chrdz / 2022-transporteq

Some simulations involving the transport equation (/pure convection). In 2021-2022.

Simple 2x2 first-order hyperbolic systems

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: