8 papers
Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
Marco Artiano, Hendrik Ranocha, Saurav Samantaray
We consider the compressible Euler system with anelastic scaling, modeling isentropic flows under the influence of gravity. In the zero-Mach-number limit, the solution of the compr…
High order Asymptotic Preserving penalized numerical schemes for the Euler-Poisson system in the quasi-neutral limit
Nicolas Crouseilles, Giacomo Dimarco, Saurav Samantaray
In this work, we focus on the development of high-order Implicit-Explicit (IMEX) finite volume numerical methods for plasmas in quasineutral regimes. At large temporal and spatial…
Asymptotic Preserving Linearly Implicit Additive IMEX-RK Finite Volume Schemes for Low Mach Number Isentropic Euler Equations
Saurav Samantaray
We consider the compressible Euler equations of gas dynamics with isentropic equation of state. Standard numerical schemes for the Euler equations suffer from stability and accurac…
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…
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…