3 papers
math.NA2024
An Asymptotic Preserving Scheme for the Euler-Poisson-Boltzmann System in the Quasineutral Limit
K. R. Arun, R. Ghorai
In this paper, we study an asymptotic preserving (AP), energy stable and positivity preserving semi-implicit finite volume scheme for the Euler-Poisson-Boltzmann (EPB) system in th…
math.NA2024
An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint
K. R. Arun, Amogh Krishnamurthy, Harihara Maharana
In this work, we design and analyze an asymptotic preserving (AP), semi-implicit finite volume scheme for the scaled compressible isentropic Euler system with a singular pressure l…
math.NA2023
An Asymptotic Preserving and Energy Stable Scheme for the Euler-Poisson System in the Quasineutral Limit
K. R. Arun, Rahuldev Ghorai, Mainak Kar
An asymptotic preserving and energy stable scheme for the Euler-Poisson system under the quasineutral scaling is designed and analysed. Correction terms are introduced in the conve…