Simulations involving the transport equation (/pure convection) and 2x2 hyperbolic systems.
For a description of the problems considered here and an explanation of the discretization method, see FEM-coupled-transport.pdf
Some pictures:
- two transport equations coupled at the boundary at
$x=\ell$ :
- 2x2 linear hyperbolic system with a force applied at
$x=\ell$ on the second equation: