. Shen et al, Comm. Comp. Phys. 13, 1045 (2013)]. Compared with the other incompressible LBE models…

Fluid Dynamics · Physics 2016-05-04 Kang Yang , Zhaoli Guo

We present an energy-conserving multiple-relaxation-time finite difference lattice Boltzmann model for compressible flows. This model is based on a 16-discrete-velocity model. The collision step is first calculated in the moment space and…

Statistical Mechanics · Physics 2015-05-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

The physical behaviour of a class of mesoscopic models for multiphase flows is analyzed in details near interfaces. In particular, an extended pseudo-potential method is developed, which permits to tune the equation of state and surface…

Cellular Automata and Lattice Gases · Physics 2015-06-26 M. Sbragaglia , R. Benzi , L. Biferale , S. Succi , K. Sugiyama , F. Toschi

We determine properties of the lattice Boltzmann method for semiclassical fluids, which is based on the Boltzmann equation and the equilibrium distribution function is given either by the Bose-Einstein or the Fermi-Dirac ones. New…

Fluid Dynamics · Physics 2018-02-23 Rodrigo C. V. Coelho , Mauro M. Doria

We present a two-way coupled fluid-structure interaction scheme for rigid bodies using a two-population lattice Boltzmann formulation for compressible flows. Arbitrary Lagrangian-Eulerian formulation of the discrete Boltzmann equation on…

Fluid Dynamics · Physics 2021-11-03 Abhimanyu Bhadauria , Benedikt Dorschner , Ilya Karlin