title: Strouhal-Reynolds number relationship for bluff-body flows numerically simulated by an artificial boundary method.
abstract: The incidence of the numerical resolution and the blockage effect are investigated in an embedding method for solving bidimensional bluff body flows. This method consists of using an artificial boundary instead of imposing exact conditions on the body surface. It requires us to define a blur frontier ratio and a blockage effect ratio. The blockage effect ratio is found using the mean flow of a circular cylinder directly. The blur frontier ratio is obtained by comparison of the present method with another numerical method where explicit boundary conditions on the body are imposed. For this ratio, the investigations are based on the flow past a square cylinder which discard the uncertainty on the surface of the body for the embedding method. Hence, the two factors allow the transformations of the Strouhal and the Reynolds numbers for the flow past a circular cylinder. The universal Strouhal-Reynolds number relationship of the circular cylinder is finally recovered.
authors.affiliation: Institut de Recherche sur les Phénomènes Hors Equilibre, 49 rue F. Joliot Curie, Boîte Postale 146, 13384 Marseille Cedex 13, France.
authors.forename: J F
authors.initials: JF
authors.lastname: Ravoux
authors.forename: M
authors.initials: M
authors.lastname: Provansal
authors.forename: A
authors.initials: A
authors.lastname: Nadim
authors.forename: L
authors.initials: L
authors.lastname: Schouveiler