Analysis of a Scale-Similarity Model of the Motion of Large Eddies in Turbulent Flows

✍ Scribed by W.J. Layton

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 115 KB
• Volume: 264
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7688

✦ Synopsis

In turbulent flow, the normal procedure has been to seek means u of the fluid velocity u rather than the velocity itself. If these means are defined by local spacial averaging with an averaging radius of ␦ the approach is known as large eddy Ž . simulation, and u denotes the eddies of size 0 ␦ and larger. One approach to the closure problem which arises from averaging the nonlinear term is use of a scale-similarity hypothesis. We consider one such scale-similarity model. For this model we show the solution w to the model for u converging to u as the averaging 5 5 radius ␦ ª 0. We also show that the error u y w is bounded by the modeling Ž . error perhaps better termed ''modeling residual'' , evaluated on the true solution u.