4.4.2 Linearized Riemann solver

The linearized flux vector becomes

$$\ensuremath{\mathchoice{\mbox{\boldmath$\displaystyle F$}} ... ...{fluxes of characteristic waves}} }_{\mbox{flux corrections}}$$ (208)

Note: $\bar{\bar{\ensuremath{\mathsf{\Lambda}}}}_{i+\frac{1}{2}}$ is a diagonal matrix with the characteristic velocities on the diagonal.

Note: The fluxes of the characteristic waves are the result of a localized linear advection problem. A higher-order correction term (with slope-limiter) could be applied.