The Simulation of Multi-batch Pipelines by a Multiscale Method

The paper deals with simulation of pipelines that are used for transporting different fluids. A system of nonlinear partial differential equations is derived for five variables: pressure, velocity, density, speed of sound, and viscosity. The model is solved by the method of characteristics. Due to the different slopes of characteristics in the (x, t) space two grids are defined. The simulation results are validated by the measurements from a real pipeline.