1 citations · 1 across the 17 of their papers we have counts for
17 papers
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…
Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions
K. R. Arun, Amogh Krishnamurthy, Mária Lukáčová-Medvid'ová
We propose and analyze a new asymptotic preserving (AP) finite volume scheme for the multidimensional compressible barotropic Euler equations to simulate low Mach number flows. The…
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…
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…
A semi-implicit finite volume scheme for dissipative measure-valued solutions to the barotropic Euler system
K. R. Arun, Amogh Krishnamurthy
A semi-implicit in time, entropy stable finite volume scheme for the compressible barotropic Euler system is designed and analyzed and its weak convergence to a dissipative measure…
High Order Asymptotic Preserving and Classical Semi-implicit RK Schemes for the Euler-Poisson System in the Quasineutral Limit
K. R. Arun, N. Crouseilles, S. Samantaray
In this paper, the design and analysis of high order accurate IMEX finite volume schemes for the compressible Euler-Poisson (EP) equations in the quasineutral limit is presented. A…
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…
A Unified Asymptotic Preserving and Well-balanced Scheme for the Euler System with Multiscale Relaxation
K. R. Arun, M. Krishnan, S. Samantaray
The design and analysis of a unified asymptotic preserving (AP) and well-balanced scheme for the Euler Equations with gravitational and frictional source terms is presented in this…
Analysis of an Asymptotic Preserving Low Mach Number Accurate IMEX-RK Scheme for the Wave Equation System
Arun K. R., Arnab J. Das Gupta, Saurav Samantaray
In this paper the analysis of an asymptotic preserving (AP) IMEX-RK finite volume scheme for the wave equation system in the zero Mach number limit is presented. The accuracy of a…
Asymptotic Preserving and Low Mach Number Accurate IMEX Finite Volume Schemes for the Isentropic Euler Equations
K. R. Arun, S. Samantaray
In this paper, the design and analysis of a class of second order accurate IMEX finite volume schemes for the compressible Euler equations in the zero Mach number limit is presente…
An Asymptotic Preserving Time Integrator for Low Mach Number Limits of the Euler Equations with Gravity
K. R. Arun, S. Samantaray
We consider two distinguished asymptotic limits of the Euler equations in a gravitational field, namely the incompressible and Boussinesq limits. Both these limits can be obtained…
A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics
Sebastian Noelle, Georgij Binev, K. R. Arun +2
We propose a low Mach number, Godunov-type finite volume scheme for the numerical solution of the compressible Euler equations of gas dynamics. The scheme combines Klein's non-stif…