Numerical Methods for Scientists and Engineers
Numerical Methods for Scientists and Engineers
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Use of modelling error dynamics for the calibration of water distribution systems
Advances in Engineering Software
Advances in Engineering Software
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The aim of the paper is to demonstrate that the Levenberg-Marquardt algorithm can give successful results when operational water distribution systems are calibrated with the proper selection of parameter increment for the calculation of partial derivatives. The functional dependence of pipe roughness on age, which describes linear and nonlinear dependences, is proposed for the calibration of a model of a water distribution system containing pipes of different age. It is also shown that the visualization of response surface on a coarse grid is very useful for the analysis of the results.