2.4.8 Lax-Wendroff scheme

Figure 14: Stencil and example for Lax-Wendroff scheme.

Figure 14 shows the stencil diagram and an example for the Lax-Wendroff scheme with flux at $i+\frac{1}{2}$

$$\textstyle f_{i+\frac{1}{2}}^n = \frac{1}{2} \left[ f \! \... ...lta x} \left[ \rho_{i+1}^n - \rho_{i}^n \right] \enspace .$$ (111)