Name
Abstract | ||
|---|---|---|
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. (C) 2021 Published by Elsevier Inc. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.amc.2021.126601 | APPLIED MATHEMATICS AND COMPUTATION |
Keywords | DocType | Volume |
Tensor method, Numerical root finding, Roughness calibration, Water distribution networks | Journal | 413 |
ISSN | Citations | PageRank |
0096-3003 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kaltenbacher Stefan | 1 | 0 | 0.34 |
| Martin Steinberger | 2 | 7 | 7.97 |
| Martin Horn | 3 | 16 | 7.69 |