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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

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

We present a novel, hardware-agnostic implementation strategy for lattice Boltzmann (LB) simulations, which yields massive performance on homogeneous and heterogeneous many-core platforms. Based solely on C++17 Parallel Algorithms, our…

计算物理 · 物理学 2021-05-11 Jonas Latt , Christophe Coreixas , Joël Beny

We describe in detail a recently proposed lattice-Boltzmann model for simulating flows with multiple phases and components. In particular, the focus is on the modeling of one-component fluid systems which obey non-ideal gas equations of…

comp-gas · 物理学 2009-10-22 Xiaowen Shan , Hudong Chen

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…

计算物理 · 物理学 2016-07-26 A. Gupta , M. Sbragaglia , A. Scagliarini

This document reports investigations of models of multiphase flows using Lattice Boltzmann methods. The emphasis is on deriving by Chapman-Enskog techniques the corresponding macroscopic equations. The singular interface…

软凝聚态物质 · 物理学 2007-05-23 Erik Aurell , Minh Do-Quang

During the last two years the RealityGrid project has allowed us to be one of the few scientific groups involved in the development of computational grids. Since smoothly working production grids are not yet available, we have been able to…

分布式、并行与集群计算 · 计算机科学 2010-10-14 J. Harting , J. Chin , M. Venturoli , P. V. Coveney

This project aims to advance differentiable fluid dynamics for hypersonic coupled flow over porous media, demonstrating the potential of automatic differentiation (AD)-based optimization for end-to-end solutions. Leveraging AD efficiently…

流体动力学 · 物理学 2024-07-01 Wenkang Wang , Xuanwei Zhang , Deniz Bezgin , Aaron Buhendwa , Xu Chu , Bernhard Weigand

For multiscale gas flows, kinetic-continuum hybrid method is usually used to balance the computational accuracy and efficiency. However, the kinetic-continuum coupling is not straightforward since the coupled methods are based on different…

流体动力学 · 物理学 2015-05-19 Jianping Meng , Yonghao Zhang , Xiaowen Shan

In this paper, we develop a three-dimensional multiple-relaxation-time lattice Boltzmann method (MRT-LBM) based on a set of non-orthogonal basis vectors. Compared with the classical MRT-LBM based on a set of orthogonal basis vectors, the…

流体动力学 · 物理学 2023-06-29 Linlin Fei , Jingyu Du , Kai H. Luo , Sauro Succi , Marco Lauricella , Andrea Montessori , Qian Wang

This paper introduces JAX-FEM, an open-source differentiable finite element method (FEM) library. Constructed on top of Google JAX, a rising machine learning library focusing on high-performance numerical computing, JAX-FEM is implemented…

数学软件 · 计算机科学 2023-06-28 Tianju Xue , Shuheng Liao , Zhengtao Gan , Chanwook Park , Xiaoyu Xie , Wing Kam Liu , Jian Cao

We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our model incorporates hydrodynamic flow, diffusion, surface…

软凝聚态物质 · 物理学 2010-11-22 M. Mendoza , F. K. Wittel , H. J. Herrmann

We generalize to three dimensions (3D) a recently developed improved multi-component pseudopotential lattice Boltzmann method and analyze its applicability to simulate flows through realistic porous media. The model is validated and…

流体动力学 · 物理学 2022-10-04 M. Sedahmed , R. C. V. Coelho , N. A. M. Araújo , E. M. Wahba , H. A. Warda

In this paper, a multiple-relaxation-time lattice Boltzmann (LB) approach is developed for the simulation of three-dimensional (3D) liquid-vapor phase change based on the pseudopotential model. In contrast to some existing 3D thermal LB…

数值分析 · 数学 2022-06-03 Jiangxu Huang , Lei Wang , Kun He , Changsheng Huang

The pseudo-potential lattice Boltzmann (LB) model is a widely used multiphase model in the LB community. In this model, an interaction force, which is usually implemented via a forcing scheme, is employed to mimic the molecular interactions…

流体动力学 · 物理学 2012-07-24 Q. Li , K. H. Luo , X. J. Li

The present study provides a systematic derivation of a phase-field version of the momentum, mass and heat transport equations, while accounting for chemical reactions in the fluid phase. To achieve this goal, the volume averaging technique…

流体动力学 · 物理学 2025-09-11 Reza Namdar , Mohammad Norouzi , Fathollah Varnik

Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this promise due to their intrinsic compatibility with highly…

计算物理 · 物理学 2025-06-30 Adrian Kummerländer , Fedor Bukreev , Yuji Shimojima , Shota Ito , Mathias J. Krause

The numerical simulation of multiphase flows involving dispersed components with large scale disparities, such as the collisions between millimeter-sized bubbles and micron-sized mineral particles in flotation, poses a significant…

流体动力学 · 物理学 2026-05-21 Linfeng Jiang , Enrico Calzavarini , Dominik Krug

In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underlying spatial grid, thus allowing for more efficient geometric representations of complex…

流体动力学 · 物理学 2016-08-08 Rastin Matin , Marek Krzysztof Misztal , Anier Hernandez-Garcia , Joachim Mathiesen

We develop a lattice Boltzmann equation method for simulating multi-phase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen {\em et al} for two-component immiscible fluids. The…

comp-gas · 物理学 2009-10-22 Daryl Grunau , Shiyi Chen , Kenneth Egger