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Finite volume method — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Finite_volume_method
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-06T18:20:51.442Z
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Finite volume method — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Finite_volume_method (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_48dfeff93e64 (Metraipolis archive dc_48dfeff93e64, sha256 9bc8b1a621ecfb277fbb8f572ab8c2729f70d9e878bbcf67c44e24329002be17)

BibTeX

@misc{dc48dfeff93e64,
  title = {Finite volume method — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Finite_volume_method},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_48dfeff93e64; sha256 9bc8b1a621ecfb277fbb8f572ab8c2729f70d9e878bbcf67c44e24329002be17},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Finite_volume_method. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem. These terms are then evaluated as fluxes at the surfaces of each finite volume. Because the flux entering a given volume is identical to that leaving the adjacent volume, these methods are conservative. Another advantage of the finite volume method is that it is easily formulated to allow for unstructured meshes. The method is used in many computational fluid dynamics packages. "Finite volume" refers to the small volume surrounding each node point on a mesh. Finite volume methods can be compared and contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations of a solution using local data, and construct a global approximation by stitching them together. In contrast a finite volume method evaluates exact expressions for the average value of the solution over some volume, and uses this data to construct approximations of the solution within cells.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «numerical analysis»).
Fonte: Wikipedia in inglese, voce «Finite volume method» — https://en.wikipedia.org/wiki/Finite_volume_method
Wikidata Q1401936 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q1401936
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Finite_volume_method?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1351099110, consultata il 2026-10-06T16:46:10.977Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: f6236f8bfbd17f726110366545ed0854311bdf45913fe5d2bdb1fb174009eba1