Vortex shedding model of a flapping flag

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Flapping and Bending Bodies Interacting with Fluid Flows (2011, background): “In a closely related approach, Michelin et al. (2008) have also developed a simpler, but fully nonlinear, model wherein the continuous vortex sheet shed by the flexible flag is replaced by the shedding of discrete point vortices with unsteady strengths.”
Resonance and propulsion performance of a heaving flexible wing (2009, methodology): “with wp the principal value of the relative tangential velocity on the wing [28]”
Piezoelectric coupling in energy-harvesting fluttering flexible plates: linear stability analysis and conversion efficiency (2011, background): “Both local [44] and global [20] analyses of the nonlinear regime have been performed for compliant panels or plates placed in an axial flow.”
Flapping dynamics of an inverted flag (2013, background): “These are non-dimensional bending stiffness β and mass ratio µ defined as follows (Connell & Yue 2007; Alben & Shelley 2008; Michelin et al. 2008): β = B ρf U2L3 and µ= ρsh ρf L , (2.1) where B is the flexural rigidity of the sheet (B = Eh3/12(1 − ν2)), ρf is fluid density, and ρs is sheet density.”