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So, R.M.C., Vimala, P., Jin, L.H., Zhao, C.Y. and Gatski, T.B. (2002) Accounting for Buoyancy Effects in the Explicit Algebraic Stress Model: Homogeneous Turbulent Shear Flows. Theoretical and Computational Fluid Dynamics, 15, 283-302. ttps://doi.org/10.1007/s00162-002-0057-x

has been cited by the following article:

• TITLE: Explicit Algebraic Stress Model for Three-Dimensional Turbulent Buoyant Flows Derived Using Tensor Representation

  AUTHORS: Ronald M. C. So

  KEYWORDS: Explicit Algebraic Stress Model, Buoyant Flows, Tensor Representation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.4, April 15, 2022

  ABSTRACT: An explicit algebraic stress model (EASM) has been formulated for two-dimensional turbulent buoyant flows using a five-term tensor representation in a prior study. The derivation was based on partitioning the buoyant flux tensor into a two-dimensional and a three-dimensional component. The five-term basis was formed with the two-dimensional component of the buoyant flux tensor. As such, the derived EASM is limited to two-dimensional flows only. In this paper, a more general approach using a seven-term representation without partitioning the buoyant flux tensor is used to derive an EASM valid for two- and three-dimensional turbulent buoyant flows. Consequently, the basis tensors are formed with the fully three-dimensional buoyant flux tensor. The derived EASM has the two-dimensional flow as a special case. The matrices and the representation coefficients are further simplified using a four-term representation. When this four-term representation model is applied to calculate two-dimensional homogeneous buoyant flows, the results are essentially identical with those obtained previously using the two-dimensional component of the buoyant flux tensor. Therefore, the present approach leads to a more general EASM formulation that is equally valid for two- and three-dimensional turbulent buoyant flows.