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Fig. A1. Coordinate systems used to describe the undulating centreline. The
description by prescribed curvature
s(s,t) is
transformed to a description as xs'(s,t)
and ys'(s,t) in the system
(0',x',y') where the center of mass of the
deforming body remains in (x',y')=0 and the total
rotational impulse of the deforming body is 0. The fluid-body interaction is
computed in the inertial system (0,x,y,z) reducing the forces and
torque of the fluid to the center of mass and moving the local coordinate
system (0',x',y') in order to satisfy the
dynamic equations.