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

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dc.contributor.author Bhoriya, Deepak
dc.date.accessioned 2025-09-18T10:06:08Z
dc.date.available 2025-09-18T10:06:08Z
dc.date.issued 2024-10
dc.identifier.uri https://link.springer.com/article/10.1007/s10915-024-02685-0
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/19443
dc.description.abstract 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 viscous, resistive and collision effects. The resulting system of equations has flux consisting of three independent components, one for ions, one for electrons, and a linear Maxwell’s equation flux for the electromagnetic fields. The coupling of these components is via source terms. In this article, we present conservative second-order finite difference schemes that ensure the consistent evolution of the divergence constraints on the electric and magnetic fields. The key idea is to design a numerical solver for Maxwell’s equations using the multidimensional Riemann solver at the vertices, ensuring discrete divergence constraints; for the fluid parts, we use an entropy-stable discretization. The proposed schemes are co-located, second-order accurate, entropy stable, and ensure divergence-free evolution of the magnetic field. We use explicit and IMplicit–EXplicit (IMEX) schemes for time discretizations. To demonstrate the accuracy, stability, and divergence constraint-preserving ability of the proposed schemes, we present several test cases in one and two dimensions. We also compare the numerical results with those obtained from schemes with no divergence cleaning and those employing perfectly hyperbolic Maxwell (PHM) equations-based divergence cleaning methods for Maxwell’s equations. en_US
dc.language.iso en en_US
dc.publisher Springer en_US
dc.subject Mathematics en_US
dc.subject Two-fluid plasma flow en_US
dc.subject Ion-electron dynamics en_US
dc.subject Ideal plasma en_US
dc.subject Finite difference schemes en_US
dc.subject Entropy-stable discretization en_US
dc.title Second order divergence constraint preserving entropy stable finite difference schemes for ideal two-fluid plasma flow equations en_US
dc.type Article en_US


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