16 citations · 30 across the 9 of their papers we have counts for
9 papers
Efficient Hybrid WENO Schemes for Special Relativistic Hydrodynamics with Adaptive Characteristic Reconstruction
Rakesh Kumar, Biswarup Biswas, Asha Kumari Meena +1
Special relativistic hydrodynamics (SRHD) equations arise in the modeling of high-speed fluid flows encountered in astrophysical phenomena such as jets, supernova explosions, and g…
Constraint Preserving AFD-WENO Schemes for Relativistic Hydrodynamics with General Equations of State
Pramodit Mishra, Shubham Upadhyay, Rakesh Kumar +1
We develop a high-order physical-constraint-preserving (PCP) alternative finite difference weighted essentially non-oscillatory (AFD-WENO) scheme for the special relativistic hydro…
Riemann invariant-based alternative WENO scheme for a two-layer thin film model
Biswarup Biswas, Rahul Barthwal, Rakesh Kumar
In this article, we develop a multi-dimensional two-layer thin film model extending the thin film model proposed in \cite{barthwal2025hyperbolic}. The model considered in \cite{bar…
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…
Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations
Biswarup Biswas, Harish Kumar, Anshu Yadav
In this article, we propose high order discontinuous Galerkin entropy stable schemes for ten-moment Gaussian closure equations, which is based on the suitable quadrature rules (see…
Entropy stable discontinuous Galerkin schemes for the Relativistic Hydrodynamic Equations
Biswarup Biswas, Harish Kumar
In this article, we present entropy stable discontinuous Galerkin numerical schemes for equations of special relativistic hydrodynamics with the ideal equation of state. The numeri…
Arc length based WENO scheme for Hamilton-Jacobi Equations
Samala Rathan, Biswarup Biswas
In this article, novel smoothness indicators are presented for calculating the nonlinear weights of weighted essentially non-oscillatory scheme to approximate the viscosity numeric…
Accuracy Preserving ENO and WENO Schemes using Novel Smoothness Measurement
Biswarup Biswas, Ritesh Kumar Dubey
A novel procedure is given for choosing smoothest stencil to construct less oscillatory ENO schemes. The procedure is further used to define smoothness parameter in the non-linear…
Local principle satisfying high order total variation diminishing approximation for non-sonic data extrema
Ritesh Kumar Dubey, Biswarup Biswas, Vikas Gupta
The main contribution of this work is to construct higher than second order accurate total variation diminishing (TVD) schemes which can preserve high accuracy at non-sonic extrema…