title: Turbulence constitutive modeling of the square root of the Reynolds stress.
abstract: A methodology for turbulence constitutive modeling is discussed on the basis of the square-root tensor of the Reynolds stress. The present methodology can satisfy the realizability condition for the Reynolds stress proposed by Schumann [Phys. Fluids 20, 721 (1977)] in a more general manner than the conventional methodologies. The definition and uniqueness of the square-root tensor have been discussed, and its boundary condition has been properly obtained consistently with that of the Reynolds stress. Examples of possible constitutive models of both tensor-expansion and transport-equation types have been proposed.
authors.affiliation: Institute of Industrial Science, University of Tokyo Komaba 4-6-1, Meguro-ku, Tokyo, Japan.
authors.forename: Taketo
authors.initials: T
authors.lastname: Ariki