TY - JOUR
T1 - Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction
AU - Li , Shujie
AU - Ju , Lili
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 814
EP - 830
PY - 2023
DA - 2023/02
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2021-0359
UR - https://global-sci.org/intro/article_detail/aamm/21451.html
KW - Conjugate heat transfer, solid heat conduction, compressible Navier-Stokes, exponential time integration, discontinuous Galerkin.
AB - <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>