Pipe Roughness Identification of Water Distribution Networks: A Tensor Method

DOI10.1016/J.AMC.2021.126601zbMATH Open1510.76136arXiv1910.13306MaRDI QIDQ6328095

Martin Steinberger, Stefan Kaltenbacher, Martin Horn

Publication date: 29 October 2019

Abstract: The identification of pipe roughnesses in a water distribution network is formulated as nonlinear system of algebraic equations which turns out to be demanding to solve under real-world circumstances. This paper proposes an enhanced technique to numerically solve this identification problem, extending the conventional Newton-Raphson approach with second-order derivatives in the determination of the search direction. Enabled through some interesting mathematical findings, the resulting formulation can be represented compactly and thus facilitates the development of an efficient and more robust solving-technique. Algorithms on the basis of this more enhanced solving method are then compared to a customized Newton-Raphson approach in simulation examples.

Mathematics Subject Classification ID

Applications of graph theory (05C90) PDEs in connection with fluid mechanics (35Q35) Multilinear algebra, tensor calculus (15A69) Basic methods in fluid mechanics (76M99)

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