Numerical simulation of laminar-turbulent transition on a dolphin using the γ-Reθ Model

Abstract

The γ-Reθ-model, a two equation, correlation-based transition model using local variables, has been employed to predict the extension of the laminar regions on a stiff geometry of the common dolphin (delphinus delphis) moving in the Reynolds regime of 5.5·105 to 107. Mesh independence was gained for a domain resolution of approximately 30 million cells in an unstructured polyhedral mesh with a prismatic wall region (y+ π 1). The final results conclude with very limited laminar regions and thus a mainly turbulent flow around the body of a dolphin traveling at the usual speed of 3 m/s and a resulting drag coefficient of CD π 0.004 referring to the wetted surface area of A = 1.571 m2. Consequently the potential for active laminarization due to the anisotropic structure of the dolphin skin is well established and is estimated to be as high as 20% with respect to drag force reduction. © Springer-Verlag Berlin Heidelberg 2012.