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A stable partitioned algorithm for coupling incompressible flows with compressible elastic solids is described. This added-mass partitioned (AMP) scheme requires no sub-iterations, can be made fully second- or higher-order accurate, and…

数值分析 · 数学 2013-08-28 J. W. Banks , W. D. Henshaw , D. W. Schwendeman

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…

统计力学 · 物理学 2025-05-30 Matteo Lulli , Emily S. C. Ching

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…

流体动力学 · 物理学 2013-10-01 Zai-Bao Yang , Wen-An Yong

We report hybrid lattice Boltzmann (HLB) simulations of the hydrodynamics of an active nematic liquid crystal sandwiched between confining walls with various anchoring conditions. We confirm the existence of a transition between a passive…

软凝聚态物质 · 物理学 2009-11-13 D. Marenduzzo , E. Orlandini , M. E. Cates , J. M. Yeomans

In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys. Lett. \textbf{90}, 54003 (2010)] so that it is suitable also for incompressible flows. To decrease the artificial oscillations,…

软凝聚态物质 · 物理学 2013-05-22 Feng Chen , Aiguo Xu , Guangcai Zhang , Yonglong Wang

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

In this work, we present accLB, a high-performance Fortran-based lattice Boltzmann (LB) solver tailored to multiphase turbulent flows on multi-GPU architectures. The code couples a conservative phase-field formulation of the Allen-Cahn…

We present a systematic study of capillary filling for multi-phase flows by using mesoscopic lattice Boltzmann models describing a diffusive interface moving at a given contact angle with respect to the walls. We compare the numerical…

元胞自动机与格子气 · 物理学 2007-07-09 F. Diotallevi , L. Biferale , S. Chibbaro , A. Lamura , G. Pontrelli , M. Sbragaglia , S. Succi , F. Toschi

Current multi-component, multiphase pseudo-potential lattice Boltzmann models have thermodynamic inconsistencies that prevent them to correctly predict the thermodynamic phase behavior of partially miscible multi-component mixtures, such as…

计算物理 · 物理学 2020-11-25 Cheng Peng , Luis F. Ayala , Orlando M. Ayala

This work presents a conforming finite-element scheme for the non-isothermal Allen-Cahn-Navier-Stokes system, incorporating periodic, closed, and thermal boundary conditions. The system comprises the incompressible Navier-Stokes equations…

数值分析 · 数学 2026-04-24 Aaron Brunk , Dennis Höhn

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

The off-lattice Boltzmann (OLB) method consists of numerical schemes which are used to solve the discrete Boltzmann equation. Unlike the commonly used lattice Boltzmann method, the spatial and time steps are uncoupled in the OLB method. In…

计算物理 · 物理学 2015-05-20 Parthib R. Rao , Laura A. Schaefer

We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting…

统计力学 · 物理学 2009-11-13 S. Melchionna , U. Marini Bettolo Marconi

The modeling and simulation of two-phase flows is still an active research area, mainly when surface tension is present. One way to model the different phases is with interface capturing methods. Two well-established interface capturing…

流体动力学 · 物理学 2022-02-24 Malú Grave , Alvaro L. G. A. Coutinho

Second-order phase field models have emerged as an attractive option for capturing the advection of interfaces in two-phase flows. Prior to these, state-of-the-art models based on the Cahn-Hilliard equation, which is a fourth-order…

流体动力学 · 物理学 2022-12-14 Shahab Mirjalili , Makrand A Khanwale , Ali Mani

Lattice-Boltzmann methods are established mesoscopic numerical schemes for fluid flow, that recover the evolution of macroscopic quantities (viz., velocity and pressure fields) evolving under macroscopic target equations. The approximated…

Convergence acceleration of flow simulations to their steady states at lower Mach numbers can be achieved via preconditioning the lattice Boltzmann (LB) schemes that alleviate the associated numerical stiffness, which have so far been…

计算物理 · 物理学 2022-08-17 Eman Yahia , Kannan Premnath

A D2Q9 Hybrid Lattice Boltzmann Method (HLBM) is proposed for the simulation of both compressible subsonic and supersonic flows. This HLBM is an extension of the model of Feng et al: [12], which has been found, via different test cases, to…

流体动力学 · 物理学 2020-11-05 Florian Renard , Yongliang Feng , Jean-François Boussuge , Pierre Sagaut

We present an effective method for simulating wall-bounded multiphase flows consisting of $N$ ($N\geqslant 2$) immiscible incompressible fluids with different densities, viscosities and pairwise surface tensions. The N-phase physical…

流体动力学 · 物理学 2017-04-05 S. Dong

In this paper, a phase-field based model under the framework of discrete unified gas-kinetic scheme (DUGKS) for incompressible multiphase fluid flows is proposed. Two kinetic models are constructed to solve the conservative Allen-Cahn (A-C)…

计算物理 · 物理学 2019-04-10 Zeren Yang , Chengwen Zhong , Congshan Zhuo