Implicit finite volume method with a posteriori limiting for transport networks

  • Simulating the flow of water in district heating networks requires numerical methods which are independent of the CFL condition. We develop a high order scheme for networks of advection equations allowing large time steps. With the MOOD technique unphysical oscillations of non smooth solutions are avoided. In numerical tests the applicability to real networks is shown.

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Author:Matthias Eimer, Raul Borsche, Norbert Siedow
Document Type:Preprint
Language of publication:English
Publication Date:2021/03/16
Year of Publication:2021
Publishing Institute:Technische Universit├Ąt Kaiserslautern
Date of the Publication (Server):2021/03/16
Number of page:21
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Creative Commons 4.0 - Namensnennung, nicht kommerziell (CC BY-NC 4.0)