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An asymptotic preserving method for the linear transport equation on general meshes

Abstract : While many numerical methods for the linear transport equation are available in the literature in 1D or on Cartesian meshes, fewer works are dedicated to the resolution of this model on unstructured meshes. In the context of radiative hydrodynamics, we need a method capable to handle a wide range of radiation regimes going from freestreaming to diffusion and to be coupled with a Lagrangian hydrodynamics solver. In this paper we design a method based on the micro-macro paradigm and to the Discrete Ordinates (S N) angular discretization, which fulfills these requirements. It allows to choose the limit transport scheme and the limit diffusion scheme. It is compared on challenging test problems to a Discontinuous Finite Element (DFE) method.
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https://hal.archives-ouvertes.fr/hal-03293940
Contributor : Emmanuel Labourasse <>
Submitted on : Wednesday, July 21, 2021 - 12:56:52 PM
Last modification on : Saturday, July 24, 2021 - 3:44:57 AM

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  • HAL Id : hal-03293940, version 1

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Pierre Anguill, Patricia Cargo, Cedric Énaux, Philippe Hoch, Emmanuel Labourasse, et al.. An asymptotic preserving method for the linear transport equation on general meshes. 2021. ⟨hal-03293940⟩

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