The distribution of “time of flight” in three dimensional stationary chaotic advectionPhysics of Fluids - Tập 27 Số 4 - 2015
Florence Raynal, Philippe Carrière
The distributions of “time of flight” (time spent by a single fluid particle
between two crossings of the Poincaré section) are investigated for five
different three dimensional stationary chaotic mixers. Above all, we study the
large tails of those distributions and show that mainly two types of behaviors
are encountered. In the case of slipping walls, as expected, we obtain an
exponential decay,... hiện toàn bộ
On a three-dimensional implementation of the baker’s transformationPhysics of Fluids - Tập 19 Số 11 - 2007
Philippe Carrière
A three-dimensional, steady flow configuration intended to mimic the baker’s map
is studied by means of numerical simulation. The Poincaré sections computed from
a finite element solution of the velocity field show that the behavior is
dominated by chaotic advection. The value obtained for the Lyapunov exponent is
very close to the theoretical value of ln2 predicted by the baker’s map.
A simplified axisymmetric lattice Boltzmann method for incompressible swirling and rotating flowsPhysics of Fluids - Tập 31 Số 2 - 2019
Zhen Chen, C. Shu, Liangqi Zhang
A simplified axisymmetric lattice Boltzmann method (SALBM) is developed in this
paper for effective simulation of incompressible swirling and rotating flows.
This model explores an alternative approach of reconstructing an axisymmetric
model within the lattice Boltzmann (LB) framework. Essentially, SALBM
reconstructs solutions to the macroscopic governing equations recovered from the
axisymmetric ... hiện toàn bộ
Numerical investigation of magnetic multiphase flows by the fractional-step-based multiphase lattice Boltzmann methodPhysics of Fluids - Tập 32 Số 8 - 2020
Xiang Li, Zhi-Qiang Dong, Peng Yu, Xiaodong Niu, Lian‐Ping Wang, Decai Li, Hiroshi Yamaguchi
In the present study, a fractional-step-based multiphase lattice Boltzmann (LB)
method coupled with a solution of a magnetic field evolution is developed to
predict the interface behavior in magnetic multiphase flows. The incompressible
Navier–Stokes equations are utilized for the flow field, while the Cahn–Hilliard
equation is adopted to track the interface, and these governing equations are
solv... hiện toàn bộ
A consistent hydrodynamic boundary condition for the lattice Boltzmann methodPhysics of Fluids - Tập 7 Số 1 - Trang 203-209 - 1995
David R. Noble, Shiyi Chen, John G. Georgiadis, Richard O. Buckius
A hydrodynamic boundary condition is developed to replace the heuristic
bounce-back boundary condition used in the majority of lattice Boltzmann
simulations. This boundary condition is applied to the two-dimensional, steady
flow of an incompressible fluid between two parallel plates. Poiseuille flow
with stationary plates, and a constant pressure gradient is simulated to machine
accuracy over the ... hiện toàn bộ
Flow pattern and heat transfer rate in Rayleigh–Bénard convectionPhysics of Fluids - Tập 16 Số 4 - Trang 972-978 - 2004
Tadashi Watanabe
The three-dimensional Rayleigh–Bénard convection is simulated numerically using
the lattice Boltzmann method. Flow patterns are observed and the heat transfer
rate is estimated in terms of the Nusselt number. The dependence of the Nusselt
number on the Rayleigh number is shown to agree well with that obtained by the
two-dimensional calculations of the Navier–Stokes equations. It is shown that
seve... hiện toàn bộ
Lattice Boltzmann methods for modeling microscale flow in fibrous porous mediaPhysics of Fluids - Tập 9 Số 9 - Trang 2468-2474 - 1997
Michael Spaid, Frederick R. Phelan
A lattice Boltzmann description of fluid flow in heterogeneous porous media is
presented which is intended for modeling flow processes which occur in liquid
composite molding applications. The lattice Boltzmann method is equivalent to
solving a hybrid method of the Stokes and Brinkman equations, with the Brinkman
equation being implemented to model flow through porous structures, while the
Stokes ... hiện toàn bộ
Unified simplified multiphase lattice Boltzmann method for ferrofluid flows and its applicationPhysics of Fluids - Tập 32 Số 9 - 2020
Qiaozhong Li, Zhiliang Lu, Di Zhou, Xiaodong Niu, Tong‐Qin Guo, Bing‐Chen Du
A unified simplified multiphase lattice Boltzmann method (USMLBM) is constructed
in this work for simulating complex multiphase ferrofluid flows with large
density and viscosity ratios. In USMLBM, the Navier–Stokes equations, the
Poisson equation of the magnetic potential, and the phase-field equation are
utilized as the ferrohydrodynamics behavior modeling and interface tracking
algorithm. Soluti... hiện toàn bộ