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Numerical simulation results of basic exactly solvable fluid flows using the previously proposed Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system are presented. As was noted in the theoretical work of H.…

流体动力学 · 物理学 2023-01-12 Alexei Chekhlov , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

We present a two-way coupled fluid-structure interaction scheme for rigid bodies using a two-population lattice Boltzmann formulation for compressible flows. Arbitrary Lagrangian-Eulerian formulation of the discrete Boltzmann equation on…

流体动力学 · 物理学 2021-11-03 Abhimanyu Bhadauria , Benedikt Dorschner , Ilya Karlin

The transport of a passive scalar restricted on interfaces, which is advected by the fluid motions have numerous applications in multiphase transport phenomena. A prototypical example is the advection-diffusion of the concentration field of…

流体动力学 · 物理学 2025-04-15 William Schupbach , Kannan Premnath

A four-way coupling scheme for the direct numerical simulation of particle-laden flows is developed and analyzed. It employs a novel adaptive multi-relaxation time lattice Boltzmann method to simulate the fluid phase efficiently. The…

计算物理 · 物理学 2020-03-04 Christoph Rettinger , Ulrich Rüde

A volumetric lattice Boltzmann (LB) method is developed for the particle-resolved direct numerical simulation of thermal particulate flows with conjugate heat transfer. This method is devised as a single-domain approach by applying the…

计算物理 · 物理学 2024-11-01 Xiaojie Zhang , Donglei Wang , Qing Li , Rongzong Huang

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

偏微分方程分析 · 数学 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

We describe a recent multiscale approach based on the concurrent coupling of constrained molecular dynamics for long biomolecules with a mesoscopic lattice Boltzmann treatment of solvent hydrodynamics. The multiscale approach is based on a…

生物物理 · 物理学 2008-02-27 Maria Fyta , Simone Melchionna , Efthimios Kaxiras , Sauro Succi

A detailed analysis is presented to demonstrate the capabilities of the lattice Boltzmann method. Thorough comparisons with other numerical solutions for the two-dimensional, driven cavity flow show that the lattice Boltzmann method gives…

comp-gas · 物理学 2009-10-22 Shuling Hou , Qisu Zou , Shiyi Chen , Gary D. Doolen , Allen C. Cogley

Analytical solutions to the lattice Boltzmann Equation make it possible to study the method itself, explore the properties of its collision operator, and identify implementations of boundary conditions. In this paper, we propose a method to…

流体动力学 · 物理学 2025-06-02 Jordan Larson , Alexander J. Wagner

In this work, a dynamic-Immersed--Boundary method combined with a BGK-Lattice--Boltzmann technique is developed and critically discussed. The fluid evolution is obtained on a three-dimensional lattice with 19 reticular velocities (D3Q19…

流体动力学 · 物理学 2022-07-14 Alessandro Coclite , Sergio Ranaldo , Giuseppe Pascazio , Marco D. de Tullio

Biot's consolidation model is a classical model for the evolution of deformable porous media saturated by a fluid and has various interdisciplinary applications. While numerical solution methods to solve poroelasticity by typical schemes…

数值分析 · 数学 2026-05-21 Stephan B. Lunowa , Barbara Wohlmuth

New method to simulate heat transport in multiphase lattice Boltzmann (LB) method is proposed. The energy transport equation needs to be solved when phase boundaries are present. Internal energy is represented by an additional set of…

流体动力学 · 物理学 2018-08-29 Alexander Kupershtokh , Dmitry Medvedev , Igor Gribanov

The lattice Boltzmann method can be used to simulate flow through porous media with full geometrical resolution. With such a direct numerical simulation, it becomes possible to study fundamental effects which are difficult to assess either…

计算工程、金融与科学 · 计算机科学 2015-08-13 Ehsan Fattahia , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde , Michael Manhart , Rainer Helmig

Electroconvective flow between two infinitely long parallel electrodes is investigated via a multiphysics computational model. The model solves for spatiotemporal flow properties using two-relaxation-time Lattice Boltzmann Method for fluid…

计算物理 · 物理学 2019-07-31 Yifei Guan , Igor Novosselov

In this work, we present a general second-order phase-field model for the transport of insoluble surfactant in incompressible two-phase flows. In this model, the second-order local Allen-Cahn equation is applied for interface capturing, a…

流体动力学 · 物理学 2024-09-04 Chengjie Zhan , Hong Liang , Zhenhua Chai , Baochang Shi

Lattice Boltzmann models provide better understanding with mesoscopic eyesight on multi-component diffusion than macroscopic models. Based on the kinetic theory and starting from the He-Luo model, the state-of-the-art multi-component…

计算物理 · 物理学 2018-09-06 Ju'an Huang , Cheng Bao , Zeyi Jiang , Xinxin Zhang

The problem of energy conservation in the lattice Boltzmann method is solved. A novel model with energy conservation is derived from Boltzmann's kinetic theory. It is demonstrated that the full thermo-hydrodynamics pertinent to the…

统计力学 · 物理学 2007-05-23 S. Ansumali , I. V. Karlin

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 direct numerical simulation of particulate systems offers a unique approach to study the dynamics of fluid-solid suspensions by fully resolving the submerged particles and without introducing empirical models. For the lattice Boltzmann…

计算工程、金融与科学 · 计算机科学 2017-06-06 Christoph Rettinger , Ulrich Rüde

The lattice Boltzmann method has been successfully applied for the simulation of flow through porous media in the creeping regime. Its technical properties, namely discretization, straightforward implementation and parallelization, are…

流体动力学 · 物理学 2015-06-12 Ariel Narváez , Kazem Yazdchi , Stefan Luding , Jens Harting
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