Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911433828073472 |
|---|---|
| author | Guermond, Jean-Luc Tovar, Eric J. |
| author_facet | Guermond, Jean-Luc Tovar, Eric J. |
| contents | In this work we introduce an implicit-explicit invariant-domain
preserving approximation of the nonequilibrium gray
radiation-hydrodynamics equations. A time and space approximation
of the system is proposed using a novel split of the equations
composed of three elementary subsystems, two hyperbolic and one
parabolic. The approximation thus realized is proved to be
consistent, conservative, invariant-domain preserving, and
first-order accurate. The proposed method is a stepping stone for
achieving higher-order accuracy in space and time in the forthcoming
second part of this work. The method is numerically illustrated and
shown to converge as advertised. This paper is dedicated to the memory
of Peter Lax. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08291 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I Guermond, Jean-Luc Tovar, Eric J. Numerical Analysis 35L65, 65M60, 65M12, 65N30 In this work we introduce an implicit-explicit invariant-domain preserving approximation of the nonequilibrium gray radiation-hydrodynamics equations. A time and space approximation of the system is proposed using a novel split of the equations composed of three elementary subsystems, two hyperbolic and one parabolic. The approximation thus realized is proved to be consistent, conservative, invariant-domain preserving, and first-order accurate. The proposed method is a stepping stone for achieving higher-order accuracy in space and time in the forthcoming second part of this work. The method is numerically illustrated and shown to converge as advertised. This paper is dedicated to the memory of Peter Lax. |
| title | Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I |
| topic | Numerical Analysis 35L65, 65M60, 65M12, 65N30 |
| url | https://arxiv.org/abs/2602.08291 |