Pith Number

pith:JNB5352N

pith:2026:JNB5352NG7ZPQSVZYOL6YIFR7Y

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Hierarchical Iterative Method in CFD Numerical Solution

Dehong Meng, Hao Wang, Hao Yue, Junwu Hong, Rui Wang, Wei Li, Yuhang Qi

Dividing the flow field into boundary, inner, and outer layers with different iteration steps yields identical CFD results at 53.2% of traditional computation time.

arxiv:2604.09392 v2 · 2026-04-10 · physics.flu-dyn · math.PR

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\pithnumber{JNB5352NG7ZPQSVZYOL6YIFR7Y}

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Claims

C1strongest claim

the proposed method can achieve identical simulation results compared to traditional methods while only consuming 53.2% of the computational time of traditional methods, without significantly increasing manpower costs

C2weakest assumption

That applying different iteration steps across the three defined layers (boundary, inner, outer) preserves convergence to the identical solution as uniform synchronous iteration over the entire domain.

C3one line summary

A hierarchical iterative method for CFD simulations achieves identical accuracy to standard synchronous iteration but consumes only 53.2% of the computational time on three benchmark models.

Receipt and verification

First computed	2026-05-26T01:03:29.788061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b43ddf74d37f2f84ab9c397ec20b1fe1767a2ed26915debda9b9346d4f81d7b

Aliases

arxiv: 2604.09392 · arxiv_version: 2604.09392v2 · doi: 10.48550/arxiv.2604.09392 · pith_short_12: JNB5352NG7ZP · pith_short_16: JNB5352NG7ZPQSVZ · pith_short_8: JNB5352N

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JNB5352NG7ZPQSVZYOL6YIFR7Y \
  | 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: 4b43ddf74d37f2f84ab9c397ec20b1fe1767a2ed26915debda9b9346d4f81d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4566deca97ba52247c0002c793b305f2bb601524435065e9fefe496e9e393c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-04-10T15:07:06Z",
    "title_canon_sha256": "8feb237701a64615855751d416dc4dd0e91f9866c1a653d3065e92492e364630"
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  "schema_version": "1.0",
  "source": {
    "id": "2604.09392",
    "kind": "arxiv",
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}