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pith:TAQBMLTK

pith:2026:TAQBMLTKE6EVWYZJJPMVKTPQ7K

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Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics

Chetan Singh, Harish Kumar

Reformulating non-conservative terms enables entropy-stable finite difference schemes for the one-fluid two-temperature Euler equations.

arxiv:2605.15616 v1 · 2026-05-15 · math.NA · cs.NA

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Claims

C1strongest claim

We design entropy-stable finite difference numerical schemes for the OFTT-Euler model by reformulating the equations such that the reformulated non-conservative part does not contribute to the entropy. Then we design higher-order entropy-conservative numerical schemes by using Tadmor's relation for the conservative part and higher-order central differences for the non-conservative parts.

C2weakest assumption

The reformulation of the non-conservative products ensures they do not contribute to the entropy production in the system, allowing Tadmor's relation and central differences to produce entropy-conservative schemes before dissipation is added (abstract, paragraph on scheme design).

C3one line summary

Entropy-stable finite difference schemes are constructed for the OFTT-Euler model by reformulating non-conservative products to not affect entropy and adding dissipation via entropy-scaled eigenvectors.

References

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[1] Astrophysical radiation dynamics: The prospects for scaling.Astrophysics and Space Science, 307(1):207–211, 2007 2007

[2] Smoothed particle hydrodynamics in astrophysics.Annual Review of Astronomy and Astrophysics, 48:391–430, 2010 2010

[3] Grid-based hydrodynamics in astrophysical fluid flows.Annual Review of Astronomy and Astrophysics, 53(1):325–364, 2015 2015

[4] Springer Science & Business Media, 2012 2012

[5] Stefano Atzeni and Jürgen Meyer-ter Vehn.The Physics of Inertial Fusion: BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter. Number 125. Oxford University Press, 2004 2004

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Receipt and verification

First computed	2026-05-20T00:01:08.295896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9820162e6a27895b63294bd9554df0faa03c59009501d687c892e76383344296

Aliases

arxiv: 2605.15616 · arxiv_version: 2605.15616v1 · doi: 10.48550/arxiv.2605.15616 · pith_short_12: TAQBMLTKE6EV · pith_short_16: TAQBMLTKE6EVWYZJ · pith_short_8: TAQBMLTK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TAQBMLTKE6EVWYZJJPMVKTPQ7K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9820162e6a27895b63294bd9554df0faa03c59009501d687c892e76383344296

Canonical record JSON

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    "abstract_canon_sha256": "8c8e68dbcc3318a493c3503fe5bca5169a15d4c9cf09884f92c4d66354a9bc51",
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    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-15T04:58:18Z",
    "title_canon_sha256": "4ee9615f5570a828ba735ca2c9a7a133aceaaa63044a09785b84ed9af96fff59"
  },
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    "kind": "arxiv",
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