5 papers
Selection criteria for the compressible Euler equations: numerical study
Megala Anandan, Bahulayan Chalil Aravind, Mária Lukáčová-Medvid'ová +5
We numerically investigate selection criteria for dissipative weak solutions of the compressible Euler equations. Using the Kelvin-Helmholtz problem as a benchmark, we compare four…
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…
Provably fully discrete energy-stable and asymptotic-preserving scheme for barotropic Euler equations
Megala Anandan, Mária LukáÄová-Medvid'ová
We develop structure-preserving finite volume schemes for the barotropic Euler equations in the low Mach number regime. Our primary focus lies in ensuring both the asymptotic-prese…
An asymptotic preserving scheme satisfying entropy stability for the barotropic Euler system
Megala Anandan, Mária LukáÄová-Medvid'ová, S. V. Raghurama Rao
In this paper we study structure-preserving numerical methods for low Mach number barotropic Euler equations. Besides their asymptotic preserving properties that are crucial in ord…
Uniformly higher order accurate schemes for dynamics of charged particles under fast oscillating magnetic fields
Megala Anandan, Benjamin Boutin, Nicolas Crouseilles
This work deals with the numerical approximation of plasmas which are confined by the effect of a fast oscillating magnetic field (see \cite{Bostan2012}) in the Vlasov model. The p…