@Article{CiCP-38-1, author = {Manach-Pérennou , B.Chauvin , R.Guisset , S. and Perlat , J.-P.}, title = {A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows}, journal = {Communications in Computational Physics}, year = {2025}, volume = {38}, number = {1}, pages = {1--36}, abstract = {
This work is devoted to the numerical approximation of three-temperature multi-material hydrodynamics. Such systems are subject to stiff phenomena which require specific care during the discretization. In particular, the so-called discrete equation method is here applied to the radiation transport, in the optically-thick limit. This strategy is shown to be accurate in the presence of in-cell interfaces while being simpler than standard interface reconstruction techniques. It is then incorporated into a three-temperature multi-material scheme whose implicit temporal discretization is based on convex combinations. Stiff test cases eventually establish the scheme’s robustness.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2024-0080}, url = {http://global-sci.org/intro/article_detail/cicp/24251.html} }