@Article{CiCP-20-1210,
author = {},
title = {An Efficient Immersed Boundary-Lattice Boltzmann Method for the Simulation of Thermal Flow Problems},
journal = {Communications in Computational Physics},
year = {2018},
volume = {20},
number = {5},
pages = {1210--1257},
abstract = {<p style="text-align: justify;">In this paper, a diffuse-interface immersed boundary method (IBM) is proposed
to treat three different thermal boundary conditions (Dirichlet, Neumann, Robin)
in thermal flow problems. The novel IBM is implemented combining with the lattice
Boltzmann method (LBM). The present algorithm enforces the three types of thermal
boundary conditions at the boundary points. Concretely speaking, the IBM for the
Dirichlet boundary condition is implemented using an iterative method, and its main
feature is to accurately satisfy the given temperature on the boundary. The Neumann
and Robin boundary conditions are implemented in IBM by distributing the jump of
the heat flux on the boundary to surrounding Eulerian points, and the jump is obtained
by applying the jump interface conditions in the normal and tangential directions. A
simple analysis of the computational accuracy of IBM is developed. The analysis indicates
that the Taylor-Green vortices problem which was used in many previous studies
is not an appropriate accuracy test example. The capacity of the present thermal immersed
boundary method is validated using four numerical experiments: (1) Natural
convection in a cavity with a circular cylinder in the center; (2) Flows over a heated
cylinder; (3) Natural convection in a concentric horizontal cylindrical annulus; (4) Sedimentation
of a single isothermal cold particle in a vertical channel. The numerical
results show good agreements with the data in the previous literatures.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.090815.170316a},
url = {http://global-sci.org/intro/article_detail/cicp/11188.html}
}