279 citations
- Tata Institute of Fundamental ResearchIN32 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Heidelberg Institute for Theoretical StudiesDE4 papers
- Laboratoire Jean-Alexandre DieudonnéFR4 papers
- University of WürzburgDE4 papers
- Heidelberg UniversityDE3 papers
- Indian Institute of Technology BombayIN3 papers
- International Centre for Theoretical SciencesIN3 papers
- Lund UniversitySE3 papers
- Université Côte d'AzurFR3 papers
- Indian Institute of Science BangaloreIN2 papers
- Indian Institute of Technology BhubaneswarIN2 papers
15 papers · 1 filter
Constraint preserving discontinuous Galerkin method for ideal compressible MHD on 2-D Cartesian grids
Praveen Chandrashekar, Rakesh Kumar
We propose a constraint preserving discontinuous Galerkin method for ideal compressible MHD in two dimensions and using Cartesian grids, which automatically maintains the global di…
A path conservative finite volume method for a shear shallow water model
Praveen Chandrashekar, Boniface Nkonga, Asha Kumari Meena +1
The shear shallow water model provides an approximation for shallow water flows by including the effect of vertical shear in the model. This model can be derived from the depth ave…
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…
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…
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…