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Error analysis of an asymptotic-preserving, energy-stable finite volume method for barotropic Euler equations
Megala Anandan, K. R. Arun, Amogh Krishnamurthy +1
We propose and analyse an energy-stable and asymptotic-preserving finite volume scheme for the compressible Euler system. Using the relative energy framework, we establish rigorous…
A Convergent Structure-Preserving Scheme for Dissipative Solutions of the Rotating Shallow Water System
K. R. Arun, A. Krishnamurthy
We design and analyse a semi-implicit finite volume scheme for the two-dimensional rotating shallow water (RSW) equations that is energy stable, well-balanced (capable of preservin…
A Structure-Preserving Scheme for the Euler System with Potential Temperature Transport
K. R. Arun, Rahuldev Ghorai
We consider the compressible Euler equations with potential temperature transport, a system widely used in atmospheric modelling to describe adiabatic, inviscid flows. In the low M…
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…
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…
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…