17 citations · 18 across the 15 of their papers we have counts for
15 papers
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…
Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations
Arpit Babbar, Hendrik Ranocha
Compact Runge-Kutta (cRK) Flux Reconstruction (FR) methods are a variant of RKFR methods for hyperbolic conservation laws with a compact stencil including only immediate neighborin…
Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations
Arpit Babbar, Valentin Churavy, Michael Schlottke-Lakemper +1
Lax-Wendroff methods combined with discontinuous Galerkin/flux reconstruction spatial discretization provide a high-order, single-stage, quadrature-free method for solving hyperbol…
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…
Multi-Derivative Runge-Kutta Flux Reconstruction for hyperbolic conservation laws
Arpit Babbar, Praveen Chandrashekar
We extend the fourth order, two stage Multi-Derivative Runge Kutta (MDRK) scheme to the Flux Reconstruction (FR) framework by writing both stages in terms of a time averaged flux a…
Equivalence of ADER and Lax-Wendroff in DG / FR framework for linear problems
Arpit Babbar, Praveen Chandrashekar
ADER (Arbitrary high order by DERivatives) and Lax-Wendroff (LW) schemes are two high order single stage methods for solving time dependent partial differential equations. ADER is…
Lax-Wendroff Flux Reconstruction for advection-diffusion equations with error-based time stepping
Arpit Babbar, Praveen Chandrashekar
This work introduces an extension of the high order, single stage Lax-Wendroff Flux Reconstruction (LWFR) of Babbar et al., JCP (2022) to solve second order time-dependent partial…
Lax-Wendroff Flux Reconstruction on adaptive curvilinear meshes with error based time stepping for hyperbolic conservation laws
Arpit Babbar, Praveen Chandrashekar
Lax-Wendroff Flux Reconstruction (LWFR) is a single-stage, high order, quadrature free method for solving hyperbolic conservation laws. This work extends the LWFR scheme to solve c…
Generalized framework for admissibility preserving Lax-Wendroff Flux Reconstruction for hyperbolic conservation laws with source terms
Arpit Babbar, Praveen Chandrashekar
Lax-Wendroff Flux Reconstruction (LWFR) is a single-stage, high order, quadrature free method for solving hyperbolic conservation laws. We perform a cell average decomposition of t…
Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction
Arpit Babbar, Sudarshan Kumar Kenettinkara, Praveen Chandrashekar
Lax-Wendroff Flux Reconstruction (LWFR) is a single-stage, high order, quadrature free method for solving hyperbolic conservation laws. We develop a subcell based limiter by blendi…
Lax-Wendroff flux reconstruction method for hyperbolic conservation laws
Arpit Babbar, Sudarshan Kumar Kenettinkara, Praveen Chandrashekar
The Lax-Wendroff method is a single step method for evolving time dependent solutions governed by partial differential equations, in contrast to Runge- Kutta methods that need mult…