2.4.9 Beam-Warming scheme

Figure 15: Stencil and example for Beam-Warming scheme.

Figure 15 shows the stencil diagram and an example for the Beam-Warming scheme with flux at $i+\frac{1}{2}$

$$\textstyle f_{i+\frac{1}{2}}^n = \frac{1}{2} \left[ 3 f \!... ...lta x} \left[ \rho_{i}^n - \rho_{i-1}^n \right] \enspace .$$ (112)