1 citations · 2 across the 7 of their papers we have counts for
8 papers
Selection criteria for the compressible Euler equations: numerical study
Megala Anandan, Bahulayan Chalil Aravind, Mária Lukáčová-Medvid'ová +4
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 Lukáčová-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 Lukáčová-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…
On Lattice Boltzmann Methods based on vector-kinetic models for hyperbolic partial differential equations
Megala Anandan, S. V. Raghurama Rao
In this paper, we are concerned about the lattice Boltzmann methods (LBMs) based on vector-kinetic models for hyperbolic partial differential equations. In addition to usual lattic…
High order asymptotic preserving scheme for linear kinetic equations with diffusive scaling
Megala Anandan, Benjamin Boutin, Nicolas Crouseilles
In this work, high order asymptotic preserving schemes are constructed and analysed for kinetic equations under a diffusive scaling. The framework enables to consider different cas…
Entropy conserving/stable schemes for a vector-kinetic model of hyperbolic systems
Megala Anandan, S. V. Raghurama Rao
The moment of entropy equation for vector-BGK model results in the entropy equation for macroscopic model. However, this is usually not the case in numerical methods because the cu…