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math.NA2025
Generalized UGK scheme in the diffusive
Julien Mathiaud, Luc Mieussens, Nicolas Crouseilles
The unified gas kinetic scheme (UGKS) was initially designed to address multiscale challenges in rarefied gas dynamics and then extended to radiative transfert theory, as described…
math.NA2025
An asymptotic preserving scheme for the M1model of non-local thermal transport for two-dimensional structured and unstructured meshes
Jean-Luc Feugeas, Julien Mathiaud, Luc Mieussens +1
The M1 moment model for electronic transport is commonly used to describe non-local thermal transport effects in laser-plasma simulations. In this article, we propose a new asympto…