Publications

Preprints

2025

1. Constraints Preserving Lax-Wendroff Flux Reconstruction for Relativistic Hydrodynamics with General Equations of State

   Sujoy Basak, Arpit Babbar, Harish Kumar, and Praveen Chandrashekar

   2025

   arXiv preprint arXiv:2505.05128

   DOI

Journal Publications

2025

1. Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations

   Chetan Singh, Anshu Yadav, Deepak Bhoriya, Harish Kumar, and Dinshaw S Balsara

   Journal of Scientific Computing, 2025

   DOI
2. Bound Preserving Lax-Wendroff Flux Reconstruction Method for Special Relativistic Hydrodynamics

   Sujoy Basak, Arpit Babbar, Harish Kumar, and Praveen Chandrashekar

   Journal of Computational Physics, 2025

   DOI
3. Second order divergence constraint preserving schemes for two-fluid relativistic plasma flow equations

   Jaya Agnihotri, Deepak Bhoriya, Harish Kumar, Praveen Chandrashekar, and Dinshaw S. Balsara

   Communications on Applied Mathematics and Computation, https://arxiv.org/abs/2503.20372, 2025

   DOI
4. Chew, Goldberger & Low Equations: Eigensystem Analysis and Applications to One-Dimensional Test Problems

   Chetan Singh, Deepak Bhoriya, Anshu Yadav, Harish Kumar, and Dinshaw S. Balsara

   Computers & Mathematics with Applications, 2025

   DOI
5. Physical Constraint Preserving Higher-order Finite Volume Schemes for Divergence-free Astrophysical MHD and RMHD

   Dinshaw S. Balsara, Deepak Bhoriya, Chetan Singh, Harish Kumar, Roger Käppeli, and Federico Gatti

   The Astrophysical Journal, Jul 2025

   DOI

2024

1. Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws

   Dinshaw S Balsara, Deepak Bhoriya, Chi-Wang Shu, and Harish Kumar

   Communications on Applied Mathematics and Computation, Jul 2024

   DOI
2. Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products

   Dinshaw S Balsara, Deepak Bhoriya, Chi-Wang Shu, and Harish Kumar

   Communications on Applied Mathematics and Computation, Jul 2024

   DOI
3. Second order divergence constraint preserving entropy stable finite difference schemes for ideal two-fluid plasma flow equations

   Jaya Agnihotri, Deepak Bhoriya, Harish Kumar, Praveen Chandrashekhar, and Dinshaw S Balsara

   Journal of Scientific Computing, Jul 2024

   DOI
4. Going Beyond the MHD Approximation: Physics-based Numerical Solution of the CGL Equations

   Deepak Bhoriya, Dinshaw Balsara, Vladimir Florinski, and Harish Kumar

   The Astrophysical Journal, Jul 2024

   DOI

2023

1. High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations

   Deepak Bhoriya, Harish Kumar, and Praveen Chandrashekar

   Journal of Computational Physics, Jul 2023

   DOI
2. Techniques, Tricks and Algorithms for Efficient GPU-Based Processing of Higher Order Hyperbolic PDEs

   Sethupathy Subramanian, Dinshaw S Balsara, Deepak Bhoriya, and Harish Kumar

   Communications on Applied Mathematics and Computation, Jul 2023

   DOI
3. Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products

   Dinshaw S Balsara, Deepak Bhoriya, Chi-Wang Shu, and Harish Kumar

   Communications on Applied Mathematics and Computation, Jul 2023

   DOI
4. Entropy stable schemes for the shear shallow water model Equations

   Anshu Yadav, Deepak Bhoriya, Harish Kumar, and Praveen Chandrashekar

   Journal of Scientific Computing, Jul 2023

   DOI
5. Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations

   Deepak Bhoriya, Biswarup Biswas, Harish Kumar, and Praveen Chandrashekhar

   Journal of Scientific Computing, Jul 2023

   DOI

2022

1. Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations

   Biswarup Biswas, Harish Kumar, and Deepak Bhoriya

   Computers & Mathematics with Applications, Jul 2022

   DOI

2021

1. Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations

   Biswarup Biswas, Harish Kumar, and Anshu Yadav

   Journal of Computational Physics, Jul 2021

   DOI

2020

1. Entropy-stable schemes for relativistic hydrodynamics equations

   Deepak Bhoriya and Harish Kumar

   Zeitschrift für angewandte Mathematik und Physik, Jul 2020

   DOI

2019

1. Robust numerical schemes for Two-Fluid Ten-Moment plasma flow equations

   Asha Kumari Meena and Harish Kumar

   Zeitschrift für angewandte Mathematik und Physik, Jul 2019

   DOI
2. Effect of magnetic field on electromagnetic soliton evolution by different pulses

   Aparna Sharma, Hitendra K Malik, Harish Kumar, and Sanjeev Goyal

   Journal of Theoretical and Applied Physics, Jul 2019

   DOI

2018

1. Entropy Stable Schemes For Ten-Moment Gaussian Closure Equations

   Chhanda Sen and Harish Kumar

   Journal of Scientific Computing, Jul 2018

   DOI
2. A well-balanced scheme for ten-moment Gaussian closure equations with source term

   Asha Kumari Meena and Harish Kumar

   Zeitschrift für angewandte Mathematik und Physik, Jul 2018

   DOI
3. Study of electromagnetic solitons excited by different profile pulses

   Aparna Sharma, Hitendra K Malik, and Harish Kumar

   Journal of Theoretical and Applied Physics, Jul 2018

   DOI

2017

1. Positivity-preserving high-order discontinuous Galerkin schemes for Ten-Moment Gaussian closure equations

   Asha Kumari Meena, Harish Kumar, and Praveen Chandrashekar

   Journal of Computational Physics, Jul 2017

   DOI
2. Robust MUSCL Schemes for Ten-Moment Gaussian Closure Equations with Source Terms

   Asha Kumari Meena and Harish Kumar

   International Journal On Finite Volumes, Jul 2017

   DOI

2014

1. Robust finite volume schemes for two-fluid plasma equations

   Remi Abgrall and Harish Kumar

   Journal of Scientific Computing, Jul 2014

   DOI
2. Numerical approximation of a compressible multiphase system

   Remi Abgrall and Harish Kumar

   Communications in Computational Physics, Jul 2014

   DOI

2013

1. Three-Dimensional Plasma Arc Simulation Using Resistive MHD

   Rolf Jeltsch and Harish Kumar

   The Courant–Friedrichs–Lewy (CFL) Condition: 80 Years After Its Discovery, Jul 2013

   DOI

2012

1. Entropy stable numerical schemes for two-fluid plasma equations

   Harish Kumar and Siddhartha Mishra

   Journal of scientific computing, Jul 2012

   DOI

2011

1. Implicit-explicit Runge-Kutta methods for the two-fluid MHD equations

   Harish Kumar

   Research Report, Jul 2011

   PDF
2. Spectral performance of RKDG methods

   V Wheatley, R Jeltsch, and H Kumar

   Mathematica balkanica, Jul 2011

   PDF

2010

1. On the role of Riemann solvers in discontinuous Galerkin methods for magnetohydrodynamics

   V Wheatley, H Kumar, and P Huguenot

   Journal of Computational Physics, Jul 2010

   DOI

Others

2012

1. Finite volume methods for the two-fluid MHD equations

   Harish Kumar

   In Hyperbolic Problems: Theory, Numerics and Applications (In 2 Volumes), 2012

   DOI

2008

1. Numerical simulations of high current arc in circuit breakers

   P Huguenot, H Kumar, V Wheatley, R Jeltsch, C Schwab, and M Torrilhon

   In 24th International Conference on Electrical Contacts (ICEC), 2008
2. Numerical Simulation of Compressible Magnetohydrodynamic Plasma Flow in a Curcuit Breaker

   Ralf Hiptmair, Patrick Hugueniot, Rolf Jeltsch, Harish Kumar, Christoph Schwab, Manuel Torrilhon, and Vincent Wheatley

   In AIP Conference Proceedings, 2008

   DOI