2.3.7 Integral form and flux centering

Figure 5: Flux centering.

$\parbox{3.0cm}{\makebox[3.0cm]{}}$ $\parbox{3.0cm}{\makebox[3.0cm]{}}$

Integral form from Eq. (95) for one cell and one time-step (see Fig. 5):

$$\underbrace{ \int\limits_{x_{i-\frac{1}{2}}}^{x_{i+\frac{1... ... {\color{BLUEcolor}f_{i-\frac{1}{2}}^{n+\frac{1}{2}}}} = 0$$ (96)