LinearResistance

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

1 Tables

1.1 Static

column	type	unit	restriction
node_id	Int32	-	sorted
control_state	String	-	(optional) sorted per node_id
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:

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

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.