Simulation of n-dimensional second order fluid models with custom oriented barriers

When systems have to process a large number of entities, which can be stored in buffers during their operations, discrete models might suffer from a lot of drawbacks, and fluid approximations give several advantages. When flows are not constant, but affected by variability, second orders fluid models become handy due to their ability of including variance in flow rates. In this context, the simulation of second-order fluid models requires specific techniques especially when considering correlated flows in several dimensions. In this work, we consider arbitrary correlation and fluid barrier structure, and we provide procedures to generate simulation traces of the underlying stochastic process.