An energetics analysis of fish self-propelled swimming

On the role of added mass and vorticity release for self-propelled aquatic locomotion

“…To satisfy implicitly this condition, some authors proposed a deformation in terms of the mid-line curvature from which the lateral displacement follows (Kern & Koumoutsakos 2006; Wang et al. 2018).…”

“…where x c and y c are the mid-line coordinates and s represents the curvilinear coordinate along the mid-line itself. To satisfy implicitly this condition, some authors proposed a deformation in terms of the mid-line curvature from which the lateral displacement follows (Kern & Koumoutsakos 2006;Wang et al 2018).…”

“…Maertens, Triantafyllou & Yue 2015; Borazjani & Sotiropoulos 2010). Particular attention was also paid to the efficiency parameters and to the different energy contributions spent during self-propelled swimming (Wang, Yu & Tong 2018). A large number of papers are based on the combined solution of the deformable body dynamics and of the Navier–Stokes equations for incompressible viscous flows by different computational methods (see e.g.…”