Pith Number

pith:WKLBHLVQ

pith:2026:WKLBHLVQKA2H2BTRKHUGJ6K7QY

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Pressure-equilibrium-preserving and fully conservative discretization of compressible flow equations for real and thermally perfect gases

Alessandro Aiello, Carlo De Michele, Gennaro Coppola

A discretization for compressible flows preserves mass, momentum and total energy conservation while exactly enforcing pressure equilibrium for arbitrary equations of state.

arxiv:2605.03617 v2 · 2026-05-05 · physics.flu-dyn · cs.NA · math.NA

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\usepackage{pith}
\pithnumber{WKLBHLVQKA2H2BTRKHUGJ6K7QY}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

This study proposes for the first time a numerical discretization procedure which is able to discretely preserve the full conservation of the linear invariants (mass, momentum and total energy) and to exactly enforce the pressure equilibrium condition.

C2weakest assumption

That nonlinear numerical fluxes for mass and internal energy can be defined depending on the details of an arbitrary equation of state such that both full conservation of linear invariants and exact discrete pressure equilibrium are satisfied simultaneously without introducing inconsistencies or instability.

C3one line summary

A discretization scheme for the compressible Euler equations that fully conserves linear invariants and exactly preserves pressure equilibrium via EOS-dependent nonlinear fluxes for mass and internal energy.

Receipt and verification

First computed	2026-05-27T02:05:21.040918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29613aeb050347d067151e864f95f8627a6fa63115815920ec4f6ea0bda9a7c

Aliases

arxiv: 2605.03617 · arxiv_version: 2605.03617v2 · doi: 10.48550/arxiv.2605.03617 · pith_short_12: WKLBHLVQKA2H · pith_short_16: WKLBHLVQKA2H2BTR · pith_short_8: WKLBHLVQ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WKLBHLVQKA2H2BTRKHUGJ6K7QY \
  | 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: b29613aeb050347d067151e864f95f8627a6fa63115815920ec4f6ea0bda9a7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dbea4a46f27913188df550d9d331387180b877cfef069edb0731622fde933f6",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-05T10:43:18Z",
    "title_canon_sha256": "e017df5694970ea366ae442efa8f45041de6450a2abbf4b184e23bf2c46d72f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03617",
    "kind": "arxiv",
    "version": 2
  }
}