6 papers · 1 filter
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…
Compact Runge-Kutta flux reconstruction methods with entropy and/or kinetic energy preserving fluxes
Arpit Babbar, Qifan Chen, Hendrik Ranocha
Compact Runge-Kutta (cRK) methods are a class of high order methods for solving hyperbolic conservation laws characterized by their compact stencil including only immediate neighbo…
Jin-Xin relaxation as a shock-capturing method for high-order DG/FR schemes
Marco Artiano, Arpit Babbar, Michael Schlottke-Lakemper +2
Jin-Xin relaxation is a method for approximating non-linear hyperbolic conservation laws by a linear system of hyperbolic equations with an dependent stiff source ter…
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…
Compact Runge-Kutta Flux Reconstruction for Hyperbolic Conservation Laws with admissibility preservation
Arpit Babbar, Qifan Chen
Compact Runge-Kutta (cRK) Discontinuous Galerkin (DG) methods, recently introduced in [Q. Chen, Z. Sun, and Y. Xing, SIAM J. Sci. Comput. SIAM J. Sci. Comput., 46: A1327-A1351, 202…
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…