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:

$$Q_{\text{linear\_resistance}}=\mathrm{clamp}(\frac{h_a-h_b}{R},-Q_{max},Q_{max})$$

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.