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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

In a seminal paper Ginzburg and Adler analyzed the bounce-back boundary conditions for the lattice Boltzmann scheme and showed that it could be made exact to second order for the Poiseuille flow if some expressions depending upon the…

数值分析 · 数学 2014-05-06 François Dubois , Pierre Lallemand , Mohamed Mahdi Tekitek

We show that, when a single relaxation time lattice Boltzmann algorithm is used to solve the hydrodynamic equations of a binary fluid for which the two components have different viscosities, strong spurious velocities in the steady state…

计算物理 · 物理学 2008-12-09 C. M. Pooley , H. Kusumaatmaja , J. M. Yeomans

In a previous work, we investigated a two-dimensional lattice-fluid model, displaying some waterlike thermodynamic anomalies. The model, defined on a triangular lattice, is now extended to aqueous solutions with apolar species. Water…

软凝聚态物质 · 物理学 2009-11-11 C. Buzano , E. De Stefanis , M. Pretti

Three-dimensional melting problems are investigated numerically with Lattice Boltzmann method (LBM). Regarding algorithm's accuracy and stability, Multiple-Relaxation-Time (MRT) models are employed to simplify the collision term in LBM.…

流体动力学 · 物理学 2016-07-12 Zheng Li , Mo Yang , Yuwen Zhang

We simulate the self-propulsion of devices in a fluid in the regime of low Reynolds numbers. Each device consists of three bodies (spheres or capsules) connected with two damped harmonic springs. Sinusoidal driving forces compress the…

计算工程、金融与科学 · 计算机科学 2011-08-20 Kristina Pickl , Jan Götz , Klaus Iglberger , Jayant Pande , Klaus Mecke , Ana-Suncana Smith , Ulrich Rüde

Lattice Boltzmann simulations of three-dimensional, isothermal hydrodynamics often use either the D3Q19 or the D3Q27 velocity sets. While both models correctly approximate Navier-Stokes in the continuum limit, the D3Q19 model is…

计算物理 · 物理学 2018-08-29 Martin Bauer , Ulrich Rüde

The lattice Boltzmann method (LBM) is known to suffer from stability issues when the collision model relies on the BGK approximation, especially in the zero viscosity limit and for non-vanishing Mach numbers. To tackle this problem, two…

计算物理 · 物理学 2020-06-09 C. Coreixas , G. Wissocq , B. Chopard , J. Latt

Operator split forcing schemes exploiting a symmetrization principle, i.e. Strang splitting, for cascaded lattice Boltzmann (LB) methods in two- and three-dimensions for fluid flows with impressed local forces are presented. Analogous…

流体动力学 · 物理学 2018-06-28 Farzaneh Hajabdollahi , Kannan N. Premnath

We present a Lattice-Boltzmann method for simulating self-propelling (active) colloidal particles in two-dimensions. Active particles with symmetric and asymmetric force distribution on its surface are considered. The velocity field…

软凝聚态物质 · 物理学 2009-11-11 Sanoop Ramachandran , P. B. Sunil Kumar , I. Pagonabarraga

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

流体动力学 · 物理学 2025-09-03 Yizhong Chen , Zhibin Wang

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…

In this paper, an efficient three-dimensional lattice Boltzmann (LB) model with multiple-relaxation-time (MRT) collision operator is developed for the simulation of multiphase flows. This model is an extension of our previous…

计算物理 · 物理学 2015-07-28 Hong Liang , Baochang Shi , Zhenhua Chai

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

量子物理 · 物理学 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

A new lattice Boltzmann method for simulating multiphase flows is developed theoretically. The method is adjusted such that its continuum limit is the Navier-Stokes equation, with a driving force derived from the Cahn-Hilliard free energy.…

统计力学 · 物理学 2014-09-25 Jasna Zelko , Burkhard Duenweg

This paper describes a work in progress about software and hardware architecture to steer and control an ongoing fluid simulation in a context of a serious game application. We propose to use the Lattice Boltzmann Method as the simulation…

图形学 · 计算机科学 2019-12-11 Mengchen Wang , Nicolas Ferey , Patrick Bourdot , Frederic Magoules

In a one-dimensional lattice, the induced metric (from a noncommutative geometry calculation) breaks translation invariance. This leads to some inconsistencies among different spectator frames, in the observation of the hoppings of a test…

高能物理 - 理论 · 物理学 2009-10-30 E. Atzmon

Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform…

数值分析 · 数学 2025-06-10 Ji-Wang Luo , Li Chen , Kentaro Yaji , Wen-Quan Tao

We present the first top-down ansatz for constructing lattice Boltzmann methods (LBM) in d dimensions. In particular, we construct a relaxation system (RS) for a given scalar, linear, d-dimensional advection-diffusion equation.…

数值分析 · 数学 2022-09-14 Stephan Simonis , Martin Frank , Mathias J. Krause

In this paper, we consider the Boltzmann equation with respect to orthonormal vielbein fields in conservative form. This formalism allows the use of arbitrary coordinate systems to describe the space geometry, as well as of an adapted…

流体动力学 · 物理学 2019-04-02 Sergiu Busuioc , Victor E. Ambrus