3.2.6 Example: step-function and conservativity

Figure 29: Non-conservative scheme (left), conservative scheme (right).

Figure 29 displays the outcome for a test with an initial step-function (a Riemann problem) for the non-conservative scheme (186) and the conservative scheme (185).

• Clearly, the non-conservative scheme fails again to get the shock speed right.
• The wrong solution is not indicated by any helpful wiggles or numerical artifacts.