279 citations · 512 across the 24 of their papers we have counts for
6 papers · 1 filter
Globally constraint-preserving FR/DG scheme for Maxwell's equations at all orders
Arijit Hazra, Praveen Chandrashekar, Dinshaw S. Balsara
Computational electrodynamics (CED), the numerical solution of Maxwell's equations, plays an incredibly important role in several problems in science and engineering. High accuracy…
A global divergence conforming DG method for hyperbolic conservation laws with divergence constraint
Praveen Chandrashekar
We propose a globally divergence conforming discontinuous Galerkin (DG) method on Cartesian meshes for {\em curl-type hyperbolic conservation} laws based on directly evolving the f…
Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws
Rakesh Kumar, Praveen Chandrashekar
In the present work, we propose two new variants of fifth order finite difference WENO schemes of adaptive order. We compare our proposed schemes with other variants of WENO scheme…
Second order finite volume scheme for Euler equations with gravity which is well-balanced for general equations of state and grid systems
Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg +1
We develop a second order well-balanced finite volume scheme for compressible Euler equations with a gravitational source term. The well-balanced property holds for arbitrary hydro…
High-order Magnetohydrodynamics for Astrophysics with an Adaptive Mesh Refinement Discontinuous Galerkin Scheme
Thomas Guillet, Rüdiger Pakmor, Volker Springel +2
Modern astrophysical simulations aim to accurately model an ever-growing array of physical processes, including the interaction of fluids with magnetic fields, under increasingly s…
A second-order, discretely well-balanced finite volume scheme for Euler equations with gravity
Deepak Varma, Praveen Chandrashekar
We present a well-balanced, second order, Godunov-type finite volume scheme for compressible Euler equations with gravity. By construction, the scheme admits a discrete stationary…