10 papers
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…
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…
Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations
Jayesh Badwaik, Praveen Chandrashekar, Christian Klingenberg
We propose an explicit, single step discontinuous Galerkin (DG) method on moving grids using the arbitrary Lagrangian-Eulerian (ALE) approach for one dimensional Euler equations. T…