279 citations · 512 across the 24 of their papers we have counts for
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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…
Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction
Arpit Babbar, Sudarshan Kumar Kenettinkara, Praveen Chandrashekar
Lax-Wendroff Flux Reconstruction (LWFR) is a single-stage, high order, quadrature free method for solving hyperbolic conservation laws. We develop a subcell based limiter by blendi…
Multidimensional Generalized Riemann Problem Solver for Maxwell's Equations
Arijit Hazra, Dinshaw S. Balsara, Praveen Chandrashekar +1
Approximate multidimensional Riemann solvers are essential building blocks in designing globally constraint-preserving finite volume time domain (FVTD) and discontinuous Galerkin t…
High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations
Deepak Bhoriya, Harish Kumar, Praveen Chandrashekar
In this article, we propose high-order finite-difference entropy stable schemes for the two-fluid relativistic plasma flow equations. This is achieved by exploiting the structure o…
Lax-Wendroff flux reconstruction method for hyperbolic conservation laws
Arpit Babbar, Sudarshan Kumar Kenettinkara, Praveen Chandrashekar
The Lax-Wendroff method is a single step method for evolving time dependent solutions governed by partial differential equations, in contrast to Runge- Kutta methods that need mult…
Exact solution for Riemann problems of the shear shallow water model
Boniface Nkonga, Praveen Chandrashekar
The shear shallow water model is a higher order model for shallow flows which includes some shear effects that are neglected in the classical shallow models. The model is a non-con…
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…
High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws
Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg
We introduce a general framework for the construction of well-balanced finite volume methods for hyperbolic balance laws. We use the phrase well-balancing in a broader sense, since…
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…
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…
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations
Praveen Chandrashekar
Centered numerical fluxes can be constructed for compressible Euler equations which preserve kinetic energy in the semi-discrete finite volume scheme. The essential feature is that…
Discontinuous Galerkin method for Navier-Stokes equations using kinetic flux vector splitting
Praveen Chandrashekar
Kinetic schemes for compressible flow of gases are constructed by exploiting the connection between Boltzmann equation and the Navier-Stokes equations. This connection allows us to…
Vertex-centroid finite volume scheme on tetrahedral grids for conservation laws
Praveen Chandrashekar, Ashish Garg
Vertex-centroid schemes are cell-centered finite volume schemes for conservation laws which make use of vertex values to construct high resolution schemes. The vertex values must b…