This chapter explains the physical model used to study the energy dynamics of interacting quantized vortices. The first half of the chapter introduces the vortex filament model used for the isolated and chaotic vortex models and the vortex bundle models; here each vortex carries one quantum of circulation equal to \(\kappa = h/m\) , where \(h\) is Plank’s constant and \(m\) is the mass of a single particle of fluid. The vortex filaments are discretized into several vortex points which then are used to calculate the velocity induced by each of them to all of the other vortex points. This chapter also explains how by arranging the quantized vortices into bundles, there are two different interpretations; a bundle of quantized vortices and a way to discretize a classical vortex ring. The second half of the chapter covers the reconnection algorithm used, explained mathematically and graphically. There are several parameters that can affect the reconnection in the quantized vortex physical model; \(\beta\) controls how often reconnections happening by changing the threshold at which reconnections are allowed to happen. The algorithm is also capable to choose between the discretization length of the model and the intervortex distance to calculate the reconnection threshold. Furthermore, a reconnection is only allowed to occur when the resulting tangle length is smaller than the original tangle length; this way I am able to model the loss in kinetic energy when reconnection occurs.