6 papers · 1 filter
Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics
Chetan Singh, Harish Kumar
In this work, we consider the One-Fluid Two-Temperature Euler (OFTT-Euler) equations used for modeling non-equilibrium hydrodynamics. The model comprises a system of nonlinear hype…
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…
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…
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…