16 citations · 46 across the 18 of their papers we have counts for
18 papers
Efficient Hybrid WENO Schemes for Special Relativistic Hydrodynamics with Adaptive Characteristic Reconstruction
Rakesh Kumar, Biswarup Biswas, Asha Kumari Meena +1
Special relativistic hydrodynamics (SRHD) equations arise in the modeling of high-speed fluid flows encountered in astrophysical phenomena such as jets, supernova explosions, and g…
Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics
Chetan Singh, Harish Kumar
One-Fluid Two-Temperature Euler (OFTT-Euler) equations are used for modeling non-equilibrium hydrodynamics and form a system of nonlinear hyperbolic partial differential equations…
Admissible Lax-Wendroff Flux Reconstruction Method with Automatic Differentiation on Adaptive Curved Meshes for Relativistic Hydrodynamics
Sujoy Basak, Arpit Babbar, Harish Kumar +1
The relativistic hydrodynamics (RHD) equations can give rise to solutions which have shocks, contact discontinuities, and other sharp structures, which interact and evolve over tim…
Entropy stable numerical schemes for divergence diminishing Chew, Goldberger & Low equations for plasma flows
Chetan Singh, Harish Kumar, Deepak Bhoriya +1
Chew, Goldberger & Low (CGL) equations are a set of hyperbolic PDEs with non-conservative products used to model the plasma flows, when the assumption of local thermodynamic equili…
Physical Constraint Preserving Higher Order Finite Volume Schemes for Divergence-Free Astrophysical MHD and RMHD
Dinshaw S. Balsara, Deepak Bhoriya, Chetan Singh +3
Higher order finite volume schemes for magnetohydrodynamics (MHD) and relativistic magnetohydrodynamics (RMHD) are very valuable because they allow us to carry out astrophysical si…
Constraints Preserving Lax-Wendroff Flux Reconstruction for Relativistic Hydrodynamics with General Equations of State
Sujoy Basak, Arpit Babbar, Harish Kumar +1
In the realm of relativistic astrophysics, the ideal equation of state with a constant adiabatic index provides a poor approximation due to its inconsistency with relativistic kine…
Chew, Goldberger & Low Equations: Eigensystem Analysis and Applications to One-Dimensional Test Problems
Chetan Singh, Deepak Bhoriya, Anshu Yadav +2
Chew, Goldberger & Low (CGL) equations describe one of the simplest plasma flow models that allow anisotropic pressure, i.e., pressure is modeled using a symmetric tensor described…
Second order divergence constraint preserving schemes for two-fluid relativistic plasma flow equations
Jaya Agnihotri, Deepak Bhoriya, Harish Kumar +2
Two-fluid relativistic plasma flow equations combine the equations of relativistic hydrodynamics with Maxwell's equations for electromagnetic fields, which involve divergence const…
Second order divergence constraint preserving entropy stable finite difference schemes for ideal two-fluid plasma flow equations
Jaya Agnihotri, Deepak Bhoriya, Harish Kumar +2
Two-fluid plasma flow equations describe the flow of ions and electrons with different densities, velocities, and pressures. We consider the ideal plasma flow i.e. we ignore viscou…
Bound Preserving Lax-Wendroff Flux Reconstruction Method for Special Relativistic Hydrodynamics
Sujoy Basak, Arpit Babbar, Harish Kumar +1
Lax-Wendroff flux reconstruction (LWFR) schemes have high order of accuracy in both space and time despite having a single internal time step. Here, we design a Jacobian-free LWFR…
Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations
Chetan Singh, Anshu Yadav, Deepak Bhoriya +2
In this article, we consider the Chew, Goldberger \& Low (CGL) plasma flow equations, which is a set of nonlinear, non-conservative hyperbolic PDEs modelling anisotropic plasma flo…
Going Beyond the MHD Approximation: Physics-Based Numerical Solution of the CGL Equations
Deepak Bhoriya, Dinshaw S. Balsara, Vladimir Florinski +1
We present a new numerical model for solving the Chew-Goldberger-Low system of equations describing a bi-Maxwellian plasma in a magnetic field. Heliospheric and geospace environmen…
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products
Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu +1
Higher order finite difference Weighted Essentially Non-Oscillatory (WENO) schemes for conservation laws represent a technology that has been reasonably consolidated. They are extr…
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws
Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu +1
Higher order finite difference Weighted Essentially Non-Oscillatory (WENO) schemes for conservation laws are extremely popular because, for multidimensional problems, they offer hi…
Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations
Deepak Bhoriya, Biswarup Biswas, Harish Kumar +1
This article proposes entropy stable discontinuous Galerkin schemes (DG) for two-fluid relativistic plasma flow equations. These equations couple the flow of relativistic fluids vi…
Entropy stable schemes for the shear shallow water model Equations
Anshu Yadav, Deepak Bhoriya, Harish Kumar +1
The shear shallow water model is an extension of the classical shallow water model to include the effects of vertical shear. It is a system of six non-linear hyperbolic PDE with no…
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products
Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu +1
Higher order finite difference Weighted Essentially Non-Oscillatory (WENO) schemes have been constructed for conservation laws. For multidimensional problems, they offer high order…
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…