An assessment of some effects of the nonsmoothness of the Leishman–Beddoes dynamic stall model on the nonlinear dynamics of a typical aerofoil section

Turbulence modeling of deep dynamic stall at relatively low Reynolds number

“…Dynamic stall significantly affects the aerodynamic performance of a large variety of fluid machinery (Ericsson and Reding, 1988), such as helicopters, highly maneuverable fighter jets, gas turbines, and modern wind turbines (Galvanetto et al, 2008). A typical deep dynamic stall process can be categorized into four key stages, i.e.…”

Assessment of added mass effects on flutter boundaries using the Leishman–Beddoes dynamic stall model

“…The aerodynamic coefficients C i ; i = L,D,M are calculated using our interpretation of the state-space form of the LB semi-empirical dynamic stall model (Galvanetto et al, 2008;Chantharasenawong, 2007). The aerodynamic loading is given as a function of a vector of 12 components, the state variables of the system, denoted by x a =[x 1 ,y,x 12 ] T .…”

“…The curve calculated using the LB model presents a discontinuity of slope at y 0 % 15 . This is a consequence of the piecewise smooth definition of the LB model which has been shown to affect significantly the dynamical behaviour of the aeroelastic system in Galvanetto et al (2008).…”

“…The aerodynamic loading on the aerofoil is represented by a semi-empirical model of dynamic stall based on the methods proposed by Leishman and Beddoes, both in indicial and state-space forms, in a series of papers by Beddoes (1976Beddoes ( , 1983Beddoes ( , 1984, Leishman andBeddoes (1986, 1989), Leishman and Nguyen (1988) and Crouse and Leishman (1992). Our version of the state-space model is described by Galvanetto et al (2008) and in more detail by Chantharasenawong (2007). In the following, it will be referred to as the LB model.…”

“…A full description of our interpretation of the LB model, as well as a physical or mathematical interpretation of the variables involved and their relationships in the state-space version of the LB model, is described by Chantharasenawong (2007) and Galvanetto et al (2008). We refer the reader to these references for any queries about the model not covered by this article.…”