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20222026
most citedEfficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products

16 citations · 53 across the 17 of their papers we have counts for

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7 papers · 1 filter

physics.space-ph2024★ 1 cited

An anisotropic plasma model of the heliospheric interface

Vladimir Florinski, Dinshaw S. Balsara, Deepak Bhoriya +4

We present a pioneering model of the interaction between the solar wind and the surrounding interstellar medium that includes the possibility of different pressures in directions p…

math.NA2024

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

Jaya Agnihotri, Deepak Bhoriya, Harish Kumar +2

Two-fluid plasma flow equations describe the flow of ions and electrons with different densities, velocities, and pressures. We consider the ideal plasma flow i.e. we ignore viscou…

math.NA2024

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

Chetan Singh, Anshu Yadav, Deepak Bhoriya +2

In this article, we consider the Chew, Goldberger \& Low (CGL) plasma flow equations, which is a set of nonlinear, non-conservative hyperbolic PDEs modelling anisotropic plasma flo…

gr-qc2024★ 5 cited

Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations

Dinshaw Balsara, Deepak Bhoriya, Olindo Zanotti +1

In this work we aim at developing a new class of high order accurate well-balanced finite difference (FD) Weighted Essentially Non-Oscillatory (WENO) methods for numerical general…

physics.plasm-ph2024★ 5 cited

Going Beyond the MHD Approximation: Physics-Based Numerical Solution of the CGL Equations

Deepak Bhoriya, Dinshaw S. Balsara, Vladimir Florinski +1

We present a new numerical model for solving the Chew-Goldberger-Low system of equations describing a bi-Maxwellian plasma in a magnetic field. Heliospheric and geospace environmen…

math.NA2024★ 7 cited

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

Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu +1

Higher order finite difference Weighted Essentially Non-Oscillatory (WENO) schemes for conservation laws represent a technology that has been reasonably consolidated. They are extr…

math.NA2024★ 10 cited

Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws

Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu +1

Higher order finite difference Weighted Essentially Non-Oscillatory (WENO) schemes for conservation laws are extremely popular because, for multidimensional problems, they offer hi…