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We present a numerical study of the dynamics of a non-ideal fluid subject to a density-dependent pseudo-potential characterized by a hierarchy of nested attractive and repulsive interactions. It is shown that above a critical threshold of…

Soft Condensed Matter · Physics 2009-11-10 A. Lamura , S. Succi

We present three-dimensional numerical simulations of the classical Taylor experiment on droplet deformation within a shear flow. We have used the promising Lattice-Boltzmann method numerical scheme to simulate single droplet deformation…

comp-gas · Physics 2009-10-31 Haowen Xi , Comer Duncan

A high-performance gas kinetic solver using multi-level parallelization is developed to enable pore-scale simulations of rarefied flows in porous media. The Boltzmann model equation is solved by the discrete velocity method with an…

Computational Physics · Physics 2017-12-05 Minh Tuan Ho , Lianhua Zhu , Lei Wu , Peng Wang , Zhaoli Guo , Zhi-Hui Li , Yonghao Zhang

The development of accurate and fast numerical schemes for the five fold Boltzmann collision integral represents a challenging problem in scientific computing. For a particular class of interactions, including the so-called hard spheres…

Analysis of PDEs · Mathematics 2016-08-16 Clément Mouhot , Lorenzo Pareschi

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.…

Fluid Dynamics · Physics 2023-01-12 Alexei Chekhlov , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

A previously proposed [X. Shan and H. Chen, Phys. Rev. E {\bf 47}, 1815, (1993)] lattice Boltzmann model for simulating fluids with multiple components and interparticle forces is described in detail. Macroscopic equations governing the…

comp-gas · Physics 2009-10-28 Xiaowen Shan , Gary Doolen

Modelling the vascular transport and adhesion of man-made particles is crucial for optimizing their efficacy in the detection and treatment of diseases. Here, a Lattice Boltzmann and Immersed Boundary methods are combined together for…

Fluid Dynamics · Physics 2016-06-07 Alessandro Coclite , Marco Donato de Tullio , Giuseppe Pascazio , Paolo Decuzzi

We introduce a novel quantum algorithm for the lattice Boltzmann method (LBM) based on the one-step simplified LBM. The structure of the algorithm allows for more flexibility in modelling different physics in contrast to earlier quantum…

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…

Numerical Analysis · Mathematics 2026-05-21 Stephan B. Lunowa , Barbara Wohlmuth

The lattice Boltzmann equation (LBE), rooted in kinetic theory, provides a powerful framework for capturing complex flow behaviour by describing the evolution of single-particle distribution functions (PDFs). Despite its success, solving…

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…

Statistical Mechanics · Physics 2007-05-23 S. Ansumali , I. V. Karlin

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

Computational Physics · Physics 2013-11-20 R. Meyer

A lattice Boltzmann method for axisymmetric multiphase flows is presented and validated. The method is capable of accurately modeling flows with variable density. We develop the classic Shan-Chen multiphase model [ Phys. Rev. E 47 1815…

Latitude on the choice of initialisation is a shared feature between one-step extended state-space and multi-step methods. The paper focuses on lattice Boltzmann schemes, which can be interpreted as examples of both previous categories of…

Numerical Analysis · Mathematics 2024-02-28 Thomas Bellotti

In this paper, we develop a lattice Boltzmann scheme based on the Vielbein formalism for the study of fluid flows on spherical surfaces. The Vielbein vector field encodes all details related to the geometry of the underlying spherical…

The immersed boundary lattice Boltzmann method (IB-LBM) has been widely used in the simulation of fluid-solid interaction and particulate flow problems, since proposed in 2004. However, it is usually a non-trivial task to retain the…

Computational Physics · Physics 2018-03-28 Shi Tao , Qing He , Baiman Chen , Simin Huang

Central moment lattice Boltzmann method (LBM) is one of the more recent developments among the lattice kinetic schemes for computational fluid dynamics. A key element in this approach is the use of central moments to specify collision…

Computational Physics · Physics 2012-02-29 Yang Ning , Kannan N. Premnath

We present an algorithm to simulate the many-body depletion interaction between anisotropic colloids in an implicit way, integrating out the degrees of freedom of the depletants, which we treat as an ideal gas. Because the depletant…

Soft Condensed Matter · Physics 2015-08-31 Jens Glaser , Andrew S. Karas , Sharon C. Glotzer

We present an energy-conserving multiple-relaxation-time finite difference lattice Boltzmann model for compressible flows. This model is based on a 16-discrete-velocity model. The collision step is first calculated in the moment space and…

Statistical Mechanics · Physics 2015-05-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

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…

Computational Physics · Physics 2008-12-09 C. M. Pooley , H. Kusumaatmaja , J. M. Yeomans
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