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In the present paper a lattice Boltzmann scheme is presented which exhibits an increased stability and accuracy with respect to standard single- or multi-relaxation-time (MRT) approaches. The scheme is based on a single-relaxation-time…

Fluid Dynamics · Physics 2015-05-27 Orestis Malaspinas

We probe the validity of Crooks' fluctuation relation on the fluctuating lattice-Boltzmann model (FLBM), a highly simplified lattice model for a thermal ideal gas. We drive the system between two thermodynamic equilibrium states and compute…

Statistical Mechanics · Physics 2010-06-30 Léo Granger , Markus Niemann , Holger Kantz

We determine properties of the lattice Boltzmann method for semiclassical fluids, which is based on the Boltzmann equation and the equilibrium distribution function is given either by the Bose-Einstein or the Fermi-Dirac ones. New…

Fluid Dynamics · Physics 2018-02-23 Rodrigo C. V. Coelho , Mauro M. Doria

We propose numerical simulations of viscoelastic fluids based on a hybrid algorithm combining Lattice-Boltzmann models (LBM) and Finite Differences (FD) schemes, the former used to model the macroscopic hydrodynamic equations, and the…

Computational Physics · Physics 2016-07-26 A. Gupta , M. Sbragaglia , A. Scagliarini

We present a novel positive kinetic scheme built on the efficient collide-and-stream algorithm of the lattice Boltzmann method (LBM) to address hyperbolic conservation laws. We focus on the compressible Euler equations with strong…

Numerical Analysis · Mathematics 2024-11-25 Gauthier Wissocq , Yongle Liu , Rémi Abgrall

The ensemble data assimilation of computational fluid dynamics simulations based on the lattice Boltzmann method (LBM) and the local ensemble transform Kalman filter (LETKF) is implemented and optimized on a GPU supercomputer based on…

We propose a single-step simplified lattice Boltzmann algorithm capable of performing magnetohydrodynamic (MHD) flow simulations in pipes for very small values of magnetic Reynolds numbers $R_m$. In some previous works, most lattice…

Fluid Dynamics · Physics 2023-01-19 Hugo S. Tavares , Bruno Magacho , Luca Moriconi , Juliana B. R. Loureiro

A new finite volume (FV) discretisation method for the Lattice Boltzmann (LB) equation which combines high accuracy with limited computational cost is presented. In order to assess the performance of the FV method we carry out a systematic…

Fluid Dynamics · Physics 2016-03-02 Kalyan Shrestha , Gilmar Mompean , Enrico Calzavarini

In this paper, we present the algorithm for the simulation of a single bubble rising in a stagnant liquid using Euler-Lagrangian (EL) approach. The continuous liquid phase is modeled using BGK approximation of lattice Boltzmann method…

Fluid Dynamics · Physics 2017-10-24 Alankar Agarwal , B. Ravindra , Akshay Prakash

A three-dimensional (3D) lattice Boltzmann method based on central moments is derived. Two main elements are the local attractors in the collision term and the source terms representing the effect of external and/or self-consistent internal…

Fluid Dynamics · Physics 2012-02-29 Kannan N. Premnath , Sanjoy Banerjee

We present an energy conserving lattice Boltzmann model based on a crystallographic lattice for simulation of weakly compressible flows. The theoretical requirements and the methodology to construct such a model are discussed. We…

Computational Physics · Physics 2020-01-29 Praveen Kumar Kolluru , Mohammad Atif , Manjusha Namburi , Santosh Ansumali

An immersed interface-lattice Boltzmann method (II-LBM) is developed for modelling fluid-structure systems. The key element of this approach is the determination of the jump conditions that are satisfied by the distribution functions within…

Computational Physics · Physics 2021-01-20 Jianhua Qin , Ebrahim M. Kolahdouz , Boyce E. Griffith

To simulate highly-resolved flow fields, we extend the Quantum Lattice Boltzmann Method (QLBM) to be able to simulate multiple time steps without state extraction or reinitialization. We adjust and extend given QLBM approaches from the…

Fluid Dynamics · Physics 2025-10-08 Aaron Nagel , Johannes Löwe

Lattice Boltzmann method (LBM) has been applied to predict flow properties of porous media including intrinsic permeability, where it is implicitly assumed that the LBM is equivalent to the incompressible (or near incompressible)…

Fluid Dynamics · Physics 2016-10-03 Jun Li , Minh Tuan Ho , Lei Wu , Yonghao Zhang

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

We investigate two-fluid BGK kinetic methods for binary fluids. The developed theory works for asymmetric as well as symmetric systems. For symmetric systems it recovers Sirovich's theory and is summarized in models A and B. For asymmetric…

Soft Condensed Matter · Physics 2009-11-10 Aiguo Xu

An elegant and uniform relaxation-rate formula is presented for the entropic lattice Boltzmann method (ELBM). The formula not only guarantees the discrete time H-theorem at numerical level but also gives full consideration to the…

Computational Physics · Physics 2020-01-08 Weifeng Zhao , Wen-An Yong

In this paper, we develop an asymptotic-preserving and positivity-preserving discontinuous Galerkin (DG) method for solving the semiconductor Boltzmann equation in the diffusive scaling. We first formulate the diffusive relaxation system…

Numerical Analysis · Mathematics 2025-03-26 Huan Ding , Liu Liu , Xinghui Zhong

Saturated vapor condensation on the homogeneous and heterogeneous sub-cooled wall under gravity was numerically simulated by the improved pseudo-potential phase-change multiple-relaxation-time lattice Boltzmann (LB) method. Firstly, the…

Fluid Dynamics · Physics 2018-08-16 Wandong Zhao , Ying Zhang , Ben Xu , Wenqiang Shang , Shuisheng Jiang

A constraint penalization method is introduced within the Lattice Boltzmann (LBM) framework to model fluid-structure interactions involving rigid bodies. The proposed approach extends the fictitious domain concept by enforcing the…

Fluid Dynamics · Physics 2025-11-04 Tristan Millet , Erwan Liberge
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