6,267 research outputs found
A modified lattice Bhatnagar-Gross-Krook model for convection heat transfer in porous media
The lattice Bhatnagar-Gross-Krook (LBGK) model has become the most popular
one in the lattice Boltzmann method for simulating the convection heat transfer
in porous media. However, the LBGK model generally suffers from numerical
instability at low fluid viscosities and effective thermal diffusivities. In
this paper, a modified LBGK model is developed for incompressible thermal flows
in porous media at the representative elementary volume scale, in which the
shear rate and temperature gradient are incorporated into the equilibrium
distribution functions. With two additional parameters, the relaxation times in
the collision process can be fixed at a proper value invariable to the
viscosity and the effective thermal diffusivity. In addition, by constructing a
modified equilibrium distribution function and a source term in the evolution
equation of temperature field, the present model can recover the macroscopic
equations correctly through the Chapman-Enskog analysis, which is another key
point different from previous LBGK models. Several benchmark problems are
simulated to validate the present model with the proposed local computing
scheme for the shear rate and temperature gradient, and the numerical results
agree well with analytical solutions and/or those well-documented data in
previous studies. It is also shown that the present model and the computational
schemes for the gradient operators have a second-order accuracy in space, and
better numerical stability of the present modified LBGK model than previous
LBGK models is demonstrated.Comment: 38pages,50figure
Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows
Smoothed Particle Hydrodynamics (SPH) and Lattice Boltzmann Method (LBM) are
increasingly popular and attractive methods that propose efficient multiphase
formulations, each one with its own strengths and weaknesses. In this context,
when it comes to study a given multi-fluid problem, it is helpful to rely on a
quantitative comparison to decide which approach should be used and in which
context. In particular, the simulation of intermittent two-phase flows in pipes
such as slug flows is a complex problem involving moving and intersecting
interfaces for which both SPH and LBM could be considered. It is a problem of
interest in petroleum applications since the formation of slug flows that can
occur in submarine pipelines connecting the wells to the production facility
can cause undesired behaviors with hazardous consequences. In this work, we
compare SPH and LBM multiphase formulations where surface tension effects are
modeled respectively using the continuum surface force and the color gradient
approaches on a collection of standard test cases, and on the simulation of
intermittent flows in 2D. This paper aims to highlight the contributions and
limitations of SPH and LBM when applied to these problems. First, we compare
our implementations on static bubble problems with different density and
viscosity ratios. Then, we focus on gravity driven simulations of slug flows in
pipes for several Reynolds numbers. Finally, we conclude with simulations of
slug flows with inlet/outlet boundary conditions. According to the results
presented in this study, we confirm that the SPH approach is more robust and
versatile whereas the LBM formulation is more accurate and faster
Large-scale grid-enabled lattice-Boltzmann simulations of complex fluid flow in porous media and under shear
Well designed lattice-Boltzmann codes exploit the essentially embarrassingly
parallel features of the algorithm and so can be run with considerable
efficiency on modern supercomputers. Such scalable codes permit us to simulate
the behaviour of increasingly large quantities of complex condensed matter
systems. In the present paper, we present some preliminary results on the large
scale three-dimensional lattice-Boltzmann simulation of binary immiscible fluid
flows through a porous medium derived from digitised x-ray microtomographic
data of Bentheimer sandstone, and from the study of the same fluids under
shear. Simulations on such scales can benefit considerably from the use of
computational steering and we describe our implementation of steering within
the lattice-Boltzmann code, called LB3D, making use of the RealityGrid steering
library. Our large scale simulations benefit from the new concept of capability
computing, designed to prioritise the execution of big jobs on major
supercomputing resources. The advent of persistent computational grids promises
to provide an optimal environment in which to deploy these mesoscale simulation
methods, which can exploit the distributed nature of compute, visualisation and
storage resources to reach scientific results rapidly; we discuss our work on
the grid-enablement of lattice-Boltzmann methods in this context.Comment: 17 pages, 6 figures, accepted for publication in
Phil.Trans.R.Soc.Lond.
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