493 research outputs found
Anisotropic imbibition on surfaces patterned with polygonal posts
We present and interpret lattice Boltzmann simulations of thick films
spreading on surfaces patterned with polygonal posts. We show that the
mechanism of pinning and depinning differs with the direction of advance, and
demonstrate that this leads to anisotropic spreading within a certain range of
material contact angles.Comment: DSFD Proceedings 201
Nanoflows through disordered media: a joint Lattice Boltzmann and Molecular Dynamics investigation
We investigate nanoflows through dilute disordered media by means of joint
lattice Boltzmann (LB) and molecular dynamics (MD) simulations -- when the size
of the obstacles is comparable to the size of the flowing particles -- for
randomly located spheres and for a correlated particle-gel. In both cases at
sufficiently low solid fraction, , LB and MD provide similar values
of the permeability. However, for , MD shows that molecular size
effects lead to a decrease of the permeability, as compared to the
Navier-Stokes predictions. For gels, the simulations highlights a surplus of
permeability, which can be accommodated within a rescaling of the effective
radius of the gel monomers.Comment: 4 pages, 4 figure
Three-dimensional central-moments-based lattice Boltzmann method with external forcing: A consistent, concise and universal formulation
The cascaded or central-moments-based lattice Boltzmann method (CM-LBM) is a
robust alternative to the more conventional BGK-LBM for the simulation of
high-Reynolds number flows. Unfortunately, its original formulation makes its
extension to a broader range of physics quite difficult. To tackle this issue,
a recent work [A. De Rosis, Phys. Rev. E 95, 013310 (2017)] proposed a more
generic way to derive concise and efficient three-dimensional CM-LBMs. Knowing
the original model also relies on central moments that are derived in an adhoc
manner, i.e., by mimicking those of the Maxwell-Boltzmann distribution to
ensure their Galilean invariance a posteriori, a very recent effort [A. De
Rosis and K. H. Luo, Phys. Rev. E 99, 013301 (2019)] was proposed to further
generalize their derivation. The latter has shown that one could derive
Galilean invariant CMs in a systematic and a priori manner by taking into
account high-order Hermite polynomials in the derivation of the discrete
equilibrium state. Combining these two approaches, a compact and mathematically
sound formulation of the CM-LBM with external forcing is proposed. More
specifically, the proposed formalism fully takes advantage of the D3Q27
discretization by relying on the corresponding set of 27 Hermite polynomials
(up to the sixth order) for the derivation of both the discrete equilibrium
state and the forcing term. The present methodology is more consistent than
previous approaches, as it properly explains how to derive Galilean invariant
CMs of the forcing term in an a priori manner. Furthermore, while keeping the
numerical properties of the original CM-LBM, the present work leads to a
compact and simple algorithm, representing a universal methodology based on CMs
and external forcing within the lattice Boltzmann framework.Comment: Published in Phys. Fluids as Editor's Pic
Roughness induced boundary slip in microchannel flows
Surface roughness becomes relevant if typical length scales of the system are
comparable to the scale of the variations as it is the case in microfluidic
setups. Here, an apparent boundary slip is often detected which can have its
origin in the assumption of perfectly smooth boundaries. We investigate the
problem by means of lattice Boltzmann (LB) simulations and introduce an
``effective no-slip plane'' at an intermediate position between peaks and
valleys of the surface. Our simulations show good agreement with analytical
results for sinusoidal boundaries, but can be extended to arbitrary geometries
and experimentally obtained surface data. We find that the detected apparent
slip is independent of the detailed boundary shape, but only given by the
distribution of surface heights. Further, we show that the slip diverges as the
amplitude of the roughness increases.Comment: 4 pages, 6 figure
Simulation of fluid flow in hydrophobic rough microchannels
Surface effects become important in microfluidic setups because the surface
to volume ratio becomes large. In such setups the surface roughness is not any
longer small compared to the length scale of the system and the wetting
properties of the wall have an important influence on the flow. However, the
knowledge about the interplay of surface roughness and hydrophobic
fluid-surface interaction is still very limited because these properties cannot
be decoupled easily in experiments.
We investigate the problem by means of lattice Boltzmann (LB) simulations of
rough microchannels with a tunable fluid-wall interaction. We introduce an
``effective no-slip plane'' at an intermediate position between peaks and
valleys of the surface and observe how the position of the wall may change due
to surface roughness and hydrophobic interactions.
We find that the position of the effective wall, in the case of a Gaussian
distributed roughness depends linearly on the width of the distribution.
Further we are able to show that roughness creates a non-linear effect on the
slip length for hydrophobic boundaries.Comment: 10 pages, 5 figure
Excised acoustic black holes: the scattering problem in the time domain
The scattering process of a dynamic perturbation impinging on a draining-tub
model of an acoustic black hole is numerically solved in the time domain.
Analogies with real black holes of General Relativity are explored by using
recently developed mathematical tools involving finite elements methods,
excision techniques, and constrained evolution schemes for strongly hyperbolic
systems. In particular it is shown that superradiant scattering of a
quasi-monochromatic wavepacket can produce strong amplification of the signal,
offering the possibility of a significant extraction of rotational energy at
suitable values of the angular frequency of the vortex and of the central
frequency of the wavepacket. The results show that theoretical tools recently
developed for gravitational waves can be brought to fruition in the study of
other problems in which strong anisotropies are present.Comment: 8 pages, 9 figure
A lattice Boltzmann formulation to the analysis of radiative heat transfer problems in a participating medium
Lattice Boltzmann scheme for relativistic fluids
A Lattice Boltzmann formulation for relativistic fluids is presented and
numerically verified through quantitative comparison with recent hydrodynamic
simulations of relativistic shock-wave propagation in viscous quark-gluon
plasmas. This formulation opens up the possibility of exporting the main
advantages of Lattice Boltzmann methods to the relativistic context, which
seems particularly useful for the simulation of relativistic fluids in
complicated geometries.Comment: Submitted to PR
Lattice Boltzmann simulations of apparent slip in hydrophobic microchannels
Various experiments have found a boundary slip in hydrophobic microchannel
flows, but a consistent understanding of the results is still lacking. While
Molecular Dynamics (MD) simulations cannot reach the low shear rates and large
system sizes of the experiments, it is often impossible to resolve the needed
details with macroscopic approaches. We model the interaction between
hydrophobic channel walls and a fluid by means of a multi-phase lattice
Boltzmann model. Our mesoscopic approach overcomes the limitations of MD
simulations and can reach the small flow velocities of known experiments. We
reproduce results from experiments at small Knudsen numbers and other
simulations, namely an increase of slip with increasing liquid-solid
interactions, the slip being independent of the flow velocity, and a decreasing
slip with increasing bulk pressure. Within our model we develop a semi-analytic
approximation of the dependence of the slip on the pressure.Comment: 7 pages, 4 figure
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