@Article{AAMM-15-814,
author = {Li , Shujie and Ju , Lili},
title = {Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2023},
volume = {15},
number = {3},
pages = {814--830},
abstract = {<p style="text-align: justify;">A unified solution framework is proposed for efficiently solving conjugate
fluid and solid heat transfer problems. The unified solution is solely governed by the
compressible Navier-Stokes (N-S) equations in both fluid and solid domains. Such
method not only provides the computational capability for solid heat transfer simulations with existing successful N-S flow solvers, but also can relax time-stepping restrictions often imposed by the interface conditions for conjugate fluid and solid heat
transfer. This paper serves as Part I of the proposed unified solution framework and
addresses the handling of solid heat conduction with the nondimensional N-S equations. Specially, a parallel, adaptive high-order discontinuous Galerkin unified solver
has been developed and applied to solve solid heat transfer problems under various
boundary conditions.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0359},
url = {http://global-sci.org/intro/article_detail/aamm/21451.html}
}