Pith Number

pith:QF3MLYLW

pith:2026:QF3MLYLWRY2UH2DQKFCQ322Z5N

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Shock-Centered Low-Rank Structure and Neural-Operator Representation of Rarefied Micro-Nozzle Flows

Amirmehran Mahdavi, Ehsan Roohi

Registering rarefied nozzle flows to shock-centered coordinates collapses their density fields to one dominant mode capturing 98 percent of fluctuation energy.

arxiv:2605.12723 v1 · 2026-05-12 · physics.flu-dyn

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Claims

C1strongest claim

In the registered (ξ_j, η) frame, the first density mode captures 94.98% and the first two modes capture 99.05% of the fluctuation energy. For held-out back-pressure cases, density, temperature, and pressure errors remain below 6.8%, 4.3%, and 6.8%, respectively, and the hardest case reduces the shock-window mean error from 9.75%–22.27% for standard baselines to 4.51%.

C2weakest assumption

The jump-based thickness δ_j = Δρ / max|∂ρ/∂x| and shock station x_s identified from density-gradient diagnostics remain representative and generalizable beyond the specific DSMC cases and back-pressure range examined.

C3one line summary

Shock-centered scaling of DSMC fields in micro-nozzles reveals low-rank density structure, enabling DeepONet surrogates with mean errors reduced to 4.51% on hardest test cases.

References

36 extracted · 36 resolved · 1 Pith anchors

[1] Numerical modeling of axisymmetric and three-dimensional flows in microelec- tromechanical systems nozzles.AIAA journal, 40(5), 897–904 (2002) 2002 · doi:10.2514/2.1726

[2] doi: 10.1016/j.ast.2015.07.016 2015 · doi:10.1016/j.ast.2015.07.016

[3] Numericalandexperimentalinvestigationofrarefiedhypersonicflowinanozzle.PhysicsofFluids, 36(11), 116131 (2024) 2024 · doi:10.1063/5.0237548

[4] Numerical investigation of micropropulsion systems for CubeSats: Gas species and geometrical effects on nozzle performance.Aerospace Science and Technology, 155, 109625 (2024) 2024 · doi:10.1016/j.ast.2024.109625

[5] Numerical Study of Facility Pressure Effects on Micronozzles for Space Propulsion 2025 · doi:10.2514/1.j064386

Cited by

1 paper in Pith

Prescribed Wall-Heat-Flux Control of Blockage and Impulse in a Rarefied Micro-Nozzle

Receipt and verification

First computed	2026-05-18T03:09:49.364765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8176c5e1768e3543e87051450deb59eb5ab3ef32f3b11d16200d4c4b8d9f56da

Aliases

arxiv: 2605.12723 · arxiv_version: 2605.12723v1 · doi: 10.48550/arxiv.2605.12723 · pith_short_12: QF3MLYLWRY2U · pith_short_16: QF3MLYLWRY2UH2DQ · pith_short_8: QF3MLYLW

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/QF3MLYLWRY2UH2DQKFCQ322Z5N \
  | 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: 8176c5e1768e3543e87051450deb59eb5ab3ef32f3b11d16200d4c4b8d9f56da

Canonical record JSON

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    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-12T20:28:41Z",
    "title_canon_sha256": "786fc7334cc368ca8b19ae78347808f94b3a23ac140fb7b9cc82ccb58ae6b461"
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  "source": {
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