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

16 citations · 46 across the 18 of their papers we have counts for

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Showing 2024 · math.NAShow all

5 papers · 2 filters

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

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…

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…

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…