1. A method of modeling a physical transport system wherein a physical entity is transported in a physical phase to provide a model for solving a time- and space-variable entity transport problem, the method comprising: a) providing a numerical transport code having multiple time-variable inputs and at least one time-variable output; b) generating a numerical transport code functionalization to represent the numerical transport code, the numerical transport code functionalization defining relationships between the multiple time-variable inputs and the at least one time-variable output; and c) employing the numerical transport code functionalization to build a numerical transport code functionalization model of the physical transport system.