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Volume 38, Issue 1
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows

B. Manach-Pérennou, R. Chauvin, S. Guisset & J.-P. Perlat

DOI: 10.4208/cicp.OA-2024-0080

Commun. Comput. Phys., 38 (2025), pp. 1-36.

Published online: 2025-07

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  • 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.

  • Keywords

Numerical scheme, diffusion equation, multi-material flows, radiation hydrodynamics, plasma physics.

  • AMS Subject Headings

52B10, 65D18, 68U05, 68U07

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@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} }
TY - JOUR T1 - A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows AU - Manach-Pérennou , B. AU - Chauvin , R. AU - Guisset , S. AU - Perlat , J.-P. JO - Communications in Computational Physics VL - 1 SP - 1 EP - 36 PY - 2025 DA - 2025/07 SN - 38 DO - http://doi.org/10.4208/cicp.OA-2024-0080 UR - https://global-sci.org/intro/article_detail/cicp/24251.html KW - Numerical scheme, diffusion equation, multi-material flows, radiation hydrodynamics, plasma physics. AB -

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.

Manach-Pérennou , B.Chauvin , R.Guisset , S. and Perlat , J.-P.. (2025). A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows. Communications in Computational Physics. 38 (1). 1-36. doi:10.4208/cicp.OA-2024-0080
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