Pith Number

pith:JI4PR257

pith:2025:JI4PR257XZ743XXFPDKE4V2TBA

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Effect of Turbulence-Closure Consistency on Airfoil Identification

George Em Karniadakis, Zhen Zhang

Inconsistencies among turbulence closures produce up to 250 percent differences in airfoil shapes identified from wake velocity fields.

arxiv:2511.08341 v3 · 2025-11-11 · physics.flu-dyn

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Claims

C1strongest claim

inconsistencies among the models lead to markedly divergent shapes... up to a 250 percent difference among these sensitivities... turbulence-closure consistency is essential for reliable shape identification

C2weakest assumption

That the wake velocity fields supplied to the inverse solver are free of measurement or discretization error and that the optimization procedure itself does not introduce additional model-dependent bias when comparing closures.

C3one line summary

Turbulence model choice causes up to 250% differences in geometric sensitivities during airfoil shape identification from wake data, showing that closure consistency is required for reliable inverse results.

References

12 extracted · 12 resolved · 0 Pith anchors

[1] Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation, SIAM, Philadelphia, PA, 2005.doi:10.1137/1.9780898717921 2005 · doi:10.1137/1.9780898717921

[2] Inverse problems: A Bayesian perspective 2010 · doi:10.1017/s0962492910000061

[3] Spalart and Steven R 1992 · doi:10.2514/6.1992-439

[4] F. R. Menter, Two-equation eddy-viscosity turbulence models for engi- neering applications, AIAA Journal 32 (1994) 1598–1605. doi:10.2514/ 3.12149 1994

[5] T. J. Craft, B. E. Launder, K. Suga, Development and application of a cubic eddy-viscosity model of turbulence, International Journal of Heat and Fluid Flow 17 (1996) 108–115. doi:10.1016/0142-727X(95 1996 · doi:10.1016/0142-727x(95

Receipt and verification

First computed	2026-06-05T01:14:30.685730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a38f8ebbfbe7fcddee578d44e575308385673e2cd7b52766e5976737e1b132b

Aliases

arxiv: 2511.08341 · arxiv_version: 2511.08341v3 · doi: 10.48550/arxiv.2511.08341 · pith_short_12: JI4PR257XZ74 · pith_short_16: JI4PR257XZ743XXF · pith_short_8: JI4PR257

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JI4PR257XZ743XXFPDKE4V2TBA \
  | 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: 4a38f8ebbfbe7fcddee578d44e575308385673e2cd7b52766e5976737e1b132b

Canonical record JSON

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    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-11-11T15:17:35Z",
    "title_canon_sha256": "f1f91a2fe42062d4992dde53df6f4e3128efd7e73d2b5fddee691d71da0c2a82"
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