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20232026
most citedEntropy stable schemes for the shear shallow water model Equations

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.NA2026

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…

math.NA2025

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…

math.NA2025

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…

math.NA2024

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…

math.NA2023

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…

math.NA2023★ 1 cited

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…