3 papers
math.NA2021
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…
math.NA2019
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…
math.NA2019
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…