@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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2021-0359}, url = {http://global-sci.org/intro/article_detail/aamm/21451.html} }