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Related papers: A non-slip boundary condition for lattice Boltzman…

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In the lattice Boltzmann method (LBM), the widely utilized wall boundary is the bounce-back (BB) boundary, which corresponds to the no-slip boundary. The BB boundary prevents the LBM from capturing the accurate shear drag on the wall when…

Fluid Dynamics · Physics 2021-09-01 Mengtao Han , Ryozo Ooka , Hideki Kikumoto

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

In this contribution, we recall the derivation of the anti bounce back boundary condition for the D2Q9 lattice Boltzmann scheme. We recall various elements of the state of the art for anti bounce back applied to linear heat and acoustics…

Numerical Analysis · Mathematics 2020-07-13 François Dubois , Pierre Lallemand , Mohamed-Mahdi Tekitek

Interface between two phases of matter are ubiquitous in nature and technology. Determining the correct velocity condition at an interface is essential for understanding and designing of flows over a surface. We demonstrate that both the…

Fluid Dynamics · Physics 2016-08-31 Joseph John Thalakkottor , Kamran Mohseni

The conventional boundary conditions at the interface between two flowing liquids include continuity of the tangential velocity. We have tested this assumption with molecular dynamics simulations of Couette and Poiseuille flows of…

Soft Condensed Matter · Physics 2009-11-11 Joel Koplik , Jayanth R. Banavar

We discuss a methodology that could be gainfully exploited using easily measurable experimental quantities to ascertain if the ``no-slip" boundary condition is appropriate for the flows of fluids past a solid boundary.

Fluid Dynamics · Physics 2023-07-04 Josef Málek , Kumbakonam R. Rajagopal

A new lattice Boltzmann (LB) model is introduced, based on a regularization of the pre-collision distribution functions in terms of the local density, velocity, and momentum flux tensor. The model dramatically improves the precision and…

Fluid Dynamics · Physics 2007-05-23 Jonas Latt , Bastien Chopard

While the assumption of the ``no-slip" condition at a solid boundary is unquestioningly applied to study the flow characteristics of the Navier-Stokes fluid, there was considerable debate amongst the early pioneers of fluid mechanics, Du…

Fluid Dynamics · Physics 2023-10-31 Josef Málek , Kumbakonam R. Rajagopal

In a previous work, we have proposed a method for the analysis of the bounce back boundary condition with the Taylor expansion method in the linear case. In this work two new schemes of modified bounce back are proposed. The first one is…

Numerical Analysis · Mathematics 2019-12-24 François Dubois , Pierre Lallemand , Mohamed Mahdi Tekitek

This paper proposes an improved lattice Boltzmann scheme for incompressible axisymmetric flows. The scheme has the following features. First, it is still within the framework of the standard lattice Boltzmann method using the…

Computational Physics · Physics 2010-06-07 Q. Li , Y. L. He , G. H. Tang , W. Q. Tao

In this study, we propose an alternative way to simulate particle suspensions using the lattice Boltzmann method. The main idea is to impose the non-slip boundary condition in the lattice sites located on the particle boundaries. The focus…

Computational Physics · Physics 2011-05-17 Luís Orlando Emerich dos Santos , Paulo Cesar Philippi

In the first part of this study, we compared the performances of two categories of no-slip boundary treatments, i.e., the interpolated bounce-back schemes and the immersed boundary methods in a series of laminar flow simulations within the…

Computational Physics · Physics 2019-08-15 Cheng Peng , Orlando M. Ayala , Jorge César Brändle de Motta , Lian-Ping Wang

The no-slip boundary condition at a solid-liquid interface is at the center of our understanding of fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. We…

Soft Condensed Matter · Physics 2008-10-12 Eric Lauga , Michael P. Brenner , Howard A. Stone

Motivated by experimental evidence of violations of the no-slip boundary condition for liquid flow in micron-scale geometries, we propose a simple, complementary experimental technique that has certain advantages over previous studies.…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga , Todd M. Squires

An algorithm is proposed to implement unsteady jump boundary conditions, presenting discontinuity in physical quantities, within the lattice Boltzmann method (LBM). This is useful to tackle problems involving mass or heat transfer through…

Computational Physics · Physics 2018-11-06 Badr Kaoui

The lattice Boltzmann method with enhanced collisions and rest particles is used to calculate the flow in a two-dimensional lid-driven cavity. The abilitity of this method to compute the velocity and the pressure of an incompressible fluid…

comp-gas · Physics 2009-10-22 W. Miller

Numerical analysis of unconfined flow over an obstacle has always been challenging in computational fluid dynamics due to the truncation of the computational domain while replicating the real-life flows and the application of the boundary…

Fluid Dynamics · Physics 2026-05-05 Vemu Sahiti , PS Gurugubelli , VK Surasani

In this contribution we review recent efforts on investigations of the effect of (apparent) boundary slip by utilizing lattice Boltzmann simulations. We demonstrate the applicability of the method to treat fundamental questions in…

Fluid Dynamics · Physics 2009-10-20 Jens Harting , Christian Kunert , Jari Hyväluoma

We introduce a lattice Boltzmann for simulating an immiscible binary fluid mixture. Our collision rules are derived from a macroscopic thermodynamic description of the fluid in a way motivated by the Cahn-Hilliard approach to…

comp-gas · Physics 2009-10-28 Enzo Orlandini , Michael R. Swift , J. M. Yeomans

We derive an effective boundary condition for granular flow taking into account the effect of the heterogeneity of the force network on sliding friction dynamics. This yields an intermediate boundary condition which lies in the limit…

Soft Condensed Matter · Physics 2009-11-13 Riccardo Artoni , Andrea Santomaso , Paolo Canu