Investigation of the effect of magnetic field on melting of solid gallium in a bottom-heated rectangular cavity using the lattice Boltzmann method

Y Feng, H Li, L Li, F Zhan - Numerical Heat Transfer, Part A …, 2016 - Taylor & Francis
ABSTRACT A numerical study is presented for two-dimensional convection melting of solid
gallium in a rectangular cavity. The bottom wall of the cavity is uniformly heated and a …

Two complementary lattice-Boltzmann-based analyses for nonlinear systems

H Otomo, BM Boghosian, F Dubois - Physica A: Statistical Mechanics and …, 2017 - Elsevier
Lattice Boltzmann models that asymptotically reproduce solutions of nonlinear systems are
derived by the Chapman–Enskog method and the analytic method based on recursive …

Efficient lattice Boltzmann models for the Kuramoto–Sivashinsky equation

H Otomo, BM Boghosian, F Dubois - Computers & Fluids, 2018 - Elsevier
In this work, we improve the accuracy and stability of the lattice Boltzmann model for the
Kuramoto–Sivashinsky equation proposed in [1]. This improvement is achieved by …

Analysis of combined mode heat transfer in a porous medium using the lattice Boltzmann method

SC Mishra, S Panigrahy, VJ Ghatage - Numerical Heat Transfer …, 2016 - Taylor & Francis
Application of the lattice Boltzmann method (LBM) in solving a combined mode conduction,
convection, and radiation heat transfer problem in a porous medium is extended …

[图书][B] Lattice-Boltzmann Models for High-Order Partial Differential Equations

H Otomo - 2019 - search.proquest.com
The lattice Boltzmann (LB) method is a characteristic kinetic-based method in the
computational fluid dynamics. Besides its successes in the ordinary flow during this several …