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A local time stepping method for thermal energy transport in district heating networks

Author

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  • Borsche, Raul
  • Eimer, Matthias
  • Siedow, Norbert

Abstract

In this article a new numerical solver for simulations of district heating networks is presented. The numerical method applies a local time stepping technique to networks of linear advection equations. In combination with a high order approach for coupling conditions an accurate and very efficient scheme is developed. The advantages of the proposed method compared to a generic high order ADER scheme are illustrated in several numerical tests.

Suggested Citation

  • Borsche, Raul & Eimer, Matthias & Siedow, Norbert, 2019. "A local time stepping method for thermal energy transport in district heating networks," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 215-229.
    • Handle: RePEc:eee:apmaco:v:353:y:2019:i:c:p:215-229
    DOI: 10.1016/j.amc.2019.01.072
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    References listed on IDEAS

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    1. Naumann, Alexander & Kolb, Oliver & Semplice, Matteo, 2018. "On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 252-270.
    2. Domschke, Pia & Kolb, Oliver & Lang, Jens, 2015. "Adjoint-based error control for the simulation and optimization of gas and water supply networks," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 1003-1018.
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    Cited by:

    1. Annelies Vandermeulen & Ina De Jaeger & Tijs Van Oevelen & Dirk Saelens & Lieve Helsen, 2020. "Analysis of Building Parameter Uncertainty in District Heating for Optimal Control of Network Flexibility," Energies, MDPI, vol. 13(23), pages 1-25, November.

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