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

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dc.contributor.author Bhoriya, Deepak
dc.date.accessioned 2025-09-18T11:16:35Z
dc.date.available 2025-09-18T11:16:35Z
dc.date.issued 2023-09
dc.identifier.uri https://www.sciencedirect.com/science/article/pii/S0021999123003029
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/19452
dc.description.abstract In this article, we propose high-order finite-difference entropy stable schemes for the two-fluid relativistic plasma flow equations. This is achieved by exploiting the structure of the equations, which consists of three independent flux components. The first two components describe the ion and electron flows, which are modeled using the relativistic hydrodynamics equation and the third component is Maxwell's equations. The coupling of the ion and electron flows and electromagnetic fields is via source terms only, but the source terms do not affect the entropy evolution. To design semi-discrete entropy stable schemes, we extend the entropy stable schemes for relativistic hydrodynamics in [1] to three dimensions. This is then coupled with entropy stable discretization of the Maxwell's equations. Finally, we use SSP-RK schemes to discretize in time. We also propose ARK-IMEX schemes to treat the stiff source terms; the resulting nonlinear set of algebraic equations is local (at each discretization point) and hence can be solved cheaply using the Newton's Method. The proposed schemes are then tested using various test problems to demonstrate their stability, accuracy and efficiency. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Mathematics en_US
dc.subject Finite-difference entropy stable schemes en_US
dc.subject Two-fluid relativistic plasma flows en_US
dc.subject Balance laws en_US
dc.subject IMEX-schemes en_US
dc.title High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations en_US
dc.type Article en_US


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