2.4.6 FTFS scheme

Figure 13: FTFS scheme: stencil diagram and (disastrous) test result.

Figure 13: FTFS scheme with flux

$$\textstyle f_{i+\frac{1}{2}}^n = f \! \left( \rho_{i+1}^n \right) \enspace .$$ (114)

Small-scale oscillations grow even faster than for the naive scheme and render the FTFS scheme useless (at least for $v>0$), too.