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In this work we discuss the coupling of two mesoscopic approaches for fluid dynamics, namely the lattice Boltzmann method (LB) and the multiparticle collision dynamics (MPCD) \cite{kapral2008multiparticle} to design a new class of flexible…

Computational Physics · Physics 2020-04-02 Andrea Montessori , Adriano Tiribocchi , Marco Lauricella , Sauro Succi

It is well-known that in fluid dynamics an alternative to customary direct solution methods (based on the discretization of the fluid fields) is provided by so-called \emph{particle simulation methods}. Particle simulation methods rely…

Fluid Dynamics · Physics 2009-11-13 Marco Tessarotto , Enrico Fonda , Massimo Tessarotto

In this paper, two different approaches fluid forces computation approaches are compared in the frame of Volume Penalization - Lattice Boltzmann Method (VP-LBM). The first method, the momentum exchange method, uses the variation of the…

Fluid Dynamics · Physics 2021-10-05 E. Liberge , C. Béghein

A highly efficient three-dimensional (3D) Lattice Boltzmann (LB) model for high speed compressible flows is proposed. This model is developed from the original one by Kataoka and Tsutahara[Phys. Rev. E 69, 056702 (2004)]. The convection…

Statistical Mechanics · Physics 2010-12-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

A unified framework to derive discrete time-marching schemes for coupling of immersed solid and elastic objects to the lattice Boltzmann method is presented. Based on operator splitting for the discrete Boltzmann equation, second-order…

Computational Physics · Physics 2017-01-04 Ulf D. Schiller

A numerical method, based on the discrete lattice Boltzmann equation, is presented for solving the volume-averaged Navier-Stokes equations. With a modified equilibrium distribution and an additional forcing term, the volume-averaged…

Fluid Dynamics · Physics 2014-07-10 Jingfeng Zhang , Limin Wang , Jie Ouyang

We present a multi-scale lattice Boltzmann scheme, which adaptively refines particles' velocity space. Different velocity sets, i.e., higher- and lower-order lattices, are consistently and efficiently coupled, allowing us to use the…

Fluid Dynamics · Physics 2021-06-16 N. G. Kallikounis , B. Dorschner , I. V. Karlin

The lattice Boltzmann method has become a standard for efficiently solving problems in fluid dynamics. While unstructured grids allow for a more efficient geometrical representation of complex boundaries, the lattice Boltzmann methods is…

Modeling and direct numerical simulation of particle-laden flows have a tremendous variety of applications in science and engineering across a vast spectrum of scales from pollution dispersion in the atmosphere, to fluidization in the…

Computation of vorticity in conjunction with the strain rate tensor, plays an important role in fluid mechanics in vortical structure identification and in the modeling of various complex fluids. For the simulation of flows accompanied by…

Fluid Dynamics · Physics 2019-08-20 Farzaneh Hajabdollahi , Kannan N. Premnath

This work analyzes a fully discrete mixed finite element method in a Banach space framework for solving nonstationary coupled fluid flow problems modeled by the Brinkman-Forchheimer equations, with applications to reverse osmosis. The model…

Numerical Analysis · Mathematics 2025-07-08 Zeinab Gharibi , Mostafa Abbaszadeh , Mehdi Dehghan

The lattice Boltzmann equation describes the evolution of the velocity distribution function on a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the equation is a derivative of lattice gas automata, it…

comp-gas · Physics 2008-02-03 James D. Sterling , Shiyi Chen

In this paper we presented a lattice Boltzmann with square grid for compressible flow problems. Triple level velocity is considered for each cell. Migration step use discrete velocity but continuous parameters are utilized to calculate…

Computational Engineering, Finance, and Science · Computer Science 2016-09-16 M. Komeili , M. Mirzaei , M. Shabouei

Lattice Boltzmann models are briefly introduced together with references to methods used to predict their ability for simulations of systems described by partial differential equations that are first order in time and low order in space…

Numerical Analysis · Mathematics 2024-11-15 Pierre Lallemand , François Dubois , Li-shi Luo

A numerically stable method to solve the discretized Boltzmann-Enskog equation describing the behavior of non ideal fluids under inhomogeneous conditions is presented. The algorithm employed uses a Lagrangian finite-difference scheme for…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Simone Melchionna , Umberto Marini Bettolo Marconi

Immersed boundary-lattice Boltzmann method (IB-LBM) has been widely used for simulation of particle-laden flows recently. However, it was limited to small-scale simulations with no more than O(103) particles. Here, we expand IB-LBM for…

Computational Physics · Physics 2020-02-21 Maoqiang Jiang , Jing Li , Zhaohui Liu

A general lattice Boltzmann (LB) model is proposed for solving nonlinear partial differential equations with the form $\partial_t \phi+\sum_{k=1}^{m} \alpha_k \partial_x^k \Pi_k (\phi)=0$, where $\alpha_k$ are constant coefficients, and…

Computational Physics · Physics 2018-01-17 Baochang Shi , Hanzhong He , Zhaoli Guo

Spurious velocities are unphysical currents that appear close to curved interfaces in diffuse interface methods. We analyse the causes of these spurious velocities in the free energy lattice Boltzmann algorithm. By making a suitable choice…

Statistical Mechanics · Physics 2009-11-13 C. M. Pooley , K. Furtado

In this paper, a finite volume lattice Boltzmann method (FVLBM) based on cell-center unstructured girds is presented and full studied to simulate the incompressible laminar flows, which is simple modified from the cell-vertex unstructured…

Computational Physics · Physics 2018-12-04 Yong Wang , Chengwen Zhong , Jun Cao , Congshan Zhuo

Fluid-particle systems are very common in many natural processes and engineering applications. However, accurately and efficiently modelling fluid-particle systems with complex particle shapes is still a challenging task. Here, we present a…

Fluid Dynamics · Physics 2023-03-22 Pei Zhang , Ling Qiu , S. A. Galindo-Torres , Yilin Chen , A. Scheuermann , Ling Li
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