Benchmarks for water network modelling

Water network, consisting of a series of nodes (connection points) takes inputs:-

Control schedules - pump, valve, source schedules.
Demands - people using water
Initial conditions - reservoir levels.

Output - heads at nodes (I presume that means how much water is in each node), flows in elements (water flow?) and of course operating costs.

Several eqns describe behaviour of water network.

Topology - connection between nodes (i.e. shape of network). Equivalent to electric circuit with one-way resistors.

Network data - value of parameters in network. Equations represent physical operation of the model. Water network equivalent to an electrical network of non-linear monotonic (one way) resistors.

Non-linear differential algebraic equation (DAE). Describes component, mass balance and energy balance equation. Jacobian of these 3 eqns is non-singular (i.e. it has an inverse)

General Data Format - standard file format for modelling packages (inc. EPANET).

Larger networks more difficult to model. Difficulty index 0-10, determines how difficult it will be to model network.