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math.NA2022
Numerical challenges in the simulation of 1D bounded low-temperature plasmas with charge separation in various collisional regimes
Louis Reboul, Marc Massot, Alejandro Alvarez Laguna
We study a 1D geometry of a plasma confined between two conducting floating walls with applications to laboratory plasmas. These plasmas are characterized by a quasi-neutral bulk t…
math.NA2022
Second-order uniformly asymptotic-preserving space-time-ImEx schemes for hyperbolic balance laws with stiff relaxation
Louis Reboul, Teddy Pichard, Marc Massot
We consider hyperbolic systems of conservation laws with relaxation source terms leading to a diffusive asymptotic limit under a parabolic scaling. We introduce a new class of seco…