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A four-way coupling scheme for the direct numerical simulation of particle-laden flows is developed and analyzed. It employs a novel adaptive multi-relaxation time lattice Boltzmann method to simulate the fluid phase efficiently. The…

计算物理 · 物理学 2020-03-04 Christoph Rettinger , Ulrich Rüde

A volumetric lattice Boltzmann (LB) method is developed for the particle-resolved direct numerical simulation of thermal particulate flows with conjugate heat transfer. This method is devised as a single-domain approach by applying the…

计算物理 · 物理学 2024-11-01 Xiaojie Zhang , Donglei Wang , Qing Li , Rongzong Huang

In this paper, a new two-relaxation-time regularized (TRT-R) lattice Boltzmann (LB) model for convection-diffusion equation (CDE) with variable coefficients is proposed. Within this framework, we first derive a TRT-R collision operator by…

数值分析 · 数学 2023-12-19 Yuan Yu , Zuojian Qin , Haizhuan Yuan , Shi Shu

We consider the system of Maxwell-Stefan equations which describe multicomponent diffusive fluxes in non-dilute solutions or gas mixtures. We apply the Perron-Frobenius theorem to the irreducible and quasi-positive matrix which governs the…

偏微分方程分析 · 数学 2010-07-13 Dieter Bothe

In this paper, we first present a multiple-relaxation-time lattice Boltzmann (MRT-LB) model for one-dimensional diffusion equation where the D1Q3 (three discrete velocities in one-dimensional space) lattice structure is considered. Then…

数值分析 · 数学 2021-08-04 Yuxin Lin , Ning Hong , Baochang Shi , Zhenhua Chai

Using methods of kinetic theory and liquid state theory we propose a description of the non-equilibrium behavior of molecular fluids which takes into account their microscopic structure and thermodynamic properties. The present work…

统计力学 · 物理学 2009-02-24 Umberto Marini Bettolo Marconi , Simone Melchionna

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…

计算物理 · 物理学 2020-02-13 Jonas Latt , Christophe Coreixas , Joel Beny , Andrea Parmigiani

The lattice Boltzmann method is adopted to solve the liquid-vapor phase change problems in this article. By modifying the collision term for the temperature evolution equation, a new thermal lattice Boltzmann model is constructed. As…

计算物理 · 物理学 2022-11-23 Lei Wang , Jiangxu Huang , Kun He

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…

计算物理 · 物理学 2019-02-13 Rongzong Huang , Huiying Wu , Nikolaus A. Adams

A hybrid lattice Boltzmann method (LBM) for binary mixtures based on the free-energy approach is proposed. Non-ideal terms of the pressure tensor are included as a body force in the LBM kinetic equations, used to simulate the continuity and…

软凝聚态物质 · 物理学 2015-05-13 A. Tiribocchi , N. Stella , G. Gonnella , A. Lamura

We derive a fluctuating lattice Boltzmann method for the diffusion equation. The derivation removes several shortcomings of previous derivations for fluctuating lattice Boltzmann methods for hydrodynamic systems. The comparative simplicity…

计算物理 · 物理学 2017-05-15 Alexander J. Wagner , Kyle Strand

We develop a relativistic lattice Boltzmann (LB) model, providing a more accurate description of dissipative phenomena in relativistic hydrodynamics than previously available with existing LB schemes. The procedure applies to the…

计算物理 · 物理学 2015-06-12 M. Mendoza , I. Karlin , S. Succi , H. J. Herrmann

In this work an optimized multicomponent lattice Boltzmann (LB) model is deployed to simulate axisymmetric turbulent jets of a fluid evolving in a quiescent, immiscible environment over a wide range of dynamic regimes. The implementation of…

流体动力学 · 物理学 2024-03-26 Andrea Montessori , Luiz A. Hegele , Marco Lauricella

Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle-particle and particle-fluid interactions require an adequate representation but the computational cost has to be kept…

计算工程、金融与科学 · 计算机科学 2017-11-02 Christoph Rettinger , Ulrich Rüde

We study a kinetic model for non-reactive mixtures of monatomic gases with hard-sphere cross-sections under isothermal condition. By considering a diffusive scaling of the kinetic model and using the method of moments, we formally obtain…

计算物理 · 物理学 2020-04-24 Benjamin Anwasia

Thermal flows characterized by high Prandtl number are numerically challenging as the transfer of momentum and heat occurs at different time scales. To account for very low thermal conductivity and obey the Courant-Friedrichs-Lewy…

流体动力学 · 物理学 2022-08-30 G. Gruszczyński , Ł. Łaniewski-Wołłk

We develop a lattice Boltzmann equation method for simulating multi-phase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen {\em et al} for two-component immiscible fluids. The…

comp-gas · 物理学 2009-10-22 Daryl Grunau , Shiyi Chen , Kenneth Egger

We present an analysis of diffusion in terms of the spontaneous density fluctuations in a non-thermal two-species fluid modeled by a lattice gas automaton. The power spectrum of the density correlation function is computed with statistical…

统计力学 · 物理学 2009-10-30 David Hanon , Jean Pierre Boon

The lattice Boltzmann equation (LBE), rooted in kinetic theory, provides a powerful framework for capturing complex flow behaviour by describing the evolution of single-particle distribution functions (PDFs). Despite its success, solving…

Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The…

偏微分方程分析 · 数学 2026-04-03 Ansgar Jüngel , Cordula Reisch , Sara Xhahysa