Rotational Forms of Large Eddy Simulation Turbulence Models:Modeling and Mathematical Theory

• 作者: Luigi C.BERSELLI Roger LEWANDOWSKI Dinh Duong NGUYEN
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 17-40
• 页数: 24页
• 语种: 英文
• DOI: 10.1007/s11401-021-0243-z

摘要

In this paper the authors present a derivation of a back-scatter rotational Large Eddy Simulation model,which is the extension of the Baldwin & Lomax model to non-equilibrium problems.The model is particularly designed to mathematically describe a fluid filling a domain with solid walls and consequently the differential operators appear-ing in the smoothing terms are degenerate at the boundary.After the derivation of the model,the authors prove some of the mathematical properties coming from the weighted energy estimates,which allow to prove existence and uniqueness of a class of regular weak solutions.