Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Arun, K. R."'
Autor:
Arun, K. R., Ghorai, Rahuldev
We design and analyse an energy stable, structure preserving and well-balanced scheme for the Ripa system of shallow water equations. The energy stability of the numerical solutions is achieved by introducing appropriate stabilisation terms in the di
Externí odkaz:
http://arxiv.org/abs/2410.20732
Autor:
Arun, K. R., Ghorai, R.
In this paper, we study an asymptotic preserving (AP), energy stable and positivity preserving semi-implicit finite volume scheme for the Euler-Poisson-Boltzmann (EPB) system in the quasineutral limit. The key to energy stability is the addition of a
Externí odkaz:
http://arxiv.org/abs/2408.08029
In this work, we design and analyze an asymptotic preserving (AP), semi-implicit finite volume scheme for the scaled compressible isentropic Euler system with a singular pressure law known as the congestion pressure law. The congestion pressure law i
Externí odkaz:
http://arxiv.org/abs/2406.14168
We propose and analyze a new asymptotic preserving (AP) finite volume scheme for the multidimensional compressible barotropic Euler equations to simulate low Mach number flows. The proposed scheme uses a stabilized upwind numerical flux, with the sta
Externí odkaz:
http://arxiv.org/abs/2405.05685
Autor:
Arun, K. R., Kar, Mainak
We design and analyse an energy stable, structure preserving, well-balanced and asymptotic preserving (AP) scheme for the barotropic Euler system with gravity in the anelastic limit. The key to energy stability is the introduction of appropriate velo
Externí odkaz:
http://arxiv.org/abs/2405.00559
An asymptotic preserving and energy stable scheme for the Euler-Poisson system under the quasineutral scaling is designed and analysed. Correction terms are introduced in the convective fluxes and the electrostatic potential, which lead to the dissip
Externí odkaz:
http://arxiv.org/abs/2307.11416
Autor:
Arun, K. R., Krishnamurthy, Amogh
A semi-implicit in time, entropy stable finite volume scheme for the compressible barotropic Euler system is designed and analyzed and its weak convergence to a dissipative measure-valued (DMV) solution [E. Feireisl et al., Dissipative measure-valued
Externí odkaz:
http://arxiv.org/abs/2306.10740
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. As the quasineutral limit is singular for the governing equations, the
Externí odkaz:
http://arxiv.org/abs/2209.09477
An asymptotic preserving and energy stable scheme for the barotropic Euler system under the low Mach number scaling is designed and analysed. A velocity shift proportional to the pressure gradient is introduced in the convective fluxes, which leads t
Externí odkaz:
http://arxiv.org/abs/2206.06063
Autor:
Arun, K. R., Prasad, Phoolan
In a wide range of physical phenomena, we find propagating surfaces {\Omega}t which need mathematical treatment. In this article, we review the theory of the system of kinematical conservation laws (KCL), which govern the evolution of these surfaces
Externí odkaz:
http://arxiv.org/abs/2203.06857