2.6.8 PLM scheme with Superbee slope-limiter

Figure 21: Stencil and example for PLM scheme with Superbee slope-limiter.

Figure 21: PLM scheme with Superbee slope (maximum allowed 2nd order slope).

$$\delta \! \rho_i = \left[ \mbox{sign} \! \left( \rho_{i} - \rho_{i-1} \right) + \mbox{sign} \! \left( \rho_{i+1} - \rho_{i} \right) \right]$$ (157)

$$\min \! \left( \mbox{abs} \! \left( \rho_{i} - \rho_{i-1} \right)... ..., \mbox{abs} \! \left( \rho_{i+1} - \rho_{i} \right) \right) \right) \enspace .$$