Pith Number

pith:I3XCI3VM

pith:2026:I3XCI3VMXWTWSZGWRZ44UHQ3XT

not attested not anchored not stored refs resolved

Modelling Farm-to-Farm Interaction Using a Fast Linearised Numerical Approach

Alexia Everley, Hossein A. Kafiabad, Majid Bastankhah

A fast linearised 2D model shows ground proximity drives upward displacement of wind farm wakes, making downstream farms with higher hub heights more vulnerable.

arxiv:2605.04782 v1 · 2026-05-06 · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3XCI3VMXWTWSZGWRZ44UHQ3XT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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 demonstrate that the upward vertical displacement of these wakes is driven by asymmetric turbulent entrainment caused by the farm's proximity to the ground, which restricts downward wake expansion. Consequently, the results suggest that, due to this upward wake displacement, downstream wind farms with higher hub heights may be more strongly affected by upstream farms than those with lower hub heights.

C2weakest assumption

The linearised two-dimensional incompressible equations remain sufficiently accurate for the wake recovery and vertical displacement observed in tandem farm configurations at the tested distances and hub-height ratios.

C3one line summary

A linearised Fourier-finite-difference model predicts upward wake displacement from ground-restricted entrainment, implying higher-hub downstream farms suffer more from upstream wakes.

References

21 extracted · 21 resolved · 0 Pith anchors

[1] Bastankhah M, Mohammadi M, Lees C, Diaz G, Buxton O and Ivanell S 2024 A fast-running physics-based wake model for a semi-infinite wind farmJournal of Fluid Mechanics985A43 2024

[2] Nygaard N Get al.2020 Modelling cluster wakes and wind farm blockageJournal of Physics: Conference Seriesvol 1618 aDS / Harv. Press 2020

[3] Pettas Vet al.2021 On the effects of inter-farm interactions at the offshore windWind Energy Science61455 2021

[4] Stevens R and Meneveau C 2017 Flow structure and turbulence in wind farmsAnnual review of fluid mechanics49311–339 2017

[5] Port´ e-Agel Fet al.2020 Wind-turbine and wind-farm flows: A reviewBoundary-Layer Meteorology1741–59 2020

Receipt and verification

First computed	2026-06-02T02:04:53.635285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ee246eacbda76964d68e79ca1e1bbcc581791c761dc6ce7fc201a8951ccdf9

Aliases

arxiv: 2605.04782 · arxiv_version: 2605.04782v1 · doi: 10.48550/arxiv.2605.04782 · pith_short_12: I3XCI3VMXWTW · pith_short_16: I3XCI3VMXWTWSZGW · pith_short_8: I3XCI3VM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I3XCI3VMXWTWSZGWRZ44UHQ3XT \
  | 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: 46ee246eacbda76964d68e79ca1e1bbcc581791c761dc6ce7fc201a8951ccdf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0a5acbddb3785f1d3f8ca860b15e2847dcb1d427793d59ebe34cbac7e9c12dc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-06T11:34:32Z",
    "title_canon_sha256": "4384378a6be1f0efcebbe69d3f33f9ae36c70f14c8ca53dfa63a03d1130a8533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.04782",
    "kind": "arxiv",
    "version": 1
  }
}