Pipe roughness identification of water distribution networks: A Tensor method

Stefan Kaltenbacher*, Martin Steinberger, Martin Horn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The identification of pipe roughnesses in a water distribution network is formulated as a 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. Despite the requirement to solve a nonlinear equation to obtain a search direction, the application of the Hadamard/Schur product operator enables the resulting formulation to 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.
Original languageEnglish
Article number126601
Number of pages27
JournalApplied Mathematics and Computation
Publication statusPublished - 2022


  • pipe roughness
  • parameter identification
  • tensor method
  • Water Distribution Network
  • numerical root finding
  • roughness calibration
  • Numerical root finding
  • Water distribution networks
  • Tensor method
  • Roughness calibration

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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