10 papers · 1 filter
Active flux for ideal magnetohydrodynamics: A positivity-preserving scheme with the Godunov-Powell source term
Junming Duan, Praveen Chandrashekar, Christian Klingenberg
The Active Flux (AF) is a compact, high-order finite volume scheme that allows more flexibility by introducing additional point value degrees of freedom at cell interfaces. This pa…
A generalized Active Flux method of arbitrarily high order in two dimensions
Wasilij Barsukow, Praveen Chandrashekar, Christian Klingenberg +1
The Active Flux method can be seen as an extended finite volume method. The degrees of freedom of this method are cell averages, as in finite volume methods, and in addition shared…
On a linear stability issue of split form schemes for compressible flows
Vikram Singh, Praveen Chandrashekar
Split form schemes for Euler and Navier-Stokes equations are useful for computation of turbulent flows due to their better robustness. This is because they satisfy additional conse…
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…
High order discretely well-balanced methods for arbitrary hydrostatic atmospheres
Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar +1
We introduce novel high order well-balanced finite volume methods for the full compressible Euler system with gravity source term. They require no a priori knowledge of the hydrost…
Positivity-preserving finite difference WENO scheme for Ten-Moment equations with source term
Asha Kumari Meena, Rakesh Kumar, Praveen Chandrashekar
We develop a positivity-preserving finite difference WENO scheme for the Ten-Moment equations with body forces acting as a source in the momentum and energy equations. A positive f…