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5 2D Shallow-Water Modelling
Fig. 5.10 Exercise 11. Same as Fig. 5.9, but with use of the Lax-Wendroff scheme
Fig. 5.11 Exercise 11. Same as Fig. 5.9, but with use of the Superbee limiter
After 9 h of simulation, the initial concentration has reduced by 39%, which is half
the diffusion rate produced by the upstream scheme.
The Super-C scheme produces results similar to the Superbee scheme (Fig. 5.12).
It induces only little diffusion and is largely void of numerical oscillations. After 9 h
of simulation, the initial concentration has reduced by only 19%.
Fig. 5.12 Exercise 11. Same as Fig. 5.9, but with use of the Super-C scheme