A Transport Problem

Model ID: 72


A transport problem, modeling stationary transport in one direction, with a discontinuous solution is solved to illustrate the effect of streamline diffusion.

A pure stationary transport problems contains a convective term only. This means that oscillations and instabilities from the numerical method are some factors that need to be addressed.

Streamline diffusion stabilizes oscillations and instabilities from the numerical method. The PDE is stationary but has a discontinuity in the solution. To prevent instabilities from propagating into areas where the solution should be constant, use streamline diffusion. In this model, we explore streamline diffusion and show how to manually add it.