The lattice Boltzmann method for mass transfer of miscible multicomponent mixtures: A review

RGC Lourenço, JR Friggo, PH Constantino… - Physics of …, 2024 - pubs.aip.org
Based on kinetic theory, the lattice Boltzmann method (LBM) is a versatile computational tool
extensively applied to simulate diverse problems. It has particularly advanced in addressing …

Physics-informed neural networks with periodic activation functions for solute transport in heterogeneous porous media

SA Faroughi, R Soltanmohammadi, P Datta… - Mathematics, 2023 - mdpi.com
Simulating solute transport in heterogeneous porous media poses computational
challenges due to the high-resolution meshing required for traditional solvers. To overcome …

Axisymmetric lattice Boltzmann method revised

JG Zhou - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
A reformulated lattice Boltzmann model is described for incompressible axisymmetric flows
with or without swirling. It is a further development and improvement on the author's …

Engineering performance and microscale structure of activated high titanium slag-soil-cement-bentonite (HTS-SCB) slurry backfill

K He, Y Deng, Z Cao, X Zhang - Construction and Building Materials, 2023 - Elsevier
An innovative soil-cement-bentonite (SCB) slurry composed of cement, clay soil, bentonite
and reactive high titanium slag (HTS) was synthesized to block the migration of …

Modeling of Ti-W solidification microstructures under additive manufacturing conditions

MR Rolchigo, MY Mendoza, P Samimi, DA Brice… - … Materials Transactions A, 2017 - Springer
Additive manufacturing (AM) processes have many benefits for the fabrication of alloy parts,
including the potential for greater microstructural control and targeted properties than …

Development of a lattice Boltzmann method for two‐layered shallow‐water flow

ML Rocca, C Adduce, V Lombardi… - … Methods in Fluids, 2012 - Wiley Online Library
In this paper the dynamics of a two‐layered liquid, made of two immiscible shallow‐layers of
different density, has been investigated within the framework of the lattice Boltzmann method …

Lattice Boltzmann method for the Saint–Venant equations

H Liu, H Wang, S Liu, C Hu, Y Ding, J Zhang - Journal of Hydrology, 2015 - Elsevier
Summary The Saint–Venant equations represent the hydrodynamic principles of unsteady
flows in open channel network through a set of non-linear partial differential equations. In …

Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method

R MohammadiArani, M Dehghan… - Engineering with …, 2024 - Springer
Different coupled systems for the shallow water equation, bed elevation, and suspended
load equation are proposed until this day. The main differences come from the physical …

Modelling solute transport in shallow water with the lattice Boltzmann method

Y Peng, JG Zhou, R Burrows - Computers & fluids, 2011 - Elsevier
The lattice Boltzmann method is used to investigate the solute transport in shallow water
flows. Shallow water equations are solved using the lattice Boltzmann equation on a D2Q9 …

Modeling of binary alloy solidification under conditions representative of additive manufacturing

MR Rolchigo, R LeSar - Computational Materials Science, 2018 - Elsevier
Understanding the interplay among process parameters, microstructure, and presence of
defects is critical to optimizing Additive Manufacturing (AM) routes for producing specialty …