Puck, a subsidiary of Dexter Monroe LLC, the operational mandate is not merely to move goods, but to orchestrate a high-density swarm of automated land droids and aerial drones within the constrained, dynamic environment of Milwaukee’s Historic Third Ward. In this context, the discrete variables of the classical Transportation Problem break down. The sheer number of agents, the continuous nature of the airspace, the fluid dynamics of wind and battery consumption, and the complex, time-varying constraints of regulatory "line of sight" (VLOS) create a system that behaves less like a graph and more like a fluid.

This report proposes a paradigm shift in the optimization logic for Puck. We reject the static, object-oriented minimization techniques associated with the Bobyleff-Forsyth formula—a legacy of ballistics and projectile drag minimization—in favor of a continuous, field-based control logic governed by the Navier-Stokes equations. By conceptualizing the delivery fleet not as a collection of individual vehicles but as a compressible, viscous fluid flowing through the "porous medium" of the urban landscape, we can achieve emergent optimization. This approach naturally handles obstacle avoidance, demand balancing (pressure equalization), and energy conservation (laminar flow) without the combinatorial explosion typical of discrete pathfinding algorithms. The following analysis details the theoretical derivation, geographic application, and regulatory integration of this Navier-Stokes logistics architecture.