Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning

• Unsplit implementation of hyperbolic divergence cleaning
• Galilean invariant hyperbolic divergence cleaning (= Powell+GLM)
• Via Roe-linearization full control on wave-wise numerical viscosity

We discuss Roe-type linearizations for non-conservative shallow water magnetohydrodynamics without and with hyperbolic divergence cleaning.