Fly Casting Dynamics: Analytical vs. Numerical Solutions

Analytical model compares with numerical simulations for tapered fly line loop dynamics. Critical loop diameter determines if fly velocity increases or decreases. Good agreement during propagation; diverges at turnover.

Coupled Fly Rod/Line Model: Validated by Video.

Numerical model couples fly line (elastica) and rod (Euler-Bernoulli beam) dynamics. Accounts for tension, bending, drag, weight; uses hand motion input. Validated by video: matches line shape, rod position.

Loop Shape Effects on Drag-Induced Lift in Fly Lines

Positive angle-of-attack loops generate 4x lift vs. symmetrical.

Upward drag counters gravity; loops stay aerial longer.

Explains "climbing loops" in distance casting.