Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow

Meryem Kaya

Journal of Applied Mathematics, 2003, vol. 2003, issue 9, 429-446

Abstract: In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large‐ and small‐length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger. Applying local spatial averaging operator with averaging radius δ to the Navier‐Stokes equations gives a new system of equations governing the large scales. However, it has the well‐known problem of closure. One approach to the closure problem which arises from averaging the nonlinear term is the use of a scale similarity hypothesis. We consider one such scale similarity model. We prove the existence of weak solutions for the resulting system.

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/S1110757X03301111

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2003:y:2003:i:9:p:429-446

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().