Simulating a Battlefield Maneuver Using Reaction Diffusion Equations

摘要

In this paper we present a battlefield simulation model which uses a set of partial differential equations, called reaction diffusion equations, to model the behavior of each army on the battlefield. The model is used to simulate the attack of a stationary red force by a blue force. In this simulation, the blue army is divided into three smaller forces. Two of the blue forces envelop the red army while the third force conducts a diversionary frontal attack. We use the reaction diffusion equation based model to study the effects of variation of model parameters on the overall battle dynamics.