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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…
math.NA2019
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…