An investigation of wall-anisotropy expressions and length-scale equations for non-linear eddy-viscosity models

• 安倍, 賢一

  九州大学大学院工学研究院航空宇宙工学部門

• Jang, Y.-J.

  Department of Aeronautics, Imperial College of Science, Technology and Medicine

• Leschziner, M.A.

  Department of Aeronautics, Imperial College of Science, Technology and Medicine

抄録

New closure approximations are proposed, within the framework of non-linear eddy-viscosity modeling, which aim specifically at an improved representation of near-wall anisotropy in both shear and stagnation flows. The main novel element is the introduction of tensorial terms, alongside strain and vorticity, which depend on wall-direction indicators and which procure the correct asymptotic near-wall behavior of the Reynolds stresses. The newly formulated non-linear constitutive equation for the Reynolds stresses is combined with low-Reynolds-number forms of equations for the rate of dissipation ε or the specific dissipation ω, the latter incorporating a number of new features into the established form of the equation. The predictive performance of three model variants is investigated by reference to three test flows: a plane channel flow, a separated flow in a channel with periodic hill-shaped obstacles on one wall and a plane-impinging jet. It is shown that the new model elements result in a substantially improved representation of the Reynolds-stress field at the wall, especially in the wall-normal Reynolds stress. One of the variants includes the use of the modified ω-equation, and it is shown that this model performs especially well in the presence of separation.

収録刊行物

• International Journal of Heat and Fluid Flow

  International Journal of Heat and Fluid Flow 24 (2), 181-198, 2003-04

  Elsevier

キーワード

• Non-linear eddy-viscosity model
• Reynolds stress tensor
• Near-wall anisotropy
• Length-scale equation
• Separated flow
• Impinging flow

詳細情報

• CRID: 1050861482657459840
• NII論文ID: 120006952143
• NII書誌ID: AA00234073
• HANDLE: 2324/4150688
• ISSN: 0142727X
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles
  • KAKEN