Slope

Definition

The slope used in all Cassiopée's modules is the topographic slope:

The grade (also called slope, incline, gradient, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal. (Source: Wikipedia)

The slope ($I$) in m/m used in Cassiopee's modules is:

$$I=\mathrm{\Delta }h/d=\tan (\alpha )$$

Important:

All calculation modules consider a descending slope as positive except for the "Jet Impact" module where a positive slope will be considered as rising and vice versa. To invert the slope in a calculation sequence of linked modules, use the "linear function" module with $a=-1$ and $b=0$.

The "Slope" module

This tools allows to calculate the missing value of the four quantities:

• upstream elevation ($Z_1$) in m;
• downstream elevation ($Z_2$) in m;
• length ($d$) in m;
• slope ($I$) in m/m, with $I=\frac{(Z_1-Z_2)}{d}$.