LinearResistance

Bidirectional flow proportional to the level difference between the connected basins.

1 Tables

1.1 Static

column	type	unit	restriction
node_id	Int32	-
control_state	String	-	(optional)
active	Bool	-	(optional, default true)
resistance	Float64	\(\text{s}/\text{m}^2\)	-
max_flow_rate	Float64	\(\text{m}^3/s\)	non-negative

2 Equations

A LinearResistance connects two Basins together. The flow between the two Basins is determined by a linear relationship, up to an optional maximum flow rate:

\[ Q_\text{linear\_resistance} = \phi\mathrm{clamp}\left(\frac{h_a - h_b}{R}, -Q_{\max}, Q_{\max}\right) \]

Here \(h_a\) is the water level in the incoming Basin and \(h_b\) is the water level in the outgoing Basin. \(R\) is the resistance of the link, and \(Q_{\max}\) is the maximum flow rate. Water flows from high to low; either direction is possible. \(\phi\) is the reduction factor which makes the flow go smoothly to \(0\) as the upstream storage (as determined by the flow direction) becomes smaller than the equivalent of a water depth of \(10 \;\text{cm}\).