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Inverse modeling of fluid flow through porous soils and reservoir rocks enables accurate determination of permeability and seepage properties critical for applications such as contaminant filtration, stability assessments, and optimization…

流体动力学 · 物理学 2023-10-03 Qiuyu Wang , Krishna Kumar

Adaptive lattice Boltzmann methods (LBMs) are based on velocity discretizations that self-adjust to local macroscopic conditions such as velocity and temperature. While this feature improves the accuracy and the stability of LBMs for large…

计算物理 · 物理学 2020-11-04 C. Coreixas , J. Latt

A upscaled lattice Boltzmann method (LBM) for flow simulations in heterogeneous porous media, at both pore and Darcy scales, is proposed in this paper. In the micro-scale simulations, we model flows using LBM with the modified Guo et al.…

计算物理 · 物理学 2013-12-03 Jun Li , Donald Brown

This paper proposes an improved lattice Boltzmann scheme for incompressible axisymmetric flows. The scheme has the following features. First, it is still within the framework of the standard lattice Boltzmann method using the…

计算物理 · 物理学 2010-06-07 Q. Li , Y. L. He , G. H. Tang , W. Q. Tao

Double-diffusive convection in porous media is a common phenomenon in nature, and has received considerable attention in a wide variety of engineering applications. In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB)…

计算物理 · 物理学 2017-08-29 Qing Liu , Ya-Ling He

This paper deals with the numerical modelling of the interaction between a fluid and an incompressible solid (Neo Hookean) in small perturbations with the lattice Boltzmann method (LBM). In order to use a monolithic formulation and to solve…

计算物理 · 物理学 2020-11-18 Sébastien Mey , Erwan Liberge , Claudine Béghein

The pseudopotential multiphase lattice Boltzmann (LB) model is a very popular model in the LB community for simulating multiphase flows. When the multiphase modeling involves a solid boundary, a numerical scheme is required to simulate the…

计算物理 · 物理学 2019-11-27 Q. Li , Y. Yu , Kai H. Luo

In this paper, we present a numerical scheme for the diffuse-interface model in [Abels, Garcke, Gr\"un, M3AS 22(3), 2012] for two-phase flow of immiscible, incompressible fluids. As that model is in particular consistent with…

数值分析 · 数学 2012-10-19 Günther Grün , Fabian Klingbeil

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…

元胞自动机与格子气 · 物理学 2015-06-26 M. Sbragaglia , R. Benzi , L. Biferale , S. Succi , K. Sugiyama , F. Toschi

We develop a mesoscale computational model to describe the interaction of a droplet with a solid. The model is based on the hybrid combination of the immersed boundary and the lattice Boltzmann computational schemes: the former is used to…

We propose a thermodynamically consistent phase-field model for the flow of a mixture of two different viscous incompressible fluids of equal density in a bounded domain. We prove the well-posedness of local-in-time strong solutions by…

偏微分方程分析 · 数学 2025-11-18 Helmut Abels , Alice Marveggio , Andrea Poiatti

It is proposed a dimensional Lattice Boltzmann Method (LBM) of wide application for simulating fluid flow and heat transfer problems. The proposed LBM consists in the numerical solution of the discrete lattice Boltzmann equation (LBE) using…

流体动力学 · 物理学 2024-05-14 Ivan Talão Martins , Pablo Fariñas Alvariño , Luben Cabezas-Gómez

A novel coupled level-set lattice Boltzmann method on adaptive Cartesian grids for simulating liquid-gas multiphase flows is presented. The approach addresses the inherent challenges of accurately modeling multiphase systems characterized…

流体动力学 · 物理学 2026-01-12 Julian Vorspohl , Yuxing Peng , Matthias Meinke , Dominik Krug , Wolfgang Schröder

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…

统计力学 · 物理学 2011-02-11 Umberto Marini Bettolo Marconi , Simone Melchionna

We derive the partial differential equation (PDE) to which the pseudo-potential lattice Boltzmann method (P-LBM) converges under diffusive scaling, providing a rigorous basis for its consistency analysis. By establishing a direct link…

流体动力学 · 物理学 2025-04-22 Luiz Eduardo Czelusniak , Tim Niklas Bingert , Mathias J. Krause , Stephan Simonis

This paper presents an improved immersed moving boundary model (IBM) for solving complex fluid-particle interactions in a coupled lattice Boltzmann method (LBM) and an adhesive discrete element method (DEM), using the "partially saturated…

软凝聚态物质 · 物理学 2020-10-21 Wenwei Liu , Chuan-Yu Wu

The lattice Boltzmann method (LBM) is routinely employed in the simulation of complex multiphase flows comprising bulk phases separated by non-ideal interfaces. LBM is intrinsically mesoscale with an hydro-dynamic equivalence popularly set…

计算物理 · 物理学 2019-05-24 Daniele Chiappini , Xiao Xue , Mauro Sbragaglia , Giacomo Falcucci

Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise…

In this work, we have theoretically analyzed and numerically evaluated the accuracy of high-order lattice Boltzmann (LB) models for capturing non-equilibrium effects in rarefied gas flows. In the incompressible limit, the LB equation is…

流体动力学 · 物理学 2009-09-08 Jianping Meng , Yonghao Zhang

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…

计算物理 · 物理学 2012-02-17 Q. Li , K. H. Luo , Y. J. Gao