Generalized ROW-Type Methods for Simulating Water Supply Networks
In order to help water suppliers estimating and improving effectiveness of their facilities with respect to economy and ecology, simulating real pipe networks is of increasing importance. Corresponding models take into account relevant processes such as procurement and preparation of drinking water as well as its subsequent distribution. Resulting mathematical systems prove to be demanding and require research in advanced efficient and robust numerical methods that in particular allow for fast computation. In this context, generalized Rosenbrock-Wanner type methods introduced by Jax and Steinebach (J Comput Appl Math 316:213–228, 2017) seem to be an useful tool to solve arising differential-algebraic equations.
In this article, we investigate pros and cons when exploiting properties of these methods for computing problems that represent typical characteristics of pressurized flows given in water supply networks. Results are promising for tests with proper Jacobian structures. But they also motivate research in enhanced schemes.
We thank members of the Chair of Applied Mathematics/Numerical Analysis at Bergische Universität Wuppertal for all their fruitful discussions. Also, we gratefully acknowledge that the EWave research project is funded by the German Federal Ministry of Education and Research (BMBF) under grant number 02WER1323E. The corresponding author is indebted to the Hochchschule Bonn-Rhein-Sieg Graduate-Institute for financial support by Ph.D. scholarship.
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