lateral cancellation in sine wave propulsion
Clearly different approaches to propagate the wave have differing advantages with respect to speed and maneuverability.
From: http://www.ece.eps.hw.ac.uk/Research/oceans/projects/flaps/bcfmodes.htm
Anguilliform mode
Anguilliform is a purely undulatory mode of swimming, in which most or all of the body participates. The side-to-side amplitude of the wave is relatively large along the whole body, and it increases toward the tail.The body is long and thin, while the caudal fin is typically small and rounded, often missing altogether.
The inclusion of at least one wavelength of the propulsive wave along the body, means that lateral forces are adequately cancelled out, minimising any tendencies for the body to yaw. Typical examples of this common locomotion mode are the eel and the lamprey.
[This cancellation of lateral movement is what I was trying to explain in another thread initiated by Vlad]
Subcarangiform mode
Body movements in subcarangiform swimmers (e.g. trout) are vey similar to anguilliform mode, the main difference being that the side-to-side amplitude of the undulations is small anteriorly, and expands significantly only in the posterior half or one-third of the body.
Carangiform mode
For carangiform swimming the body undulations are further confined to the last third of the body length, and thrust is provided by a rather stiff caudal fin. Since less energy is lost in lateral water shedding and vortex formation, efficiency is improved and carangiform swimmers are faster than anguilliform or subcarangiform ones. However, their turning and accelerating abilities are compromised,
due to the relative rigidity of their bodies. Furthermore, there is an increased tendency for the body to recoil, because the lateral forces are concentrated at the posterior. Lighthill identified two main morphological adaptations associated with the minimisation of the recoil forces: (i) a reduced depth of the fish body at the point where the caudal fin attaches to the trunk (the
peduncle) and (ii) the concentration of the body depth and mass towards the anterior part of the fish.
Thunniform mode
Thunniform mode is by far the most efficient locomotion mode evolved in the aquatic environment, where thrust is generated with a lift-based method, allowing high cruising speeds to be maintained for long periods.
Significant lateral movements occur only at the caudal fin (producing more than 90% of the thrust) and at the area near the narrow peduncle. The body is very well streamlined, while the caudal fin is stiff and high, with a crescent-moon shape often referred to as lunate. Despite the power of the caudal thrusts, the body shape and mass distribution ensure that the recoil forces are effectively minimised and very little sideslipping is induced. Although the design of thunniform swimmers is optimised for high-speed swimming in calm waters, it is particularly inefficient for other actions such as slow swimming, turning manoeuvres and rapid acceleration from stationary, as well as for turbulent water.
The gradation of the undulatory BCF swimming from anguilliform to thunniform modes (Source: Lindsey 1978).