Entropy based flux limiting scheme for conservation laws

Georgios Doulis; Sebastiano Bernuzzi; Wolfgang Tichy

Entropy based flux limiting scheme for conservation laws

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2401.04770 v2 pith:WF7JDX33 submitted 2024-01-09 gr-qc astro-ph.HE

Georgios Doulis , Sebastiano Bernuzzi , Wolfgang Tichy This is my paper · ORCID

classification gr-qcastro-ph.HE

keywords methodconservationentropygeneralhydrodynamicsrelativisticspecialapplicability

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

The entropy based flux-limiting (EFL) scheme is a novel approach designed to accurately resolve shocks and discontinuities in special and general relativistic hydrodynamics. By adaptively adjusting the numerical fluxes, the EFL method mitigates oscillations and preserves smooth transition across discontinuities in shock-dominated flows. Here, we extend the applicability of the EFL method beyond special/general relativistic hydrodynamics to scalar conservation laws and show how to treat systems without a thermodynamic entropy. This is an indication that the method has universal applicability to any system of partial differential equations that can be written in conservation form. We also present some further very challenging special/general relativistic hydrodynamics applications of the EFL method.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Eccentricity reduction of binary neutron star initial data with the entropy based flux limiting scheme
gr-qc 2024-12 conditional novelty 6.0 of 10

Using the entropy-based flux limiter in both eccentricity reduction and evolution yields apparent fifth-order convergence in binary neutron star waveform phase.

Pith tools