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An HLLC Riemann Solver for Relativistic Flows: I. Hydrodynamics

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

We present an extension of the HLLC approximate Riemann solver by Toro, Spruce and Speares to the relativistic equations of fluid dynamics. The solver retains the simplicity of the original two-wave formulation proposed by Harten, Lax and van Leer (HLL) but it restores the missing contact wave in the solution of the Riemann problem. The resulting numerical scheme is computationally efficient, robust and positively conservative. The performance of the new solver is evaluated through numerical testing in one and two dimensions.

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astro-ph.HE 2

years

2026 2

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UNVERDICTED 2

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background 1

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unclear 1

representative citing papers

A magnetar formation in binary neutron star merger

astro-ph.HE · 2026-06-09 · unverdicted · novelty 6.0

High-resolution GR neutrino-radiation MHD simulation of 1.35-1.35 Msun BNS merger shows KHI-driven B-field amplification to magnetar levels (~10^50 erg, factor >=316) in 3 ms post-merger.

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