3 papers
math.NA2024
An Energy Stable Well-balanced Scheme for the Barotropic Euler System with Gravity under the Anelastic Scaling
K. R. Arun, Mainak Kar
We design and analyse an energy stable, structure preserving, well-balanced and asymptotic preserving (AP) scheme for the barotropic Euler system with gravity in the anelastic limi…
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…
math.NA2022
An Asymptotic Preserving and Energy Stable Scheme for the Barotropic Euler System in the Incompressible Limit
K. R. Arun, Rahuldev Ghorai, Mainak Kar
An asymptotic preserving and energy stable scheme for the barotropic Euler system under the low Mach number scaling is designed and analysed. A velocity shift proportional to the p…