3 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
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…