3 papers
math.NA2024
An Energy Stable and Well-balanced Scheme for the Ripa System
K. R. Arun, Rahuldev Ghorai
We design and analyse an energy stable, structure preserving and well-balanced scheme for the Ripa system of shallow water equations. The energy stability of the numerical solution…
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.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…