# Barges as Macro-singularities

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# Barges as Macro-singularities

We all know that singularities can be manipulated to generate wave cancellation, and in extreme cases even wavemaking-free ship configurations.

Question: Can we string barges in an irregular array to the same purpose?

River barge trains are always made up into N x M rectangular arrays. What if we deviated from this? What if we arranged the barges in a non-rectangular array in an attempt to generate wave cancellation between the units? What would such an array look like, and how effective would it be?

The barge array might end up consisting only of 'bulges' - say a case where the are three barges abreast at one point, and then only one barge, and then two abreast, etc. - or it we might find that we need to run in more of a 'string of pearls' configuration, where 'clumps' of barges are towed with hawsers between the clumps - hawsers which are of length precisely calculated to generate favorable interference between Clump A and Clump B.

Studying this would be straight forward:

> Collect characteristics of 'typical' Mississippi river barge. > Mathematically determine the superposition equation to determine the nodes and antinodes for barge placement. > Test the mathematically-predicted superposition placements in a CFD code. Adjust as necessary by conducted a local variation / perturbation series. > Follow up with physical model testing to validate the CFD results.

Off-ramps occur at steps 2, 3, and 4: If for example the mathematics shows that there is No Chance of favorable interference, then stop. Otherwise, continue.

Project could be accomplished at quite modest expense, with potentially very large savings in tug fuel worldwide.

Note that this concept works equally well with a string of ship-like forms: There is nothing to the concept to say that the individual elements must be rectangular, like barges.