Pith Number

pith:4KTGLVXQ

pith:2026:4KTGLVXQF2UOLCGMWZ5PV7CNA5

not attested not anchored not stored refs resolved

Control of the Fluidic Pinball using the Quadratic-Quadratic Regulator

Ali Bouland, Jeff Borggaard

A quadratic-quadratic regulator stabilizes the fluidic pinball wake at Re=50 where linear control fails.

arxiv:2605.15438 v1 · 2026-05-14 · math.OC · physics.flu-dyn

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\usepackage{pith}
\pithnumber{4KTGLVXQF2UOLCGMWZ5PV7CNA5}

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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

At Re_D = 50, the QQR controller successfully stabilizes the wake, whereas the linear controller fails to overcome the nonlinearity of the flow.

C2weakest assumption

The reduced-order model obtained via IMOR accurately represents the input-output dynamics of the actuated wake sufficiently well for the QQR design to transfer to the full-order system.

C3one line summary

IMOR-QQR stabilizes the fluidic pinball at Re_D=50 where linear feedback fails and reaches performance criteria 40.1% faster at Re_D=30.

References

51 extracted · 51 resolved · 0 Pith anchors

[1] Numerical simulation of the flow behind a rotary oscillating circular cylinder.PhysicsofFluids, 10(869), 1998 1998

[2] Closed-loop control of an open cavity flow using reduced- order models.Journal of FluidMechanics, 641:1–50, 2009 2009

[3] Theproperorthogonaldecompositionintheanalysis of turbulent flows.Annual ReviewofFluidMechanics, 25(1):539–575, 1993 1993

[4] Borggaard and Serkan Gugercin 2014

[5] A goal-oriented reduced-order modeling approach for nonlinear systems.ComputersandMathematics withApplications, 71(11):2155–2169, 2016 2016

Receipt and verification

First computed	2026-05-20T00:00:58.589517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a665d6f02ea8e588ccb67afafc4d07527266d07ba2187846e8b47f3928cfee

Aliases

arxiv: 2605.15438 · arxiv_version: 2605.15438v1 · doi: 10.48550/arxiv.2605.15438 · pith_short_12: 4KTGLVXQF2UO · pith_short_16: 4KTGLVXQF2UOLCGM · pith_short_8: 4KTGLVXQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4KTGLVXQF2UOLCGMWZ5PV7CNA5 \
  | 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: e2a665d6f02ea8e588ccb67afafc4d07527266d07ba2187846e8b47f3928cfee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1556415a013e8360d1b4461c87cb41a9d03a076d754a22971c8b585595cedc2",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-14T21:40:15Z",
    "title_canon_sha256": "ae3a4455efe2c2f8d5d09e239373ee8e3ee3658ded798cd6f4849532c11fbc31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15438",
    "kind": "arxiv",
    "version": 1
  }
}