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Volume 31, Issue 1
A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics

R. Chauvin, S. Guisset, B. Manach-Perennou & L. Martaud

DOI: 10.4208/cicp.OA-2021-0059

Commun. Comput. Phys., 31 (2022), pp. 293-330.

Published online: 2021-12

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  • Abstract

A positivity-preserving, conservative and entropic numerical scheme is presented for the three-temperature grey diffusion radiation hydrodynamics model. More precisely, the dissipation matrices of the colocalized semi-Lagrangian scheme are defined in order to enforce the entropy production on each species (electron or ion) proportionally to its mass as prescribed in [34]. A reformulation of the model is then considered to enable the derivation of a robust convex combination based scheme. This yields the positivity-preserving property at each sub-iteration of the algorithm while the total energy conservation is reached at convergence. Numerous pure hydrodynamics and radiation hydrodynamics test cases are carried out to assess the accuracy of the method. The question of the stability of the scheme is also addressed. It is observed that the present numerical method is particularly robust.

  • Keywords

Colocalized Lagrangian scheme, radiation hydrodynamics, grey diffusion, discrete entropy production, plasma physics simulations.

  • AMS Subject Headings

65M12, 35Q35, 82D10, 82A25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

remi.chauvin@cea.fr (R. Chauvin)

sebastien.guisset@cea.fr (S. Guisset)

bastien.manach-perennou@cea.fr (B. Manach-Perennou)

ludovic.martaud@cea.fr (L. Martaud)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-31-293, author = {Chauvin , R.Guisset , S.Manach-Perennou , B. and Martaud , L.}, title = {A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics}, journal = {Communications in Computational Physics}, year = {2021}, volume = {31}, number = {1}, pages = {293--330}, abstract = {

A positivity-preserving, conservative and entropic numerical scheme is presented for the three-temperature grey diffusion radiation hydrodynamics model. More precisely, the dissipation matrices of the colocalized semi-Lagrangian scheme are defined in order to enforce the entropy production on each species (electron or ion) proportionally to its mass as prescribed in [34]. A reformulation of the model is then considered to enable the derivation of a robust convex combination based scheme. This yields the positivity-preserving property at each sub-iteration of the algorithm while the total energy conservation is reached at convergence. Numerous pure hydrodynamics and radiation hydrodynamics test cases are carried out to assess the accuracy of the method. The question of the stability of the scheme is also addressed. It is observed that the present numerical method is particularly robust.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2021-0059}, url = {http://global-sci.org/intro/article_detail/cicp/20025.html} }
TY - JOUR T1 - A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics AU - Chauvin , R. AU - Guisset , S. AU - Manach-Perennou , B. AU - Martaud , L. JO - Communications in Computational Physics VL - 1 SP - 293 EP - 330 PY - 2021 DA - 2021/12 SN - 31 DO - http://doi.org/10.4208/cicp.OA-2021-0059 UR - https://global-sci.org/intro/article_detail/cicp/20025.html KW - Colocalized Lagrangian scheme, radiation hydrodynamics, grey diffusion, discrete entropy production, plasma physics simulations. AB -

A positivity-preserving, conservative and entropic numerical scheme is presented for the three-temperature grey diffusion radiation hydrodynamics model. More precisely, the dissipation matrices of the colocalized semi-Lagrangian scheme are defined in order to enforce the entropy production on each species (electron or ion) proportionally to its mass as prescribed in [34]. A reformulation of the model is then considered to enable the derivation of a robust convex combination based scheme. This yields the positivity-preserving property at each sub-iteration of the algorithm while the total energy conservation is reached at convergence. Numerous pure hydrodynamics and radiation hydrodynamics test cases are carried out to assess the accuracy of the method. The question of the stability of the scheme is also addressed. It is observed that the present numerical method is particularly robust.

R. Chauvin, S. Guisset, B. Manach-Perennou & L. Martaud. (2021). A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics. Communications in Computational Physics. 31 (1). 293-330. doi:10.4208/cicp.OA-2021-0059
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