TY  - JOUR
A1  - Waldrip, S. H.
A1  - Niven, R. K.
A1  - Abel, Markus
A1  - Schlegel, M.
T1  - Maximum Entropy Analysis of Hydraulic Pipe Flow Networks
JF  - Journal of hydraulic engineering
KW  - Maximum entropy method
KW  - Water distribution systems
KW  - Hydraulic networks
KW  - Pipe networks
KW  - Hydraulic models
KW  - Non-linear analysis
KW  - Probability
Y1  - 2016
U6  - https://doi.org/10.1061/(ASCE)HY.1943-7900.0001126
SN  - 0733-9429
SN  - 1943-7900
VL  - 142
SP  - 332
EP  - 347
PB  - American Society of Civil Engineers
CY  - Reston
ER  - 
TY  - JOUR
A1  - Waldrip, S. H.
A1  - Niven, Robert K.
A1  - Abel, Markus
A1  - Schlegel, M.
T1  - Reduced-Parameter Method for Maximum Entropy Analysis of Hydraulic Pipe Flow Networks
JF  - Journal of hydraulic engineering
N2  - A maximum entropy (MaxEnt) method is developed to predict flow rates or pressure gradients in hydraulic pipe networks without sufficient information to give a closed-form (deterministic) solution. This methodology substantially extends existing deterministic flow network analysis methods. It builds on the MaxEnt framework previously developed by the authors. This study uses a continuous relative entropy defined on a reduced parameter set, here based on the external flow rates. This formulation ensures consistency between different representations of the same network. The relative entropy is maximized subject to observable constraints on the mean values of a subset of flow rates or potential differences, the frictional properties of each pipe, and physical constraints arising from Kirchhoff’s first and second laws. The new method is demonstrated by application to a simple one-loop network and a 1,123-node, 1,140-pipe water distribution network in the suburb of Torrens, Australian Capital Territory, Australia.
KW  - Maximum entropy method
KW  - Water distribution systems
KW  - Hydraulic networks
KW  - Pipe networks
KW  - Hydraulic models
KW  - Nonlinear analysis
KW  - Probability
Y1  - 2017
U6  - https://doi.org/10.1061/(ASCE)HY.1943-7900.0001379
SN  - 0733-9429
SN  - 1943-7900
VL  - 144
IS  - 2
PB  - American Society of Civil Engineers
CY  - Reston
ER  -