Pith Number

pith:DN36FPBU

pith:2026:DN36FPBUR67RMP6YFRELNTEFMJ

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Coarse-grained local available potential energy

Jacob O. Wenegrat, Roy Barkan, Tomas Chor

Spatial filtering applied to local available potential energy produces separate evolution equations for large and small scales plus a cross-scale flux term.

arxiv:2605.15879 v1 · 2026-05-15 · physics.flu-dyn · physics.ao-ph

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Claims

C1strongest claim

Evolution equations for the APE at scales larger, and smaller, than the filtering scale are derived -- including the cross-scale APE flux term. These results can be paired with existing frameworks for coarse-grained kinetic energy, offering the potential for examining a complete energy cycle that accounts for conversions between both spatial scales and energy reservoirs.

C2weakest assumption

The local definition of available potential energy remains meaningful and useful after spatial filtering is applied, and the resulting filtered quantities satisfy the same physical interpretations as the unfiltered local APE (abstract, paragraph 1 and the derivation statement).

C3one line summary

A coarse-graining method is introduced to derive multi-scale evolution equations for local available potential energy, including cross-scale fluxes, with an example application to a Kelvin-Helmholtz instability simulation.

References

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[1] Physical Review Letters 106 (17), 174502 2011

[2] New Journal of Physics 19 (2), 025008 2017

[3] 2018 Mapping the Energy Cascade in the North Atlantic Ocean : The Coarse - Graining Approach 2018

[4] & McWilliams, James C 2017

[5] 2021 Layering, Instabilities , and Mixing in Turbulent Stratified Flows 2021

Formal links

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Receipt and verification

First computed	2026-05-20T00:01:23.328567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b77e2bc348fbf163fd82c48b6cc856244b26bc53737c0650c43fdeea56d38b5

Aliases

arxiv: 2605.15879 · arxiv_version: 2605.15879v1 · doi: 10.48550/arxiv.2605.15879 · pith_short_12: DN36FPBUR67R · pith_short_16: DN36FPBUR67RMP6Y · pith_short_8: DN36FPBU

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DN36FPBUR67RMP6YFRELNTEFMJ \
  | 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: 1b77e2bc348fbf163fd82c48b6cc856244b26bc53737c0650c43fdeea56d38b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "186878c2ee50b281f9f6875e648f51cebbb939a55bb60cfd89e6deedcec88dc6",
    "cross_cats_sorted": [
      "physics.ao-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-15T11:57:18Z",
    "title_canon_sha256": "b20e71b565ed43e6d312db2d474ecac977d350bc4bd9981854dd3ce4cda951c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15879",
    "kind": "arxiv",
    "version": 1
  }
}