1 citations · 1 across the 5 of their papers we have counts for
5 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…
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…
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…