Pith Number

pith:PU5EF353

pith:2026:PU5EF353NG2BAH45OEUFYD7KKQ

not attested not anchored not stored refs pending

A bound-preserving oscillation-eliminating discontinuous Galerkin scheme for compressible two-phase flow

A-Man Zhang, Fan Zhang, Jia-Jun Zou, Qi Kong, Yu-Chang Liu, Yun-Long Liu

Operator splitting with implicit discretization yields a bound-preserving oscillation-eliminating DG scheme for Kapila two-phase flows that removes stiffness-induced CFL restrictions.

arxiv:2604.25672 v2 · 2026-04-28 · math.NA · cs.NA · physics.flu-dyn

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\pithnumber{PU5EF353NG2BAH45OEUFYD7KKQ}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations 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

We rigorously prove that this implicit treatment is unconditionally BP, effectively removing the stiffness-induced stability constraints inherent in traditional explicit schemes... we prove that the proposed BP-OEDG scheme, integrated with the splitting strategy, strictly satisfies the Abgrall condition.

C2weakest assumption

The operator-splitting strategy accurately decouples the transport and stiff source terms without introducing significant splitting errors that would violate the bound-preserving or Abgrall properties in practice; this is stated in the description of the novel operator-splitting strategy.

C3one line summary

A new DG scheme for two-phase compressible flows that decouples transport and stiff source terms, proves unconditional bound preservation, satisfies the Abgrall condition, and uses limiters to suppress oscillations.

Receipt and verification

First computed	2026-05-27T01:05:55.086599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3a42efbb69b4101f9d71285c0fea541e5ca1d3718ab0d91acd65dfd4e8f2ca

Aliases

arxiv: 2604.25672 · arxiv_version: 2604.25672v2 · doi: 10.48550/arxiv.2604.25672 · pith_short_12: PU5EF353NG2B · pith_short_16: PU5EF353NG2BAH45 · pith_short_8: PU5EF353

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PU5EF353NG2BAH45OEUFYD7KKQ \
  | 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: 7d3a42efbb69b4101f9d71285c0fea541e5ca1d3718ab0d91acd65dfd4e8f2ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75effd0864e8bb2aab321205ade2c4a2061b25057f9a73bac010465a04ced5b",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-04-28T14:04:37Z",
    "title_canon_sha256": "ed0b8c767c234c7a8f106d693b050d2cc1b5d90cae7f56f311a1153f104a52b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25672",
    "kind": "arxiv",
    "version": 2
  }
}