Limitations of demand- and pressure-driven modeling for large deficient networks
| Autor: | Mathias Braun, Olivier Piller, Iraj Mortazavi, Jochen Deuerlein |
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| Rok vydání: | 2017 |
| Předmět: |
State variable
Correctness Operations research lcsh:T Computer science Process (engineering) Computer Applications 0208 environmental biotechnology 02 engineering and technology lcsh:Technology Pollution Industrial engineering lcsh:TD1-1066 020801 environmental engineering Flow (mathematics) Uniqueness lcsh:Environmental technology. Sanitary engineering Resilience (network) Water Science and Technology Civil and Structural Engineering Network model |
| Zdroj: | Drinking Water Engineering and Science, Vol 10, Pp 93-98 (2017) |
| ISSN: | 1996-9465 |
| DOI: | 10.5194/dwes-10-93-2017 |
| Popis: | The calculation of hydraulic state variables for a network is an important task in managing the distribution of potable water. Over the years the mathematical modeling process has been improved by numerous researchers for the utilization in new computer applications and the more realistic modeling of water distribution networks. But, in spite of these continuous advances, there are still a number of physical phenomena that cannot be tackled correctly by current models. This paper will take a closer look on the two modeling paradigms given by demand and pressure driven modeling. The basic equations are introduced and parallels are drawn to the optimization formulations from electrical engineering. These formulations guarantee existence and uniqueness of the solution. One of the central questions in the French and German research project ResiWater is the investigation of the network resilience in case of extreme events or disasters. Under such extraordinary conditions where models are pushed beyond their limits we talk of deficient network models. Examples of deficient networks are given by highly regulated flow, leakage or pipe bursts and cases where pressure falls below the vapor-pressure of water. These examples will be presented and analyzed on the solvability and physical correctness of the solution with respect to demand and pressure driven models. |
| Databáze: | OpenAIRE |
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